Many-body localization, thermalization, and entanglement

Abstract

Thermalizing quantum systems are conventionally described by statistical mechanics at equilibrium. However, not all systems fall into this category, with many body localization providing a generic mechanism for thermalization to fail in strongly disordered systems. Many-body localized (MBL) systems remain perfect insulators at non-zero temperature, which do not thermalize and therefore cannot be described using statistical mechanics. In this Colloquium we review recent theoretical and experimental advances in studies of MBL systems, focusing on the new perspective provided by entanglement and non-equilibrium experimental probes such as quantum quenches. Theoretically, MBL systems exhibit a new kind of robust integrability: an extensive set of quasi-local integrals of motion emerges, which provides an intuitive explanation of the breakdown of thermalization. A description based on quasi-local integrals of motion is used to predict dynamical properties of MBL systems, such as the spreading of quantum entanglement, the behavior of local observables, and the response to external dissipative processes. Furthermore, MBL systems can exhibit eigenstate transitions and quantum orders forbidden in thermodynamic equilibrium. We outline the current theoretical understanding of the quantum-to-classical transition between many-body localized and ergodic phases, and anomalous transport in the vicinity of that transition. Experimentally, synthetic quantum systems, which are well-isolated from an external thermal reservoir, provide natural platforms for realizing the MBL phase. We review recent experiments with ultracold atoms, trapped ions, superconducting qubits, and quantum materials, in which different signatures of many-body localization have been observed. We conclude by listing outstanding challenges and promising future research directions.

(v2) minor changes, added one figure and expanded bibliography; (v1) colloquium-style review on many-body localization; 29 pages, 11 figures; comments are welcome

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• Entanglement transitions and quantum bifurcations under continuous long-range monitoring
• Phenomenology of anomalous transport in disordered one-dimensional systems
• Statistical Mechanics of Floquet Quantum Matter: Exact and Emergent Conservation Laws
• Characterization and Verification of Trotterized Digital Quantum Simulation via Hamiltonian and Liouvillian Learning
• Measuring entanglement entropy and its topological signature for phononic systems
• Mobility edge of Stark many-body localization
• Scaling of Fock-space propagator and multifractality across the many-body localization transition
• Keldysh Nonlinear Sigma Model for a Free-Fermion Gas under Continuous Measurements
• Multiple quantum scar states and emergent slow-thermalization in the flat-band system
• Many-body localization in the interpolating Aubry-André-Fibonacci model
• Critical behavior of the Anderson model on the Bethe lattice via a large-deviation approach
• Many-body dynamical phase transition in quasi-periodic potential
• Topological Quantum Many-Body Scars in Quantum Dimer Models on the Kagome Lattice
• The internal clock of many-body delocalization
• Exact solution for the filling-induced thermalization transition in a 1D fracton system
• Numerical evidence for many-body localization in two and three dimensions
• Emergent Bloch oscillations in a kinetically constrained Rydberg spin lattice
• Non-equilibrium steady state phases of the interacting Aubry-Andre-Harper model
• Photonic Floquet time crystals
• Coexistence of localization and transport in many-body two-dimensional Aubry-André models
• Detecting delocalization-localization transitions from full density distributions
• Entanglement from tensor networks on a trapped-ion QCCD quantum computer
• Creating locally interacting Hamiltonians in the synthetic frequency dimension for photons
• Decodable hybrid dynamics of open quantum systems with Z_2 symmetry
• Dynamics of quasiperiodically driven spin systems
• Down-conversion of a single photon as a probe of many-body localization
• The general approach to the critical phase with coupled quasiperiodic chains
• Quantum simulations with complex geometries and synthetic gauge fields in a trapped ion chain
• Non-thermalized Dynamics of Flat-Band Many-Body Localization
• Detecting entanglement structure in continuous many-body quantum systems
• Critical behavior near the many-body localization transition in driven open systems
• Many-body dynamical localization in the kicked Bose-Hubbard chain
• Quantum coherence and the localization transition
• Many-body synchronisation in a classical Hamiltonian system
• Non-Abelian symmetries and disorder: a broad non-ergodic regime and anomalous thermalization
• Discrete time crystals enforced by Floquet-Bloch scars
• Level statistics of real eigenvalues in non-Hermitian systems
• Negativity Spectra in Random Tensor Networks and Holography
• Emergent statistical mechanics from properties of disordered random matrix product states
• $Large-scale$ thermalization, prethermalization and impact of the temperature in the quench dynamics of two unequal Luttinger liquids
• Quantum Many-Body Scars in Spin-1 Kitaev Chains
• Observation of quantum thermalization restricted to Hilbert space fragments
• Renormalization Group Analysis of the Anderson Model on Random Regular Graphs
• Decoherence scaling transition in the dynamics of quantum information scrambling
• Drive-induced many-body localization and coherent destruction of Stark many-body localization
• Topological edge modes without symmetry in quasiperiodically driven spin chains
• Eigenstate entanglement entropy in $PT$ invariant non-Hermitian system
• Nonergodic dynamics in disorder-free potentials
• Stability of Time-Reversal Symmetry Protected Topological Phases
• Scale-Invariant Survival Probability at Eigenstate Transitions
• Symmetry restoration and quantum Mpemba effect in many-body localization systems
• Deep thermalization in constrained quantum systems
• Exhaustive Characterization of Quantum Many-Body Scars using Commutant Algebras
• Quasi-Many-Body Localization of Interacting Fermions with Long-Range Couplings
• Classification of interacting Floquet phases with $U(1)$ symmetry in two dimensions
• Photo-induced nonequilibrium states in Mott insulators
• Thermalization of many many-body interacting SYK models
• Controlling nonlinear interaction in a many-mode laser by tuning disorder
• Quantum Mpemba Effects from Symmetry Perspectives
• Extracting many body localization lengths with an imaginary vector potential
• Local Integrals of Motion in Quasiperiodic Many-Body Localized Systems
• Singular measures and information capacity of turbulent cascades
• Entanglement dynamics in the many-body Hatano-Nelson model
• Quantum scars and bulk coherence in a symmetry-protected topological phase
• Ergodicity breaking provably robust to arbitrary perturbations
• Localised Dynamics in the Floquet Quantum East Model
• Rydberg platform for non-ergodic chiral quantum dynamics
• Holographic Quantum Scars
• Renyi entanglement entropy of Fermi liquids and non-Fermi liquids: Sachdev-Ye-Kitaev model and dynamical mean field theories
• Non-ergodic behaviour of clean Bose-Hubbard chains
• Out-of-time-ordered correlator in non-Hermitian quantum systems
• Demonstration of a parity-time symmetry breaking phase transition using superconducting and trapped-ion qutrits
• Stark many-body localization transitions in superconducting circuits
• Few-body nature of Kondo correlated ground states
• Hubbard Models for Quasicrystalline Potentials
• Entanglement transitions as a probe of quasiparticles and quantum thermalization
• Interaction-Driven Instabilities in the Random-Field XXZ Chain
• Probing non-Markovian quantum dynamics with data-driven analysis: Beyond "black-box" machine learning models
• Quantum metrology in the noisy intermediate-scale quantum era
• Periodically driven Rydberg chains with staggered detuning
• From ETH to algebraic relaxation of OTOCs in systems with conserved quantities
• Critical Theory for the Breakdown of Photon Blockade
• Many-Body Localization Landscape
• Adaptive-weighted tree tensor networks for disordered quantum many-body systems
• Variational Schrieffer-Wolff Transformations for Quantum Many-Body Dynamics
• Entanglement dynamics with string measurement operators
• Dynamics of quantum information scrambling under decoherence effects measured via active spins clusters
• Observation of many-body quantum phase transitions beyond the Kibble-Zurek mechanism
• Proof of absence of local conserved quantities in the mixed-field Ising chain
• Engineering Dissipative Quasicrystals
• Many-body localization in Bose-Hubbard model: evidence for the mobility edge
• Observing and braiding topological Majorana modes on programmable quantum simulators
• Topological order in random interacting Ising-Majorana chains stabilized by many-body localization
• Controlling local thermalization dynamics in a Floquet-engineered dipolar ensemble
• Two-dimensional spin systems in PECVD-grown diamond with tunable density and long coherence for enhanced quantum sensing and simulation
• Exact solution of long-range stabilizer Rényi entropy in the dual-unitary XXZ model
• Observing Floquet topological order by symmetry resolution
• From entanglement certification with quench dynamics to multipartite entanglement of interacting fermions
• Mobility edge in long-range interacting many-body localized systems
• Many-body localization in spin chains with the long-range transverse interactions: scaling of critical disorder with the system size
• Emergence of solitons from many-body photon bound states in quantum nonlinear media
• Arresting classical many-body chaos by kinetic constraints
• Krylov Delocalization/Localization across Ergodicity Breaking
• Long-lived topological time-crystalline order on a quantum processor
• Many-body localization in XY spin chains with long-range interactions: An exact diagonalization study
• Mean field theory of failed thermalizing avalanches
• Exact Spectral Statistics in Strongly Localised Circuits
• Coherent multiple scattering of out-of-equilibrium interacting Bose gases
• Out of equilibrium Phase Diagram of the Quantum Random Energy Model
• Dissipative prethermal discrete time crystal
• The non-Hermitian skin effect: A perspective
• Hilbert space delocalization under random unitary circuits
• Entanglement Hamiltonian of Many-body Dynamics in Strongly-correlated Systems
• Role of Fock-space correlations in many-body localization
• Diffusion constants from the recursion method
• Decay of spin-spin correlations in disordered quantum and classical spin chains
• Entanglement and precession in two-dimensional dynamical quantum phase transitions
• Interplay and competition between disorder and flat band in an interacting Creutz ladder
• Ultrafast Many-Body Dynamics in an Ultracold Rydberg-Excited Atomic Mott Insulator
• Entanglement Growth and Minimal Membranes in $(d+1)$ Random Unitary Circuits
• Guide to Exact Diagonalization Study of Quantum Thermalization
• Tuning the phase diagram of a Rosenzweig-Porter model with fractal disorder
• Simulating prethermalization using near-term quantum computers
• Sufficient condition for gapless spin-boson Lindbladians, and its connection to dissipative time-crystals
• Critical and Topological Phases of Dimerized Kitaev Chain in Presence of Quasiperiodic Potential
• Preparing quantum many-body scar states on quantum computers
• Stability of mobility edges in disordered interacting systems
• Density and current statistics in boundary-driven monitored fermionic chains
• Thermalisation Dynamics and Spectral Statistics of Extended Systems with Thermalising Boundaries
• Hilbert space fragmentation and interaction-induced localization in the extended Fermi-Hubbard model
• Prethermalization and the local robustness of gapped systems
• Probing many-body localization in a disordered quantum dimer model on the honeycomb lattice
• A note on the quasiperiodic many-body localization transition in dimension $d>1$
• Extensive Long-Range Entanglement in a Nonequilibrium Steady State
• Quantum Many-Body Scars in Dual-Unitary Circuits
• Dynamics of Disordered Quantum Systems Using Flow Equations
• Transport through interacting defects and lack of thermalisation
• Emergent conservation laws and nonthermal states in the mixed-field Ising model
• Comparing many-body localization lengths via non-perturbative construction of local integrals of motion
• Catching thermal avalanches in the disordered XXZ model
• Localized dynamics following a quantum quench in a non-integrable system: An example on the sawtooth ladder
• Detecting ergodic bubbles at the crossover to many-body localization using neural networks
• Observation of anomalous information scrambling in a Rydberg atom array
• Avalanche stability transition in interacting quasiperiodic systems
• Subdiffusive dynamics and critical quantum correlations in a disorder-free localized Kitaev honeycomb model out of equilibrium
• Entanglement and thermodynamic entropy in a clean many-body-localized system
• Intrinsic Quantum Mpemba Effect in Markovian Systems and Quantum Circuits
• Fractionalization paves the way to local projector embeddings of quantum many-body scars
• Slow Nonthermalizing Dynamics in a Quantum Spin Glass
• Motif magnetism and quantum many-body scars
• Weak Ergodicity Breaking in Non-Hermitian Many-body Systems
• Chaos in the Bose-Hubbard model and random two-body Hamiltonians
• Bridging the gap between classical and quantum many-body information dynamics
• Non-equilibrium pre-thermal states in a two-dimensional photon fluid
• Disorder and interaction in chiral chains: Majoranas vs complex fermions
• Statics and Dynamics of non-Hermitian Many-Body Localization
• Diagnostics of nonergodic extended states and many body localization proximity effect through real-space and Fock-space excitations
• Incommensurate many-body localization in the presence of long-range hopping and single-particle mobility edge
• Role of coherence in many-body Quantum Reservoir Computing
• Thermalization of non-Fermi-liquid electron-phonon systems: Hydrodynamic relaxation of the Yukawa-Sachdev-Ye-Kitaev model
• Caustics in quantum many-body dynamics
• Exploring Hilbert-Space Fragmentation on a Superconducting Processor
• Many-body localization and enhanced non-ergodic sub-diffusive regime in the presence of random long-range interactions
• Disorder-tunable entanglement at infinite temperature
• Many-body delocalization from embedded thermal inclusion
• Disorder-assisted excitation localization in chirally coupled quantum emitters
• Hilbert space fragmentation in a long-range system
• Uncovering Local Integrability in Quantum Many-Body Dynamics
• Strong Hilbert space fragmentation via emergent quantum drums in two dimensions
• Quantum correlations of localized atomic excitations in a disordered atomic chain
• Multipartite entanglement in the 1-D spin-$\frac{1}{2}$ Heisenberg Antiferromagnet
• Disorder-free localization with Stark gauge protection
• Quantum quench dynamics in the transverse-field Ising model: A numerical expansion in linked rectangular clusters
• Effective thermalization of a many-body dynamically localized Bose gas
• Quantum localization measures in phase space
• Three-fold way of entanglement dynamics in monitored quantum circuits
• Power-law entanglement growth from typical product states
• Anomalous diffusion and localization in a positionally disordered quantum spin array
• Hierarchy of many-body invariants and quantized magnetization in anomalous Floquet insulators
• Describing many-body localized systems in thermal environments
• Propagation of Many-body Localization in an Anderson Insulator
• Interplay between transport and quantum coherences in free fermionic systems
• Classical algorithms for many-body quantum systems at finite energies
• Dephasing in strongly disordered interacting quantum wires
• Theory of robust quantum many-body scars in long-range interacting systems
• Scrambling and Many-Body Localization in the XXZ-Chain
• Restoring ergodicity in a strongly disordered interacting chain
• Universal dynamics and non-thermal fixed points in quantum fluids far from equilibrium
• From eigenstate to Hamiltonian: Prospects for ergodicity and localization
• Entanglement dynamics in the three-dimensional Anderson model
• Disorder-free localization in quantum walks
• Quantum to classical crossover in many-body chaos and scrambling from relaxation in a glass
• Ergodicity-to-localization transition on random regular graphs with large connectivity and in many-body quantum dots
• Scaling properties of a spatial one-particle density-matrix entropy in many-body localized systems
• Many-body localization transition from flatband fine-tuning
• Interaction-induced multiparticle bound states in the continuum
• Foundation Neural-Networks Quantum States as a Unified Ansatz for Multiple Hamiltonians
• Floquet-engineered nonlinearities and controllable pair-hopping processes: From optical Kerr cavities to correlated quantum matter
• Floquet engineering of optical nonlinearities: a quantum many-body approach
• Classical Chaos in Quantum Computers
• Polynomial filter diagonalization of large Floquet unitary operators
• Stability of the many-body scars in fermionic spin-1/2 models
• A comparative study of universal quantum computing models: towards a physical unification
• Dynamical localization and slow thermalization in a class of disorder-free periodically driven one-dimensional interacting systems
• Particle fluctuations and the failure of simple effective models for many-body localized phases
• Distinguishing an Anderson Insulator from a Many-Body Localized phase through space-time snapshots with Neural Networks
• Quantum computation of molecular structure using data from challenging-to-classically-simulate nuclear magnetic resonance experiments
• Fully localized and partially delocalized states in the tails of Erdös-Rényi graphs in the critical regime
• Extracting Quantum Many-Body Scarred Eigenstates with Matrix Product States
• Numerical linked cluster expansions for inhomogeneous systems
• Thermalization and its Breakdown for a Large Nonlinear Spin
• Localization, multifractality, and many-body localization in periodically kicked quasiperiodic lattices
• Probing the edge between integrability and quantum chaos in interacting few-atom systems
• Competition of long-range interactions and noise at ramped quench dynamical quantum phase transition: The case of the long-range pairing Kitaev chain
• Floquet-induced localization in long-range many-body systems
• Multifractal phase in the weighted adjacency matrices of random Erdös-Rényi graphs
• A toy model for anomalous transport and Griffiths effects near the Many-Body Localization transition
• Entanglement entropy and out-of-time-order correlator in the long-range Aubry-André-Harper model
• Glassy quantum dynamics of disordered Ising spins
• Enhanced Amplitude for Superconductivity due to Spectrum-wide Wave Function Criticality in Quasiperiodic and Power-law Random Hopping Models
• Random matrix theory for quantum and classical metastability in local Liouvillians
• Breakdown of ergodicity in disordered U(1) lattice gauge theories
• Semiclassical dynamics of a disordered two-dimensional Hubbard model with long-range interactions
• Exact eigenstates of multicomponent Hubbard models: SU($N$) magnetic $\eta$ pairing, weak ergodicity breaking, and partial integrability
• Lattice control of non-ergodicity in a polar lattice gas
• Weakly interacting disordered Bose gases out of equilibrium: from multiple scattering to superfluidity
• Observation of topological prethermal strong zero modes
• Boundary Quantum Phase Transitions in the Spin $\frac{1}{2}$ Heisenberg Chain with Boundary Magnetic Fields
• Hierarchical hydrodynamics in long-range multipole-conserving systems
• Spin-orbital-angular-momentum-coupled quantum gases
• Weak-measurement-induced asymmetric dephasing: manifestation of intrinsic measurement chirality
• Protecting Quantum Information in Quantum Dot Spin Chains by Driving Exchange Interactions Periodically
• Dynamics of Many-Body Delocalization in the Time-dependent Hartree-Fock Approximation
• Scrambling and operator entanglement in local non-Hermitian quantum systems
• Exact projector Hamiltonian, local integrals of motion, and many-body localization with topological order
• Cloud shape of a molecular Bose-Einstein condensate in a disordered trap: a case study of the dirty boson problem
• Feedback Induced Magnetic Phases in Binary Bose-Einstein Condensates
• Quantum Many-Body Scars beyond the PXP model in Rydberg simulators
• Topologically stable ergodicity breaking from emergent higher-form symmetries in generalized quantum loop models
• Symmetry Breaking Dynamics in Quantum Many-Body Systems
• Entanglement Transitions in Unitary Circuit Games
• Multifractality and Fock-space localization in many-body localized states: one-particle density matrix perspective
• Observation of subdiffusive dynamic scaling in a driven and disordered Bose gas
• Exact universal bounds on quantum dynamics and fast scrambling
• Performance evaluation of the discrete truncated Wigner approximation for quench dynamics of quantum spin systems with long-range interactions
• Simulation of many body localization and time crystals in two dimensions with the neighborhood tensor update
• Ergodicity breaking with long range cavity induced quasiperiodic interactions
• Discrete time crystal in the gradient field Heisenberg model
• Deep thermalization under charge-conserving quantum dynamics
• From spin chains to real-time thermal field theory using tensor networks
• The Fock-space landscape of many-body localisation
• From Ergodicity to Many-Body Localization in a One-Dimensional Interacting Non-Hermitian Stark System
• Floquet Anderson Localization of Two Interacting Discrete Time Quantum Walks
• Probability transport on the Fock space of a disordered quantum spin chain
• Adaptive Trotterization for time-dependent Hamiltonian quantum dynamics using piecewise conservation laws
• Nucleation of ergodicity by a single mobile impurity in supercooled insulators
• Observation of entanglement negativity transition of pseudo-random mixed states
• Hilbert-space correlations beyond multifractality and bipartite entanglement in many-body localised systems
• Dynamic spin localization and gamma-magnets
• Dynamical localization of interacting bosons in the few-body limit
• Many-Body Mobility Edge in Quantum Sun models
• Many-body localization and the area law in two dimensions
• Approximating the long time average of the density operator: Diagonal ensemble
• Eigenstate localization in a many-body quantum system
• Thermal variational quantum simulation on a superconducting quantum processor
• Quantum simulation of operator spreading in the chaotic Ising model
• Observation of a phase transition from a continuous to a discrete time crystal
• Universality classes of thermalization for mesoscopic Floquet systems
• Integrable nonunitary quantum circuits
• Bridging quantum many-body scar and quantum integrability in Ising chains with transverse and longitudinal fields
• High Temperature Virial Expansion to Universal Quench Dynamics
• Entanglement complexity of the Rokhsar-Kivelson-sign wavefunctions
• Density dynamics in the mass-imbalanced Hubbard chain
• Feedback-stabilized dynamical steady states in the Bose-Hubbard model
• Entanglement in multinucleon transfer reactions
• Anomalous localization at the boundary of an interacting topological insulator
• Flow Equations for Disordered Floquet Systems
• Information-Theoretic Memory Scaling in the Many-Body Localization Transition
• Dissipative Quantum Chaos unveiled by Stochastic Quantum Trajectories
• Persistent homology analysis of a generalized Aubry-André-Harper model
• Perturbative instability towards delocalization at phase transitions between MBL phases
• Entanglement asymmetry dynamics in random quantum circuits
• Mobility edges through inverted quantum many-body scarring
• Ultraslow Growth of Number Entropy in an l-bit Model of Many-Body Localization
• Macroscopic Length Correlations in Non-Equilibrium Systems and Their Possible Realizatons
• Entanglement scaling in fermion chains with a localization-delocalization transition and inhomogeneous modulations
• Loschmidt echo singularities as dynamical signatures of strongly localized phases
• Glassy word problems: ultraslow relaxation, Hilbert space jamming, and computational complexity
• Anisotropic Landau-Lifshitz Model in Discrete Space-Time
• Enhanced transport of spin-orbit coupled Bose gases in disordered potentials
• Quantum Algorithms for Inverse Participation Ratio Estimation in multi-qubit and multi-qudit systems
• Friedel oscillation in non-Fermi liquid: Lesson from exactly solvable Hatsugai-Kohmoto model
• Level statistics of the one-dimensional ionic Hubbard model
• Slow dynamics of a mobile impurity interacting with an Anderson insulator
• Stable many-body localization under random continuous measurements in the no-click limit
• Quantum computing Floquet energy spectra
• Mobility Edge in the Anderson model on partially disordered random regular graphs
• Incoherent quantum algorithm dynamics of an open system with near-term devices
• Classical physics and blackbody radiation
• Quantum Chaos in the Extended Dicke Model
• Nonstabilizerness dynamics in many-body localized systems
• Genuine quantum scars in many-body spin systems
• Highly entangled stationary states from strong symmetries
• Dynamical Freezing in Exactly Solvable Models of Driven Chaotic Quantum Dots
• A Dyson Brownian motion model for weak measurements in chaotic quantum systems
• Operator dynamics in Floquet many-body systems
• Quantum jumps in driven-dissipative disordered many-body systems
• Scaling and Universality at Ramped Quench Dynamical Quantum Phase Transition
• Controlling the interactions in a cold atom quantum impurity system
• Sample-efficient estimation of entanglement entropy through supervised learning
• Anatomy of the fragmented Hilbert space: eigenvalue tunneling, quantum scars and localization in the perturbed random regular graph
• Exact Entanglement in the Driven Quantum Symmetric Simple Exclusion Process
• Local Hilbert space fragmentation and weak thermalization in Bose-Hubbard diamond necklaces
• The frustration-free fully packed loop model
• Inhomogeneous disordering at a photo-induced charge density wave transition
• Nonequilibrium DMFT+CPA for Correlated Disordered Systems
• Statistics of Green's functions on a disordered Cayley tree and the validity of forward scattering approximation
• Dynamical mean-field theory of the Anderson-Hubbard model with local and non-local disorder in tensor formulation
• Benchmarking a novel efficient numerical method for localized 1D Fermi-Hubbard systems on a quantum simulator
• Disorder enhanced quantum many-body scars in Hilbert crystals
• Many-body localization in one dimensional optical lattice with speckle disorder
• Entanglement Entropy of Fermions from Wigner Functions: Excited States and Open Quantum Systems
• Many-body localization with synthetic gauge fields in disordered Hubbard chains
• Charge and spin-specific local integrals of motion in a disordered Hubbard model
• Destruction of Localization by Thermal Inclusions: Anomalous Transport and Griffiths Effects in the Anderson and André-Aubry-Harper Models
• Investigating Berezinskii-Kosterlitz-Thouless phase transitions in Kagome spin ice by quantifying Monte Carlo process: Distribution of Hamming distances
• Stability of scar states in 2D PXP model against random disorders
• Free-fermion Page Curve: Canonical Typicality and Dynamical Emergence
• Hidden self-duality and exact mobility edges in quasiperiodic network models
• Localization of a mobile impurity interacting with an Anderson insulator
• Neural networks in quantum many-body physics: a hands-on tutorial
• Quantum information spreading in random spin chains with topological order
• Spatio-temporal heterogeneity of entanglement in many-body localized systems
• Many-body Localization in Clean Chains with Long-Range Interactions
• Quantum simulation using noisy unitary circuits and measurements
• Compact localised states in magnonic Lieb lattices
• Mesoscopic transport signatures of disorder-induced non-Hermitian phases
• Localization spectrum of a bath-coupled generalized Aubry-André model in the presence of interactions
• Eigenvector Correlations Across the Localisation Transition in non-Hermitian Power-Law Banded Random Matrices
• Quantum many-body Jarzynski equality and dissipative noise on a digital quantum computer
• Observational entropic study of Anderson localization
• The GOE ensemble for quasiperiodic tilings without unfolding: $r$-value statistics
• Kibble-Zurek scaling in one-dimensional localization transitions
• Absence of localization in interacting spin chains with a discrete symmetry
• Weak ergodicity breaking in Josephson-junction arrays
• Stark localization near Aubry-André criticality
• Multifractality of many-body non-Hermitian skin effect
• Nonstabilizerness of a Boundary Time Crystal
• Renyi Entropy of Interacting Thermal Bosons in Large $N$ Approximation
• Momentum space entanglement of interacting fermions
• Fate of localization in coupled free chain and disordered chain
• Quantum coherence controls the nature of equilibration in coupled chaotic systems
• Quench Spectroscopy of a Disordered Quantum System
• Local Operator Entanglement in Spin Chains
• Sensitivity of the spectral form factor to short-range level statistics
• The Rosenzweig Porter model revisited for the three Wigner Dyson symmetry classes
• Dynamical mean-field approach to disordered interacting systems and applications to quantum transport problem
• Quantum supremacy and quantum phase transitions
• Inverted many-body mobility edge in a central qudit problem
• Quantum information spreading in random spin chains
• Experimentally probing Landauer's principle in the quantum many-body regime
• Signatures of many-body localization of quasiparticles in a flat band superconductor
• Many-Body Localization: Transitions in Spin Models
• Disordered Lieb-Robinson bounds in one dimension
• Hilbert space fragmentation at the origin of disorder-free localization in the lattice Schwinger model
• Symmetry Violation of Quantum Multifractality: Gaussian fluctuations versus Algebraic Localization
• Holographic unitary renormalization group for correlated electrons -- II: insights on fermionic criticality
• Permutation symmetry in large N Matrix Quantum Mechanics and Partition Algebras
• Thermalization in different phases of charged SYK model
• Breaking the chains: extreme value statistics and localization in random spin chains
• Infinite randomness with continuously varying critical exponents in the random XYZ spin chain
• Quantum geometric tensor away from Equilibrium
• Absence of localization in two-dimensional Clifford circuits
• On intermediate statistics across many-body localization transition
• Criticality and Rigidity of Dissipative Discrete Time Crystals in Solids
• Deep thermalization in Gaussian continuous-variable quantum systems
• Prethermal memory loss in interacting quantum systems coupled to thermal baths
• Bounding Entanglement Entropy Using Zeros of Local Correlation Matrices
• Bath induced phase transition in a Luttinger liquid
• Unscrambling of single-particle wave functions in systems localized through disorder and monitoring
• Parallel Quantum Algorithm for Hamiltonian Simulation
• Initial State Dependent Dynamics Across Many-body Localization Transition
• Anderson localization of walking droplets
• Universal equilibration dynamics of the Sachdev-Ye-Kitaev model
• A stabilization mechanism for many-body localization in two dimensions
• Probing Hilbert Space Fragmentation with Strongly Interacting Rydberg Atoms
• Atomic excitation delocalization at the clean to disordered interface in a chirally-coupled atomic array
• Ergodic inclusions in many body localized systems
• Path integral framework for characterizing and controlling decoherence induced by non-stationary environments on a quantum probe
• Emergence of highly coherent quantum subsystems of a noisy and dense spin system
• Many-body-localization induced protection of symmetry-protected topological order in a XXZ spin model
• Quantum generative model for sampling many-body spectral functions
• Localization transition induced by programmable disorder
• Topological order versus many-body localization in periodically modulated spin chains
• Exact Hidden Markovian Dynamics in Quantum Circuits
• Long-range hopping in a quasiperiodic potential weakens the non-Hermitian skin effect
• Statistics of systemwide correlations in the random-field XXZ chain: Importance of rare events in the many-body localized phase
• Dirty bosons on the Cayley tree: Bose-Einstein condensation versus ergodicity breaking
• Two transitions in complex eigenvalue statistics: Hermiticity and integrability breaking
• Long-range multipartite quantum correlations and factorization in a one-dimensional spin-1/2 $XY$ chain
• Many-body localization in continuum systems: two-dimensional bosons
• Observation of anisotropy-independent magnetization dynamics in spatially disordered Heisenberg spin systems
• Many-Body Localization from Dynamical Gauge Fields
• Quantum many-body scars in spin-1 Kitaev chain with uniaxial single-ion anisotropy
• The ergodic and non-ergodic phases in one dimensional clean Jaynes-Cummings-Hubbard system
• Pair localization in dipolar systems with tunable positional disorder
• Experimental tests of Lieb-Robinson bounds
• Subsystem Information Capacity in Random Circuits and Hamiltonian Dynamics
• Classical route to ergodicity and scarring in collective quantum systems
• Glassy dynamics of the one-dimensional Mott insulator excited by a strong terahertz pulse
• The fastest generation of multipartite entanglement with natural interactions
• Coherent spin-phonon scattering in facilitated Rydberg lattices
• Escaping many-body localization in an exact eigenstate
• Instability of localization in translation-invariant systems
• Quantum kinetics of quenched two-dimensional Bose superfluids
• An analysis of localization transitions using non-parametric unsupervised learning
• Plasmono-Atomic Interactions on a Fiber Tip
• Gaussian-state Ansatz for the non-equilibrium dynamics of quantum spin lattices
• Gumbel statistics for entanglement spectra of many-body localized eigenstates
• Solvable entanglement dynamics in quantum circuits with generalized space-time duality
• Observation of slow relaxation due to Hilbert space fragmentation in strongly interacting Bose-Hubbard chains
• Slow thermalization and subdiffusion in $U(1)$ conserving Floquet random circuits
• Fermionic Magic Resources of Quantum Many-Body Systems
• Information Scrambling and the Correspondence of Entanglement- and Operator Dynamics in Systems with Nonlocal Interactions
• Many body localization transition with correlated disorder
• Strongly disordered Anderson insulator chains with generic two-body interaction
• Stark-Many body localization in interacting infinite dimensional systems
• Thermalization propagation front and robustness against avalanches in localized systems
• Many-body localization proximity effect in two-species bosonic Hubbard model
• Quantum reservoir computing on random regular graphs
• Anderson localization of composite particles
• Anderson Molecules
• Electron-Phonon Decoupling in Two Dimensions
• Photon-mediated dipole-dipole interactions as a resource for quantum science and technology in cold atoms
• Theory of Irreversibility in Quantum Many-Body Systems
• Quasiparticle Picture for Entanglement Hamiltonians in Higher Dimensions
• Fuzzy measurements and coarse graining in quantum many-body systems
• Interacting Local Topological Markers: A one-particle density matrix approach for characterizing the topology of interacting and disordered states
• Experimental realization of a 3D long-range random hopping model
• Decay of long-lived oscillations after quantum quenches in gapped interacting quantum systems
• Sensing with discrete time crystals
• Many-body entanglement and topology from uncertainties and measurement-induced modes
• Information spreading and scrambling in disorder-free multiple-spin interacting models
• Experimental signatures of Hilbert-space ergodicity: Universal bitstring distributions and applications in noise learning
• Efficient Classical Shadow Tomography through Many-body Localization Dynamics
• Enhanced many-body localization in a kinetically constrained model
• Perturbative instability of non-ergodic phases in non-Abelian quantum chains
• Excited-Eigenstate Entanglement Properties of XX Spin Chains with Random Long-Range Interactions
• Transport and localization properties of excitations in one-dimensional lattices with diagonal disordered mosaic modulations
• Floquet Engineering of Hilbert Space Fragmentation in Stark Lattices
• Disorder-controlled relaxation in a 3D Hubbard model quantum simulator
• Slow propagation of information on the random XXZ quantum spin chain
• The connection between Hilbert-space return probability and real-space autocorrelations in quantum spin chains
• Harnessing symmetry-protected topological order for quantum memories
• Thermalization of long range Ising model in different dynamical regimes: a full counting statistics approach
• Many-body localization crossover is sharper in quasiperiodic spin chains
• Local integrals of motion and the stability of many-body localisation in Wannier-Stark potentials
• Absolutely stable time crystals at finite temperature
• Resilient infinite randomness criticality for a disordered chain of interacting Majorana fermions
• Diagnosing Quantum Phases Using Long-Range Two-Site Quantum Resource Behaviors
• Localization and integrability breaking in weakly interacting Floquet circuits
• Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential
• Atomic excitation trapping in dissimilar chirally-coupled atomic arrays
• Quantum supremacy in driven quantum many-body systems
• Dissipative dynamics of an impurity with spin-orbit coupling
• Reentrant localization transition induced by a composite potential
• Interaction-enhanced many body localization in a generalized Aubry-Andre model
• Interaction induced moiré systems in twisted bilayer optical lattices
• Universal relations for spin-orbit-coupled Fermi gases in two and three dimensions
• Universal hard-edge statistics of non-Hermitian random matrices
• Lifetimes of local excitations in disordered dipolar quantum systems
• Measuring out quasi-local integrals of motion from entanglement
• Discrete time-crystals in unbounded potentials
• Non-thermal eigenstates and slow relaxation in quantum Fredkin spin chains
• Nonequilibrium steady states of Bose-Einstein condensates with a local particle loss in double potential barriers
• Ground-state energy distribution of disordered many-body quantum systems
• Many-body quantum boomerang effect
• Crossover from a delocalized to localized atomic excitation in an atom-waveguide interface
• Quantum criticality of generalized Aubry-André models with exact mobility edges using fidelity susceptibility
• Scale Invariant Entanglement Negativity at the Many-Body Localization Transition
• Measuring energy by measuring any other observable
• Neural network enhanced hybrid quantum many-body dynamical distributions
• Quantum Chaos in Random Ising Networks
• Phenomenology of many-body localization in bond-disordered spin chains
• Understanding the dynamics of randomly positioned dipolar spin ensembles
• Unraveling long-time quantum dynamics using flow equations
• Non-thermal dynamics in a spin-1/2 lattice Schwinger model
• Exactly solvable subspaces of non-integrable spin chains with boundaries and quasiparticle interactions
• Emergent multifractality in power-law decaying eigenstates
• Robustness and eventual slow decay of bound states of interacting microwave photons in the Google Quantum AI experiment
• Renormalization group for Anderson localization on high-dimensional lattices
• Observation of ergodicity breaking and quantum many-body scars in spinor gases
• Trapped-atom Otto engine with light-induced dipole-dipole interactions
• Investigating finite-size effects in random matrices by counting resonances
• Modifying cooperative decay via disorder in atom arrays
• Steady off-diagonal long-range order state in a half-filled dimerized Hubbard chain induced by a resonant pulsed field
• Unveiling Eigenstate Thermalization for Non-Hermitian systems
• Symmetric quantum states: a review of recent progress
• Quantum walk on a graph of spins: magnetism and entanglement
• Open-system spin transport and operator weight dissipation in spin chains
• Finite-size prethermalization at the chaos-to-integrable crossover
• Dynamics of Negativity of a Wannier-Stark Many-Body Localized System Coupled to a Bath
• Time dependence of few-body Förster interactions among ultracold Rydberg atoms
• Signature of Many-Body Localization of Phonons in Strongly Disordered Superlattices
• Dynamical mean-field theory for Rényi entanglement entropy and mutual Information in Hubbard Model
• Streamlined Krylov construction and classification of ergodic Floquet systems
• Hayden-Preskill Recovery in Hamiltonian Systems
• Towards absolutely stable ergodicity breaking in two and three dimensions
• Stability of quasicrystalline ultracold fermions to dipolar interactions
• Light driven magnetic transitions in transition metal dichalcogenide heterobilayers
• Finite-size subthermal regime in disordered SU(N)-symmetric Heisenberg chains
• Disorder-Induced Strongly Correlated Photons in Waveguide QED
• Navigating the noise-depth tradeoff in adiabatic quantum circuits
• Nonmesonic Quantum Many-Body Scars in a 1D Lattice Gauge Theory
• Probing Hilbert space fragmentation and the block inverse participation ratio
• Nonlocality of Deep Thermalization
• Non-equilibrium evolution of Bose-Einstein condensate deformation in temporally controlled weak disorder
• Effects of auto-correlated disorder on the dynamics in the vicinity of the many-body localization transition
• Probing chaos in the spherical p-spin glass model
• Noncommuting charges can remove non-stationary quantum many-body dynamics
• Strongly interacting bosons in 1D disordered lattice: phase coherence of distorted Mott phases
• Hopf algebras and solvable unitary circuits
• Stochastic Sampling of Operator Growth Dynamics
• Spin-1/2 XXZ chain coupled to two Lindblad baths: Constructing nonequilibrium steady states from equilibrium correlation functions
• A Multi-Purpose Platform for Analog Quantum Simulation
• Superconducting Quantum Simulation for Many-Body Physics beyond Equilibrium
• Local integrals of motion in dipole-conserving models with Hilbert space fragmentation
• Duality between disordered nodal semimetals and systems with power-law hopping
• Many-body localization in a quantum gas with long-range interactions and linear external potential
• Real-time broadening of bath-induced density profiles from closed-system correlation functions
• Time-crystalline behavior in central-spin models with Heisenberg interactions
• From the Quantum Breakdown Model to the Lattice Gauge Theory
• Multifractality of correlated two-particle bound states in quasiperiodic chains
• Non-Hydrodynamic Initial Conditions are Not Soon Forgotten
• Tensor-network approach to thermalization in open quantum many-body systems
• Disorder-induced spin-charge separation in the 1-D Hubbard model
• Bounding the resources for thermalizing many-body localized systems
• Relaxation of dynamically prepared out-of-equilibrium initial states within and beyond linear response theory
• A strongly interacting, two-dimensional, dipolar spin ensemble in (111)-oriented diamond
• Entanglement entropy and localization in disordered quantum chains
• The Measurement-induced Transition in Long-range Interacting Quantum Circuits
• Universal Characterization of Quantum Many-Body States through Local Information
• Critical Properties of Weak Measurement Induced Phase Transitions in Random Quantum Circuits
• Entanglement Measures in a Nonequilibrium Steady State: Exact Results in One Dimension
• Single-particle excitations across the localization and many-body localization transition in quasi-periodic systems
• Cat states carrying long-range correlations in the many-body localized phase
• Many-body localization regime for cavity induced long-range interacting models
• Fate of Algebraic Many-Body Localization under driving
• Quantum memory at an eigenstate phase transition in a weakly chaotic model
• Scheme to Detect the Strong-to-weak Symmetry Breaking via Randomized Measurements
• Projected ensemble in a system with conserved charges with local support
• Renormalization-Group Analysis of the Many-Body Localization Transition in the Random-Field XXZ Chain
• Gauge-Symmetry Protection Using Single-Body Terms
• Quantum feedback induced entanglement relaxation and dynamical phase transition in monitored free fermion chains with Wannier-Stark ladder
• Anderson localization induced by structural disorder
• Re-entrant localization induced by short-range hopping in the fractal Rosenzweig-Porter Model
• Sensing multiatom networks in cavities via photon-induced excitation resonance
• Measurement-Induced Phase Transition in State Estimation of Chaotic Systems and the Directed Polymer
• Supervised and unsupervised learning of the many-body critical phase, phase transitions, and critical exponents in disordered quantum systems
• Time-dependent Neural Galerkin Method for Quantum Dynamics
• Dynamical phase transitions of information flow in random quantum circuits
• Mobility edge of two interacting particles in three-dimensional random potentials
• Stable interaction-induced Anderson-like localization embedded in standing waves
• On-Site Potential Creates Complexity in Systems with Disordered Coupling
• Entanglement transition through Hilbert-space localization
• Disorder-Free Localization as a Purely Classical Effect
• Dynamical emergence of a Kosterlitz-Thouless transition in a disordered Bose gas following a quench
• Real-time dynamics of 1D and 2D bosonic quantum matter deep in the many-body localized phase
• Vortex loop dynamics and dynamical quantum phase transitions in 3D fermion matter
• Synthetic U(1) Gauge Invariance in a Spin-1 Bose Gas
• Quantum many-body scars in the Bose-Hubbard model with a three-body constraint
• Entanglement Witnessing for Lattice Gauge Theories
• Prolonging a discrete time crystal by quantum-classical feedback
• On two non-ergodic reversible cellular automata, one classical, the other quantum
• Interplay of many-body interactions and quasiperiodic disorder in the all-band-flat diamond chain
• Many-body localization and delocalization dynamics in the thermodynamic limit
• Universal scaling near band-tuned metal-insulator phase transitions
• Swapping Floquet time crystal
• Non-Markovian character and irreversibility of real-time quantum many-body dynamics
• Symmetry classification of typical quantum entanglement
• Deformation of localized states and state transitions in systems of randomly hopping interacting fermions
• Quantum Fragmentation in the Extended Quantum Breakdown Model
• One-dimensional L{é}vy Quasicrystal
• Open-system eigenstate thermalization in a noninteracting integrable model
• Characterization of many-body mobility edges with random matrices
• Arresting Quantum Chaos Dynamically in Transmon Arrays
• Long-time memory effects in a localizable central spin problem
• Scaling and Universality at Noisy Quench Dynamical Quantum Phase Transitions
• Robust Hilbert space fragmentation in group-valued loop models
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Canonical density matrices from eigenstates of mixed systems
• Prethermalization by Random Multipolar Driving on a 78-Qubit Superconducting Processor
• Boundary-driven many-body phase transitions in a non-Hermitian disordered fermionic chain
• Exact spectral form factors of non-interacting fermions with Dyson statistics
• Characterizing The Many-Body Localization via Studying State Sensitivity to Boundary Conditions
• Stability and Dynamics of Many-Body Localized Systems Coupled to Small Bath
• Sensing Out-of-Equilibrium and Quantum Non-Gaussian environments via induced Time-Reversal Symmetry Breaking on the quantum-probe dynamics
• Long-ranged spectral correlations in eigenstate phases
• The role of interaction-induced tunneling in the dynamics of polar lattice bosons
• Two-body mobility edge in the Anderson-Hubbard model in three dimensions: Molecular versus scattering states
• Distinguishability Transitions in Non-Unitary Boson Sampling Dynamics
• Non-equilibrium dynamics of bosons with dipole symmetry: Large-$N$ Keldysh approach
• Localisation and Sub-Diffusive Transport in Quantum Spin Chains With Dilute Disorder
• Contour-time approach to the disordered Bose-Hubbard model in the strong coupling regime
• Finite steady-state current defies non-Hermitian many-body localization
• Controlling nonergodicity in quantum many-body systems by reinforcement learning
• Quantum Enhancement of Thermalization
• Boosting entanglement growth of many-body localization by superpositions of disorder
• Phase Crossover induced by Dynamical Many Body Localization in Periodically Driven Long-Range Spin Systems
• Imperfect Many-Body Localization in Exchange-Disordered Isotropic Spin Chains
• Dynamical quantum phase transitions from random matrix theory
• Quantum Many-Body Scars in Few-Body Dipole-Dipole Interactions
• Dynamical quantum phase transitions in Stark quantum spin chains
• Testing the validity of random-singlet state for long-range hopping models through the scaling of entanglement entropy
• Tracking locality in time evolution of disordered systems
• Subdiffusive spin transport in disordered classical Heisenberg chains
• Delocalization of interacting directed polymers on a periodic substrate: Localization length and critical exponents from non-Hermitian spectra
• Screening the Coulomb interaction leads to a prethermal regime in two-dimensional bad conductors
• Probing prethermal nonergodicity through measurement outcomes of monitored quantum dynamics
• Information scrambling and entanglement in quantum approximate optimization algorithm circuits
• Unified understanding of the breakdown of thermal mixing dynamic nuclear polarization: the role of temperature and radical concentration
• Quantum supremacy with analog quantum processors for material science and machine learning
• Area laws and thermalization from classical entropies in a Bose-Einstein condensate
• Experimental Entanglement Quantification for Unknown Quantum States in a Semi-Device-Independent Manner
• Opening Krylov space to access all-time dynamics via dynamical symmetries
• Non-unitarity maximizing unraveling of open quantum dynamics
• Tunneling Spectroscopy in Superconducting Circuit Lattices
• Controlling quantum many-body systems using reduced-order modelling
• Non-Markovianity of subsystem dynamics in isolated quantum many-body systems
• Prethermalization in the PXP Model under Continuous Quasiperiodic Driving
• Quantum trails and memory effects in the phase space of chaotic quantum systems
• Quantum logarithmic multifractality
• Scar-induced imbalance in staggered Rydberg ladders
• Absence of two-body delocalization transitions in the two-dimensional Anderson-Hubbard model
• Flat-band full localization and symmetry-protected topological phase on bilayer lattice systems
• Post quench entropy growth in a chiral clock model
• Entanglement transitions from restricted Boltzmann machines
• Renormalization view on resonance proliferation between many-body localized phases
• Quench dynamics in disordered two-dimensional Gross-Pitaevskii Lattices
• Typical thermalization of low-entanglement states
• A Solvable Model for Discrete Time Crystal Enforced by Nonsymmorphic Dynamical Symmetry
• Dynamical properties of the Haldane chain with bond disorder
• Stability of dipolar bosons in a quasiperiodic potential
• Nanoscale engineering and dynamical stabilization of mesoscopic spin textures
• Key Observable for Linear Thermalization
• Reviving product states in the disordered Heisenberg chain
• Modelling sample-to-sample fluctuations of the gap ratio in finite disordered spin chains
• Landau-Zener without a Qubit: Unveiling Multiphoton Interference, Synthetic Floquet Dimensions, and Dissipative Quantum Chaos
• Exact asymptotics of long-range quantum correlations in a nonequilibrium steady state
• Dynamics of quantum coherence in many-body localized systems
• Local spreading of stabilizer Rényi entropy in a brickwork random Clifford circuit
• Inhomogeneous Floquet thermalization
• Separation of the Kibble-Zurek Mechanism from Quantum Criticality
• Asymmetric Transport in Long-Range Interacting Chiral Spin Chains
• Disorder-free Sachdev-Ye-Kitaev models: Integrability and a precursor of chaos
• Adding boundary terms to Anderson localized Hamiltonians leads to unbounded growth of entanglement
• Extreme disorder in crystalline perovskite oxide: a new paradigm in quantum materials research
• Transport and integrability-breaking in non-Hermitian many-body quantum systems
• Extensive Long-Range Entanglement at Finite Temperatures from a Nonequilibrium Bias
• Lindblad dynamics from spatio-temporal correlation functions in nonintegrable spin-1/2 chains with different boundary conditions
• Anomalous Diffusion, Prethermalization, and Particle Binding in an Interacting Flat Band System
• Complexity Measure Diagnostics of Ergodic to Many-Body Localization Transition
• Antiferromagnetic order enhanced by local dissipation
• Entropy estimation in a spin-1 Bose-Einstein condensate
• Localization in the random XXZ quantum spin chain
• Two-dimensional quantum breakdown model with Krylov subspace many-body localization
• Suppressing chaos with mixed superconducting qubit devices
• Cold atoms meet lattice gauge theory
• Probing quantum phase transition via quantum speed limit
• Logarithmic growth of local entropy and total correlations in many-body localized dynamics
• Enhanced Lieb-Robinson bounds for commuting long-range interactions
• Plasmon localization and relaxation, and thermal transport in one-dimensional conductors
• Some speculations about local thermalization of nonequilibrium extended quantum systems
• Characterizing dynamical criticality of many-body localization transitions from the Fock-space perspective
• Simulation of open quantum systems on universal quantum computers
• Real Time Simulations of Quantum Spin Chains: Density-of-States and Reweighting approaches
• Quantum correlations of a two-qubit system and the Aubry-André chain in bosonic environments
• Quantum resources in Harrow-Hassidim-Lloyd algorithm
• Quench dynamics of two component dipolar fermions subject to a quasiperiodic potential
• Generic eigenstate preparation via measurement-based purification
• Self-Supervised Ensemble Learning: A Universal Method for Phase Transition Classification of Many-Body Systems
• Disorder effects in the ${\mathbb{Z}}_3$ Fock parafermion chain
• Entanglement dynamics and eigenstate correlations in strongly disordered quantum many-body systems
• Hilbert subspace ergodicity
• Entanglement growth and information capacity in a quasiperiodic system with a single-particle mobility edge
• Information Dynamics in a Model with Hilbert Space Fragmentation
• State-dependent mobility edge in kinetically constrained models
• Dynamical conductivity of disordered quantum chains
• One-Dimensional Disordered Bosonic Systems
• Engineering subharmonic responses beyond prethermalization via Floquet scar states
• Anomalous Quantum Information Scrambling for ${\mathbb{Z}}_3$ Parafermion Chains
• Inducing a transition between thermal and many-body localized states and detecting many-body mobility edges through dissipation
• Slow melting of a disordered quantum crystal
• Protecting Quantum Information via Many-Body Dynamical Localization
• Subsystem localization in a two-leg ladder system
• Logarithmic light cone, slow entanglement growth, and quantum memory
• Non-Hermitian Multipole Skin Effects Challenge Localization
• Importance Sampling Scheme for the Stochastic Simulation of Quantum Spin Dynamics
• Classical-quantum correspondence in the noise-based dissipative systems
• Many Body Density of States of a system of non interacting spinless fermions
• Universal properties of single particle excitations across the many-body localization transition
• Stable many-body resonances in open quantum systems
• Sunburst quantum Ising model under interaction quench: entanglement and role of initial state coherence
• Entanglement of electrons and the lattice in a Luttinger system
• mm-wave Rydberg-Rydberg resonances as a witness of intermolecular coupling in the arrested relaxation of a molecular ultracold plasma
• Suppression of Quantum Correlations in a Clean-Disordered Atom-Nanophotonic Interface
• Quantum thermalization must occur in translation-invariant systems at high temperature
• Many-Body Localization in Translational Invariant Diamond Ladders with Flat Bands
• Scaling theory of fading ergodicity
• Many-body localization in the infinite-interaction limit and the discontinuous eigenstate phase transition
• Measurement-induced phase transition in periodically driven free-fermionic systems
• Superfluid transition in disordered dipolar Fermi gases
• Scaling of many-body localization transitions: Quantum dynamics in Fock space and real space
• Two-body interaction induced phase transitions and intermediate phases in nonreciprocal non-Hermitian quasicrystals
• Random Quantum Circuits with Time-Reversal Symmetry
• Multibody expansion of the local integrals of motion: How many pairs of particle-hole do we really need to describe the quasiparticles in the many-body localized phase?
• Anomalous relaxation of density waves in a ring-exchange system
• Escaping Local Minima with Quantum Coherent Cooling
• Slowest and Fastest Information Scrambling in the Strongly Disordered XXZ Model
• Quantum scar affecting the motion of three interacting particles in a circular trap
• Symmetry- and energy-resolved entanglement dynamics in a disordered Bose-Hubbard model
• Non-Rayleigh signal of interacting quantum particles
• Superfluidity vs prethermalisation in a nonlinear Floquet system
• Localization detection based on quantum dynamics
• Elusive phase transition in the replica limit of monitored systems
• Building Entanglement Entropy out of Correlation Functions for Interacting Fermions
• Disorder-free localisation in continuous-time quantum walks : Role of symmetries
• Enhanced localization in the prethermal regime of continuously measured many-body localized systems
• Absorption to Fluctuating Bunching States in Non-Unitary Boson Dynamics
• Dynamics and Geometry of Entanglement in Many-Body Quantum Systems
• Memory effects in the density-wave imbalance in delocalized disordered systems
• Uncovering measurement-induced entanglement via directional adaptive dynamics and incomplete information
• Spectral chaos bounds from scaling theory of maximally efficient quantum-dynamical scrambling
• Scrambling in Ising spin systems with periodic transverse magnetic fields
• Entanglement Entropy of $(2+1)$D Quantum Critical Points with Quenched Disorder: Dimensional Reduction Approach
• Quantized and maximum entanglement from sublattice symmetry
• Characterizing the Many Body Localization Crossover as a Metal-Insulator Transition: Localization length from Polarization and Quantum Metric
• Quantum Darwinism-encoding transitions on expanding trees
• Many-body mobility edges in 1D and 2D revealed by convolutional neural networks
• Level spacing distribution of localized phases induced by quasiperiodic potentials
• Localization and slow-thermalization in a cluster spin model
• Quasi-Discrete Time Crystals in the quasiperiodically driven Lipkin-Meshkov-Glick model
• Hilbert Space Fragmentation and Subspace Scar Time-Crystallinity in Driven Homogeneous Central-Spin Models
• Kinetically constrained models constructed from dissipative quantum dynamics
• Entanglement of bosonic systems under monitored evolution
• Localization-enhanced dissipation in a generalized Aubry-André-Harper model coupled with Ohmic baths
• Proposal for realizing anomalous Floquet insulators via Chern band annihilation
• Prerelaxation in quantum, classical, and quantum-classical two-impurity models
• Spectral Multifractality and Emergent Energyscales Across the Many-Body Localisation Transition
• Disorder Enhanced Thermalization in Interacting Many-Particle System
• Probing thermalization in quenched (non-)integrable Fermi-Hubbard models
• From inverse-cascade to sub-diffusive dynamic scaling in driven disordered Bose fluids
• Influence functional of many-body systems: temporal entanglement and matrix-product state representation
• Engineering a multi-level bath for transmons with three-wave mixing and parametric drives
• Multipartite Greenberger-Horne-Zeilinger Entanglement in Monitored Random Clifford Circuits
• Multifractal statistics of non-Hermitian skin effect on the Cayley tree
• Identifying Entanglement Phases with Bipartite Projected Ensembles
• Sub-ballistic operator growth in spin chains with heavy-tailed random fields
• Dynamical signatures of symmetry protected topology following symmetry breaking
• Measurement-invisible quantum correlations in scrambling dynamics
• Dissipation enables robust extensive scaling of multipartite correlations
• Pseudochaotic Many-Body Dynamics as a Pseudorandom State Generator
• Scaling of diffusion constants in perturbed easy-axis Heisenberg spin chains
• Coexistence of ergodic and non-ergodic behavior and level spacing statistics in a one-dimensional model of a flat band superconductor
• Ergodic and non-ergodic many-body dynamics in strongly nonlinear lattices
• Thermalization of isolated quantum many-body system and the role of entanglement
• Onset of Quantum Chaos and Ergodicity in Spin Systems with Highly Degenerate Hilbert Spaces
• Nonlinear entanglement growth in inhomogeneous spacetimes
• Observation of a generalized Gibbs ensemble in photonics
• Power-law banded random matrix ensemble as a model for quantum many-body Hamiltonians
• Graph theory and tunable slow dynamics in quantum East Hamiltonians
• Strong zero modes from geometric chirality in quasi-one-dimensional Mott insulators
• Many-body critical phase in a quasiperiodic chain and dynamical Widom lines in Fock space properties
• Dissipation meets conformal interface in open quantum systems: How the relaxation rate is suppressed
• Thermal avalanches in isolated many-body localized systems
• Probing Hilbert space fragmentation using controlled dephasing
• Anomalous energy correlations and spectral form factor in the nonergodic phase of the $\beta$-ensemble
• Unconventional Thermalization of a Localized Chain Interacting with an Ergodic Bath
• Multifractality in high-dimensional graphs induced by correlated radial disorder
• Partial projected ensembles and spatiotemporal structure of information scrambling
• Unsupervised Detection of Topological Phase Transitions with a Quantum Reservoir
• Construction of Many-Body-Localized Models where all the eigenstates are Matrix-Product-States
• Discrete time crystals enhanced by Stark potentials in Rydberg atom arrays
• Logarithmic entanglement lightcone from eigenstate correlations in the many-body localised phase
• Revealing many-body effects on interband coherence through adiabatic charge pumping
• Anatomy of localisation protected quantum order on Hilbert space
• Hidden Anderson Localization in Disorder-Free Ising-Kondo Lattice
• Quench dynamics of quasi-periodic systems exhibiting Rabi oscillations of two-level integrals of motion
• Interacting Stark localization dynamics in a three-dimensional lattice Bose gas
• Real space thermalization of locally driven quantum magnets
• Lindblad quantum dynamics from correlation functions of classical spin chains
• Photonic Simulation of Localization Phenomena Using Boson Sampling
• Dynamics of antiferromagnetic Dimers in Rydberg Atom Chains
• Localization Transition for Interacting Quantum Particles in Colored-Noise Disorder
• Error mitigation of entangled states using brainbox quantum autoencoders
• Spatial correlations and entanglement in a hybrid system of N fermion pairs with harmonic interaction
• Symmetry Properties of Quantum Dynamical Entropy
• Disorder free many-body localization transition in two quasiperiodically coupled Heisenberg spin chains
• Discovery of energy landscapes towards optimized quantum transport: Environmental effects and long-range tunneling
• Low-frequency and Moiré Floquet engineering: a review
• Measurement-Induced Entanglement in Conformal Field Theory
• Sample complexity of matrix product states at finite temperature
• Krylov-space anatomy and spread complexity of a disordered quantum spin chain
• On the criticality of the configuration-space statistical geometry
• Stabilizer Rényi Entropy for Translation-Invariant Matrix Product States
• Universal efficiency boost in prethermal quantum heat engines at negative temperature
• The robustness condition for general disordered discrete time crystals, and subspace-thermal DTCs from phase transitions between different n-tuple DTCs
• Tensor Product Structure Geometry under Unitary Channels
• Few-body precursors of topological frustration
• Fluctuation driven transitions in localized insulators: Intermittent metallicity and path chaos precede delocalization
• Characterization of the chaotic phase in the tilted Bose-Hubbard model
• Universal Freezing Transitions of Dipole-Conserving Chains
• Few-Photon Fluorescence from Ultracold Bosons in an Optical Cavity
• Phase transition from localization to chaos in classical many-body system
• Quantum simulation of the microscopic to macroscopic crossover using superconducting quantum impurities
• Entanglement scaling behaviors of free fermions on hyperbolic lattices
• Random cubic graph embedded in a hypercube: Entanglement spectrum and many-body localization
• The Wishart--Rosenzweig--Porter random matrix ensemble
• Mitigating Errors in Analog Quantum Simulation by Hamiltonian Reshaping or Hamiltonian Rescaling
• Localization and Topology in Noncentrosymmetric Superconductors with Disorder
• Coherence-induced deep thermalization transition in random permutation quantum dynamics
• Structure and scaling of Kitaev chain across a quantum critical point in real space
• Classical periodic trajectories and quantum scars in many-spin systems
• Spectral anomalies and broken symmetries in maximally chaotic quantum maps
• Pseudoentanglement from tensor networks
• Long-range resonances in quasiperiodic many-body localization
• Delocalization in a partially disordered interacting many-body system
• Quench Dynamics of Thermal Bose Gases Across Wide and Narrow Feshbach
• Engineering many-body quantum Hamiltonians with non-ergodic properties using quantum Monte Carlo
• Localization-delocalization effects of a delocalizing dissipation on disordered XXZ spin chains
• Circular Rosenzweig-Porter random matrix ensemble
• Open-system dynamics in local Lindbladians with chaotic spectra
• Diagnostics of Hilbert space fragmentation, freezing transition, and its effects in the family of quantum East models involving varying range of constraints
• Dynamical control in a prethermalized molecular ultracold plasma: Local dissipation drives global relaxation
• Low-Temperature Transport Property of Spin-1/2 Random Heisenberg Chains
• Unsupervised detection of decoupled subspaces: many-body scars and beyond
• Sampling and the complexity of nature
• Exact analysis of AC sensors based on Floquet time crystals
• Entropy augmentation through subadditive excess: information theory in irreversible processes
• Energy dynamics in a class of local random matrix Hamiltonians
• DisQu: Investigating the Impact of Disorder in Quantum Generative Models
• Universal Aspects of High-Temperature Relaxation Dynamics in Random Spin Models
• Exploiting many-body localization for scalable variational quantum simulation
• From percolation transition to Anderson localization in one-dimensional speckle potentials
• Strong-disorder renormalization group approach to the Anderson model using Raleigh-Schrödinger perturbation theory
• Quantum local random networks and the statistical robustness of quantum scars
• Dynamic thermalization on noisy quantum hardware
• Critical behavior of the specific heat in Ti-Si amorphous alloys at the metal-insulator transition
• Fate of chiral order and impurity self-pinning in flat bands with local symmetry
• Ballistic Entanglement Cloud after a Boundary Quench
• Simulating dynamics of the two-dimensional transverse-field Ising model: a comparative study of large-scale classical numerics
• Studying viral populations with tools from quantum spin chains
• Stability of the discrete time-crystalline order in spin-optomechanical and open cavity QED systems
• Dynamical Phase Transitions, Caustics, and Quantum Dark Bands
• Dynamics and steady states of tight-binding chains in presence of isolated defects
• Statistics of noninteracting many-body fermionic states: The question of a many-body mobility edge
• Threefold Way for Typical Entanglement
• Build your own tensor network library: DMRjulia I. Basic library for the density matrix renormalization group
• Einstein relation for subdiffusive relaxation in Stark chains
• Quantum birthmarks: Ergodicity breaking beyond scarring
• Coexistence of Anderson Localization and Quantum Scarring in Two Dimensions
• Traveling/non-traveling phase transition and non-ergodic properties in the random transverse-field Ising model on the Cayley tree
• Anomaly, class division, and decoupling in income dynamics
• Universality in Non-Equilibrium Quantum Systems
• Probing Electron Localization and Delocalization in the Selective Long-Range Tight-Binding Model
• Estimating time in quantum chaotic systems and black holes
• Quantum Dynamical Signatures of Topological Flow Transitions in Limit Cycle Phases
• Robustness of near-thermal dynamics on digital quantum computers
• Probing the many-body localized spin-glass phase through quench dynamics
• Effect of Quantum Statistics on Computational Power of Atomic Quantum Annealers
• Quasiconservation Laws and Suppressed Transport in Weakly Interacting Localized Models
• Investigating Stark many-body localization with continuous unitary transformation flows
• Anderson localisation in spatially structured random graphs
• Nonperturbative decay of bipartite discrete time crystals
• Out-of-equilibrium dynamical properties of Bose-Einstein condensates in a ramped up weak disorder
• Information scrambling and entanglement dynamics in Floquet Time Crystals
• Experimental protocol for observing single quantum many-body scars with transmon qubits
• Vanishing of Drude weight in interacting fermions on Zd with quasi-periodic disorder
• Liouville Fock state lattices and potential simulators
• Solving the k-sparse Eigenvalue Problem with Reinforcement Learning
• Realization of Two-dimensional Discrete Time Crystals with Anisotropic Heisenberg Coupling
• Insulating-to-conducting state transition in the bilayer Hubbard model induced by a perpendicular quench field
• Inner structure of the many-body localization transition and the fulfillment of the Harris criterion
• Observation of Localization Using a Noisy Quantum Computer
• Divergence of thermalization rates driven by the competition between finite temperature and quantum coherence
• Entanglement Entropy of Free Fermions with a Random Matrix as a One-Body Hamiltonian
• A link between static and dynamical perturbation theory
• The Gauge Picture of Quantum Dynamics
• Non-Markovianity Benefits Quantum Dynamics Simulation
• Krylov complexity of many-body localization: Operator localization in Krylov basis
• Quantum-critical scaling at the Bose-glass transition of the 3d diluted Heisenberg antiferromagnet in a field
• Dynamics of Interacting Bosons on the Sawtooth Lattice with a Flat Band
• Momentum Signatures of Site Percolation in Disordered 2D Ferromagnets
• Relaxation mechanisms in a disordered system with the Poisson level statistics
• Localization with non-Hermitian off-diagonal disorder
• Searching for quantum non-thermodynamic phenomena
• Channel induced dynamics of quantum information in mixed state free QFTs
• Fate of Bosonic Topological Edge Modes in the Presence of Many-Body Interactions
• Quantum Multicritical Behavior for Coupled Optical Cavities with Driven Laser Fields
• Localization and melting of interfaces in the two-dimensional quantum Ising model
• Robust quantum many-body scars in lattice gauge theories
• Information Bounds on phase transitions in disordered systems
• Engineering entanglement geometry via spacetime-modulated measurements
• Ergodicity-breaking phase diagram and fractal dimensions in long-range models with generically correlated disorder
• Dissipative quantum dynamics, phase transitions and non-Hermitian random matrices
• Gaussian state approximation of quantum many-body scars
• Critical localization with Van der Waals interactions
• Heat percolation in many-body flatband localizing systems
• Persistent-current states originating from the Hilbert space fragmentation in momentum space
• Controlling discrete time crystals via single-site operations in zero-field diamond quantum simulators
• Numerical Study of Disordered Noninteracting Chains Coupled to a Local Lindblad Bath
• Anderson and many-body localization in the presence of spatially correlated classical noise
• Subsystem Thermalization Hypothesis in Quantum Spin Chains with Conserved Charges
• Probing non-Gaussian correlations through entanglement generation in a many-body quantum system
• Loss of ergodicity in a quantum hopping model of a dense many body system with repulsive interactions
• Entanglement entropy scaling laws from fluctuations of non-conserved quantities
• Intrinsic space-time crystalline order in a hybrid Josephson junction
• Expediting quantum state transfer through the long-range extended XY model
• Anomalous transport in U(1)-symmetric quantum circuits
• Exploring the properties of quantum scars in a toy model
• Quantum Avalanches in ${\mathbb{Z}}_2$-preserving Interacting Ising Majorana Chain
• Operator entanglement in $\mathrm{SU}(2)$-symmetric dissipative quantum many-body dynamics
• Thouless Energy Across Many-Body Localization Transition in Floquet Systems
• Localization Dynamics from Static and Mobile Impurities
• Nontrivial damping of magnetization currents in perturbed spin chains
• Locally controlled arrested thermalization
• Diagnosing chaos with projected ensembles of process tensors
• Universal fluctuations of localized two interacting particles in one dimension
• Resolving the Thermal Paradox: Many-body localization or fractionalization?
• Critical Dynamics of the Anderson Transition on Small-World Graphs
• Localization transitions in quadratic systems without quantum chaos
• Many Body Localization in 2D Systems with Quasi-Random fields in X and Y Directions
• Many-body localization in a slowly varying potential
• Long-range bipartite entanglement in XXZ spin chains with the exponential and power-law long-range interactions
• Nonergodic dynamics of the one-dimensional Bose-Hubbard model with a trapping potential
• Localization and "classical entanglement'' in the Discrete Non-Linear Schrödinger Equation
• Localization dynamics in a centrally coupled system
• Random singlet phase of cold atoms coupled to a photonic crystal waveguide
• Observation of strong and weak thermalization in a superconducting quantum processor
• Protecting Hilbert space fragmentation through quantum Zeno dynamics
• Surmise for random matrices' level spacing distributions beyond nearest-neighbors
• Distinct many-body scars and emergent quantum phases driven by competing interactions in two-species Rydberg arrays
• Finding periodic orbits in projected quantum many-body dynamics
• 2D Anderson Localization and KPZ sub-Universality Classes : sensitivity to boundary conditions and insensitivity to symmetry classes
• Two-body metal-insulator transitions in the Anderson-Hubbard model
• Rashba Spin-Orbit Coupling and Nonlocal Correlations in Disordered 2D Systems
• Emergent Thermalization Thresholds in Unitary Dynamics of Inhomogeneously Disordered Quantum Systems
• Density of states correlations in Lévy Rosenzweig-Porter model via supersymmetry approach
• Qudit-native measurement protocol for dynamical correlations using Hadamard tests
• Macroscopic theory of multipartite correlations in permutation-invariant open quantum systems
• Entanglement structure for finite system under dual-unitary dynamics
• Quantum fingerprints of self-organization in spin chains coupled to a Kuramoto model
• Roughening Transition in Quantum Circuits
• An Exactly Solvable Toy Model of Autocatalysis: Irreversible Relaxation after a Quantum Quench
• Quantum typicality approach to energy flow between two spin-chain domains at different temperatures
• Boundary-driven magnetization transport in the spin-$1/2$ XXZ chain: Role of the system-bath coupling strength and timescales
• Local density of states and scattering rates across the many-body localization transition
• Quantum many-body scarring from Kramers-Wannier duality
• Effective Hamiltonian approach to the exact dynamics of open system by complex discretization approximation for environment
• Statistics-encoded tensor network approach in disordered quantum many-body spin chains
• Quantum transitions, ergodicity, and quantum scars in the coupled top model
• Extended degenerate perturbation theory for the Floquet-Hilbert space
• Imaginary Time Spectral Transforms for Excited State Preparation
• Emergence of non-trivial phases in interacting non-Hermitian quasiperiodic chains with power-law hopping
• Generation of Volume-Law Entanglement by Local-Measurement-Only Quantum Dynamics
• Dynamical localization of interacting ultracold atoms in one-dimensional quasi-periodic potentials
• Anderson localization: a density matrix approach
• Trajectory-Resolved Weiss Fields for Quantum Spin Dynamics
• On the modeling of irreversibility by relaxator Liouville dynamics
• Quantum localization in incommensurate tight-binding chains
• From Bell Products to Greenberger-Horne-Zeilinger states: Quantum Memories via emergent Hamiltonians
• Entanglement Growth from Entangled States: A Unified Perspective on Entanglement Generation and Transport
• Fock space prethermalization and time-crystalline order on a quantum processor
• Quantum Complexity in Rule-Based Constrained Many-Body Models: Scars, Fragmentation, and Chaos
• Large deviations in the many-body localization transition: The case of the random-field XXZ chain
• Fock-space geometry and strong correlations in many-body localized systems
• Fractatomic Physics: An Invitation with Atomic Stability and Rydberg States in Fractal Spaces
• Entanglement Spectrum Resolved by Loop Symmetries
• Loop Charges and Fragmentation in Pairwise Difference Conserving Circuits
• From single-particle to many-body chaos in Yukawa--SYK: theory and a cavity-QED proposal
• On flat bands in the $J_1$-$J_2$-$J_3$ XXZ sawtooth chain
• Dephasing-induced Quantum Hall Criticality in the Quantum Anomalous Hall system
• Electric-field driven flat bands in the distorted sawtooth chain via the Katsura-Nagaosa-Balatsky mechanism
• Scaling Theory of Few-Particle Delocalization
• Coherently synchronized oscillations in many-body localization
• Rationally independent free fermions with local hopping
• From Bose glass to many-body localization in a one-dimensional disordered Bose gas
• Crystalline Spectral Form Factors
• Dynamical irreversibility and local decoherence in quantum many-body chaos
• Robustness and Independence of the Eigenstates with respect to the Boundary Conditions across a Delocalization-Localization Phase Transition
• Construction of asymptotic quantum many-body scar states in the SU($N$) Hubbard model
• Anderson Localization on Husimi Trees and its implications for Many-Body localization
• Operator delocalization in disordered spin chains via exact MPO marginals
• Edge States Effects in Quantum Work Statistics
• Vanishing correlations in stochastic and bistochastic controlled circuits
• Beyond the imbalance: site-resolved dynamics probing resonances in many-body localization
• Crossover from Quantum Chaos to a Reversed Quantum Disentangled Liquid in a Disorder-Free Spin Ladder
• Coexistence of topological Anderson insulator and multifractal critical phase in a non-Hermitian quasicrystal
• Controlled Zeno-Induced Localization of Free Fermions in a Quasiperiodic Chain
• Non-commutative Index of Measurement-only Entanglement Phase Transition
• Imprints of $U_A(1)$ chiral anomaly and disorder in the Dirac eigenspectrum of QCD at finite temperature
• Limitations of SVD-Based Diagnostics for Non-Hermitian Many-Body Localization with Time-Reversal Symmetry
• Families of localized modes of Bose-Einstein condensates enabled by incommensurate optical lattice and photon-atom interactions
• Limits of Clifford Disentangling in Tensor Network States
• Quantum entanglement in the t-J chain: From charge-spin separation to recombination
• Discrete time crystal order in spin chains enabled by Floquet flat bands
• Design Principles for Enhanced Quantum Transport with Site-Dependent Noise
• Peratic Phase Transition by Bulk-to-Surface Response
• Stabilization of Granovskii-Zhedanov scars of the XYZ quantum spin chain via non-Hermitian spin relaxation
• Identifying mobility edge from finite temperature spectral form factor
• Anomalous enhancement of thermal radiation transport by quasidisorder
• Non-Hermiticity induced thermal entanglement phase transition
• Dynamics of wavepackets and entanglement in many-body kicked rotors under quantum resonance
• Temperature and conditions for thermalization after canonical quenches