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