Many-body localization: an introduction and selected topics

Abstract

What happens in an isolated quantum system when both disorder and interactions are present? Over the recent years, the picture of a non-thermalizing phase of matter, the many-localized phase, has emerged as a stable solution. We present a basic introduction to the topic of many-body localization, using the simple example of a quantum spin chain which allows us to illustrate several of the properties of this phase. We then briefly review the current experimental research efforts probing this physics. The largest part of this review is a selection of more specialized questions, some of which are currently under active investigation. We conclude by summarizing the connections between many-body localization and quantum simulations.

Review article. 28 pages, 8 figures, Comptes Rendus Physique (2018)

References in corpus (68)

• Thermalization and its mechanism for generic isolated quantum systems
• Many body localization and thermalization in quantum statistical mechanics
• Anderson Transitions
• Localization of interacting fermions at high temperature
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Many-body localization edge in the random-field Heisenberg chain
• Many body localization in Heisenberg XXZ magnet in a random field
• Phenomenology of fully many-body-localized systems
• Toward the first quantum simulation with quantum speedup
• Breakdown of thermalization in finite one-dimensional systems
• Integrals of motion in the Many-Body localized phase
• Many-Body Localization in a Quasiperiodic System
• Anomalous diffusion and Griffiths effects near the many-body localization transition
• Entanglement spectrum in one-dimensional systems
• Recent progress in many-body localization
• Absence of diffusion in an interacting system of spinless fermions on a one-dimensional disordered lattice
• Exploring the Single-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice
• Constructing local integrals of motion in the many-body localized phase
• Signatures of Many-Body Localization in a Controlled Open Quantum System
• Ergodicity breaking in a model showing many-body localization
• Anomalous thermalization in ergodic systems
• How a small quantum bath can thermalize long localized chains
• Quantum quenches in the many-body localized phase
• Interferometric probes of many-body localization
• Many-body mobility edge in a mean-field quantum spin glass
• Measurement of many-body chaos using a quantum clock
• Non-ergodic phases in strongly disordered random regular graphs
• Dynamics in many-body localized quantum systems without disorder
• Fractality of wave functions on a Cayley tree: Difference between a tree and a locally tree-like graph without boundary
• Quantum dynamics of thermalizing systems
• Many-Body Delocalization in Strongly Disordered System with Long-Range Interactions: Finite Size Scaling
• Characterizing Many-Body Localization by Out-of-Time-Ordered Correlation
• Quantum revivals and many-body localization
• Many-body localization due to random interactions
• Quantum Mutual Information as a Probe for Many-Body Localization
• Quantum criticality of hot random spin chains
• Extended nonergodic states in disordered many-body quantum systems
• Many body localization with long range interactions
• Purification and many-body localization in cold atomic gases
• Delocalized Glassy Dynamics and Many Body Localization
• Many-body localization in infinite chains
• Scenario for delocalization in translation invariant systems
• Absence of full many-body localization in the disordered Hubbard chain
• Critical properties of the Anderson localization transition and the high dimensional limit
• Transport properties across the many-body localization transition in quasiperiodic and random systems
• Universal Logarithmic Scrambling in Many Body Localization
• Signatures of many-body localisation in the dynamics of two-sites entanglement
• Spectral tensor networks for many-body localization
• Quantum quenches and many-body localization in the thermodynamic limit
• How does a locally constrained quantum system localize?
• Difference between level statistics, ergodicity and localization transitions on the Bethe lattice
• Many-Body Localization in System with a Completely Delocalized Single-Particle Spectrum
• Protection of topological order by symmetry and many-body localization
• Interferometric Approach to Probing Fast Scrambling
• Dynamics of quantum information in many-body localized systems
• Multifractal states in self-consistent theory of localization: analytical solution
• Exploring one particle orbitals in large Many-Body Localized systems
• Statistics of renormalized on-site energies and renormalized hoppings for Anderson localization models in dimensions d=2 and d=3
• Eigenstate phases with finite on-site non-Abelian symmetry
• Certain General Constraints on the Many-Body Localization Transition
• Many-Body Localization of Symmetry Protected Topological States
• Many-Body-Localization Transition : sensitivity to twisted boundary conditions
• Complete many-body localization in the t-J model caused by random magnetic field
• Energy delocalization in strongly disordered systems induced by the long-range many-body interaction
• Out-of-time-ordered measurements as a probe of quantum dynamics
• Perturbation theory approaches to Anderson and Many-Body Localization: some lecture notes
• Random Transverse Field Spin-Glass Model on the Cayley tree : phase transition between the two Many-Body-Localized Phases
• A microscopically motivated renormalization scheme for the MBL/ETH transition

Cited by in corpus (477)

• Machine learning and the physical sciences
• Avalanches and many-body resonances in many-body localized systems
• Multifractal Scalings across the Many-Body Localization Transition
• Thouless time analysis of Anderson and many-body localization transitions
• Quantum thermal machines and batteries
• Many-body localized quantum batteries
• Nonthermal states arising from confinement in one and two dimensions
• Observation of Stark many-body localization without disorder
• Challenges to observation of many-body localization
• Polynomially filtered exact diagonalization approach to many-body localization
• Kinetically constrained freezing transition in a dipole-conserving system
• Analytically solvable renormalization group for the many-body localization transition
• Many-Body Localization in the Age of Classical Computing
• Probing quantum information propagation with out-of-time-ordered correlators
• Observation of energy resolved many-body localization
• Real Time Dynamics and Confinement in the ${\mathbb{Z}}_n$ Schwinger-Weyl lattice model for 1+1 QED
• Signatures of rare states and thermalization in a theory with confinement
• Ultra-stable charging of fast-scrambling SYK quantum batteries
• Shift-invert diagonalization of large many-body localizing spin chains
• Rare thermal bubbles at the many-body localization transition from the Fock space point of view
• From Anderson localization on Random Regular Graphs to Many-Body localization
• Spacetime duality between localization transitions and measurement-induced transitions
• Koopman-von Neumann Approach to Quantum Simulation of Nonlinear Classical Dynamics
• Quantum Many-Body Scar States in Two-Dimensional Rydberg Atom Arrays
• Influence matrix approach to many-body Floquet dynamics
• Strong Disorder RG approach - a short review of recent developments
• Confinement and lack of thermalization after quenches in the bosonic Schwinger model
• Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments
• Multifractal dimensions for random matrices, chaotic quantum maps, and many-body systems
• Gauging classical and quantum integrability through out-of-time ordered correlators
• Coherent and dissipative dynamics at quantum phase transitions
• Exact localized and ballistic eigenstates in disordered chaotic spin ladders and the Fermi-Hubbard model
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• The Many-Body localization transition in the Hilbert space
• Long-lived interacting phases of matter protected by multiple time-translation symmetries in quasiperiodically-driven systems
• Signatures of bath-induced quantum avalanches in a many-body--localized system
• Is there slow particle transport in the MBL phase?
• Flat-band many-body localization and ergodicity breaking in the Creutz ladder
• Many-body delocalization dynamics in long Aubry-André quasiperiodic chains
• Non-Hermitian skin clusters from strong interactions
• Mean-field entanglement transitions in random tree tensor networks
• Eigenstate Thermalization, Random Matrix Theory and Behemoths
• Two critical localization lengths in the Anderson transition on random graphs
• Sub-diffusion in the Anderson model on random regular graph
• Probing symmetries of quantum many-body systems through gap ratio statistics
• Slow dynamics and strong finite-size effects in many-body localization with random and quasi-periodic potential
• Fock-space correlations and the origins of many-body localisation
• Slow Thermalization of Exact Quantum Many-Body Scar States Under Perturbations
• The Lévy-Rosenzweig-Porter random matrix ensemble
• Chain breaking and Kosterlitz-Thouless scaling at the many-body localization transition in the random field Heisenberg spin chain
• Many-body localization in waveguide QED
• Multifractality meets entanglement: relation for non-ergodic extended states
• Model of level statistics for disordered interacting quantum many-body systems
• Stark many-body localization: Evidence for Hilbert-space shattering
• Multifractality and its role in anomalous transport in the disordered XXZ spin-chain
• Probing many-body localization phase transition with superconducting circuits
• Slow many-body delocalization beyond one dimension
• Eigenstate correlations around many-body localization transition
• Many-body localization from a one-particle perspective in the disordered 1D Bose-Hubbard model
• Fraction of delocalized eigenstates in the long-range Aubry-André-Harper model
• Multiscale entanglement clusters at the many-body localization phase transition
• Bath-induced Zeno localization in driven many-body quantum systems
• Many-body localization in a quasiperiodic Fibonacci chain
• Solving efficiently the dynamics of many-body localized systems at strong disorder
• Many-body localization in a fragmented Hilbert space
• Many-body quantum thermal machines
• Avalanche induced co-existing localised and thermal regions in disordered chains
• Critical properties of the Anderson transition in random graphs: two-parameter scaling theory, Kosterlitz-Thouless type flow and many-body localization
• Emergent Replica Conformal Symmetry in Non-Hermitian SYK${}_2$ Chains
• Many-body localization of bosons in optical lattice: Dynamics in disorder-free potentials
• Apparent slow dynamics in the ergodic phase of a driven many-body localized system without extensive conserved quantities
• Contracting projected entangled pair states is average-case hard
• Experimental characterization of quantum many-body localization transition
• Percolation in Fock space as a proxy for many-body localisation
• Algebraic Many-Body Localization and its implications on information propagation
• Stability of many-body localization in Floquet systems
• Resonance-induced growth of number entropy in strongly disordered systems
• Fock-space anatomy of eigenstates across the many-body localisation transition
• Drawing Phase Diagrams of Random Quantum Systems by Deep Learning the Wave Functions
• Finite-Size scaling analysis of many-body localization transition in quasi-periodic spin chains
• Unusual wave-packet spreading and entanglement dynamics in non-Hermitian disordered many-body systems
• Non-ergodic delocalized phase with Poisson level statistics
• Observation of many-body Fock space dynamics in two dimensions
• Non-Hermitian Rosenzweig-Porter random-matrix ensemble: Obstruction to the fractal phase
• Transition to a many-body localized regime in a two-dimensional disordered quantum dimer model
• Universality in Anderson localization on random graphs with varying connectivity
• Emergent ergodicity at the transition between many-body localized phases
• Self-consistent theory of many-body localisation in a quantum spin chain with long-range interactions
• Anomalous dynamics in the ergodic side of the Many-Body Localization transition and the glassy phase of Directed Polymers in Random Media
• Complex Quantum Networks: a Topical Review
• Entanglement and Absorbing-State Transitions in Interactive Quantum Dynamics
• Localization in spin chains with facilitation constraints and disordered interactions
• Many-body localization in tilted and harmonic potentials
• Diffusive transport in a quasiperiodic Fibonacci chain: absence of many-body localization at small interactions
• Bath-induced decay of Stark many-body localization
• Universal algebraic growth of entanglement entropy in many-body localized systems with power-law interactions
• Strong ergodicity breaking due to local constraints in a quantum system
• Localisation on certain graphs with strongly correlated disorder
• Phenomenology of spectral functions in disordered spin chains at infinite temperature
• Neural network setups for a precise detection of the many-body localization transition: finite-size scaling and limitations
• Spectral Properties of Disordered Interacting Non-Hermitian Systems
• Enhancing disorder-free localization through dynamically emergent local symmetries
• Coexistence of localized and extended phases: Many-body localization in a harmonic trap
• Operator content of entanglement spectra after global quenches in the transverse field Ising chain
• Many-body localization transition in large quantum spin chains: The mobility edge
• Diagnosing non-Hermitian Many-Body Localization and Quantum Chaos via Singular Value Decomposition
• Constraints induced delocalization
• Spreading of Correlations and Entanglement in the Long-Range Transverse Ising Chain
• Correlations and dynamical quantum phase transitions in an interacting topological insulator
• Non-Hermitian skin effects on many-body localized and thermal phases
• Nonvanishing sub-gap photocurrent as a probe of lifetime effects
• Phase transition and chaos in charged SYK model
• Multifractality and self-averaging at the many-body localization transition
• Exploring one particle orbitals in large Many-Body Localized systems
• Equilibration time in many-body quantum systems
• Extended flat-bands, entanglement and topological properties in a Creutz ladder
• Statistics of correlation functions in the random Heisenberg chain
• Anomalous thermalization and transport in disordered interacting Floquet systems
• Probing many-body localization on a noisy quantum computer
• Simulation of quantum many-body dynamics with Tensor Processing Units: Floquet prethermalization
• Hilbert-space fragmentation, multifractality, and many-body localization
• A Neural-Network Variational Quantum Algorithm for Many-Body Dynamics
• Investigating many-body mobility edges in isolated quantum systems
• Many-body resonances in the avalanche instability of many-body localization
• Statistical Mechanics of Floquet Quantum Matter: Exact and Emergent Conservation Laws
• Many-body localization in large systems: Matrix-product-state approach
• Phenomenology of anomalous transport in disordered one-dimensional systems
• Many-body dynamical phase transition in quasi-periodic potential
• Topological Quantum Many-Body Scars in Quantum Dimer Models on the Kagome Lattice
• Critical behavior of the Anderson model on the Bethe lattice via a large-deviation approach
• Scaling of Fock-space propagator and multifractality across the many-body localization transition
• Study of counterintuitive transport properties in the Aubry-André-Harper model via entanglement entropy and persistent current
• Non-equilibrium steady state phases of the interacting Aubry-Andre-Harper model
• The internal clock of many-body delocalization
• Coexistence of localization and transport in many-body two-dimensional Aubry-André models
• Detecting delocalization-localization transitions from full density distributions
• Photonic Floquet time crystals
• Signatures of quantum chaos transition in short spin chains
• Discrete Time Crystal Phase as a Resource for Quantum Enhanced Sensing
• Drive-induced many-body localization and coherent destruction of Stark many-body localization
• Non-Abelian symmetries and disorder: a broad non-ergodic regime and anomalous thermalization
• Integrable spin chains with random interactions
• Quasi-Many-Body Localization of Interacting Fermions with Long-Range Couplings
• Symmetry restoration and quantum Mpemba effect in many-body localization systems
• Entanglement transitions as a probe of quasiparticles and quantum thermalization
• Holographic Quantum Scars
• Local Integrals of Motion in Quasiperiodic Many-Body Localized Systems
• Phase diagram of the quantum Ising model with long-range interactions on an infinite-cylinder triangular lattice
• Unraveling the Excitation Spectrum of Many-Body Systems from Quantum Quenches
• Many-body localization as a large family of localized ground states
• Interaction-Driven Instabilities in the Random-Field XXZ Chain
• Unitary long-time evolution with quantum renormalization groups and artificial neural networks
• Many-body localization in Bose-Hubbard model: evidence for the mobility edge
• Thouless Energy Challenges Thermalization on the Ergodic Side of the Many-Body Localization Transition
• Periodically driven Rydberg chains with staggered detuning
• Topological order in random interacting Ising-Majorana chains stabilized by many-body localization
• Out of equilibrium Phase Diagram of the Quantum Random Energy Model
• Arresting classical many-body chaos by kinetic constraints
• Mean field theory of failed thermalizing avalanches
• Entanglement Growth and Minimal Membranes in $(d+1)$ Random Unitary Circuits
• Entanglement Hamiltonian of Many-body Dynamics in Strongly-correlated Systems
• Local integrals of motion detection of localization-protected topological order
• Role of Fock-space correlations in many-body localization
• Hilbert space fragmentation and interaction-induced localization in the extended Fermi-Hubbard model
• Growth of genuine multipartite entanglement in random unitary circuits
• Mean-Field Approximate Optimization Algorithm
• Local Integrals of Motion for Topologically Ordered Many-Body Localized Systems
• Probing many-body localization in a disordered quantum dimer model on the honeycomb lattice
• Dynamics of Disordered Quantum Systems Using Flow Equations
• Diagnostics of nonergodic extended states and many body localization proximity effect through real-space and Fock-space excitations
• Operational Metric for Quantum Chaos and the Corresponding Spatiotemporal Entanglement Structure
• Localized dynamics following a quantum quench in a non-integrable system: An example on the sawtooth ladder
• Statics and Dynamics of non-Hermitian Many-Body Localization
• Entanglement and Confinement in Coupled Quantum Systems
• Detecting ergodic bubbles at the crossover to many-body localization using neural networks
• Slow Nonthermalizing Dynamics in a Quantum Spin Glass
• Catching thermal avalanches in the disordered XXZ model
• Many-body delocalization from embedded thermal inclusion
• Many-body localization and enhanced non-ergodic sub-diffusive regime in the presence of random long-range interactions
• Disorder-free localization with Stark gauge protection
• Scrambling and Many-Body Localization in the XXZ-Chain
• Restoring ergodicity in a strongly disordered interacting chain
• Power-law entanglement growth from typical product states
• Ergodicity-to-localization transition on random regular graphs with large connectivity and in many-body quantum dots
• From eigenstate to Hamiltonian: Prospects for ergodicity and localization
• Describing many-body localized systems in thermal environments
• Disorder-free localization in quantum walks
• Anomalous diffusion and localization in a positionally disordered quantum spin array
• Dephasing in strongly disordered interacting quantum wires
• Universal dynamics and non-thermal fixed points in quantum fluids far from equilibrium
• Polynomial filter diagonalization of large Floquet unitary operators
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Strong-Disorder Renormalization Group for Periodically Driven Systems
• Numerical linked cluster expansions for inhomogeneous systems
• Fully localized and partially delocalized states in the tails of Erdös-Rényi graphs in the critical regime
• Few-boson localization in a continuum with speckle disorder
• Distinguishing an Anderson Insulator from a Many-Body Localized phase through space-time snapshots with Neural Networks
• Scaling properties of a spatial one-particle density-matrix entropy in many-body localized systems
• Quantum boomerang effect for interacting particles
• Entanglement entropy and out-of-time-order correlator in the long-range Aubry-André-Harper model
• Breakdown of ergodicity in disordered U(1) lattice gauge theories
• A toy model for anomalous transport and Griffiths effects near the Many-Body Localization transition
• Flux mobility delocalization in the Kitaev spin ladder
• Multifractal phase in the weighted adjacency matrices of random Erdös-Rényi graphs
• Towards the real-time evolution of gauge-invariant ${\mathbb{Z}}_2$ and $U(1)$ quantum link models on NISQ Hardware with error-mitigation
• Phase transitions of the Dicke model: a unified perspective
• Spectral statistics of a minimal quantum glass model
• Lattice control of non-ergodicity in a polar lattice gas
• Entanglement Transitions in Unitary Circuit Games
• Scrambling and operator entanglement in local non-Hermitian quantum systems
• Quantum simulation: From basic principles to applications
• Multifractality and Fock-space localization in many-body localized states: one-particle density matrix perspective
• Replacing neural networks by optimal analytical predictors for the detection of phase transitions
• Approximating observables on eigenstates of large many-body localized systems
• Dynamics of Many-Body Delocalization in the Time-dependent Hartree-Fock Approximation
• Symmetry Breaking Dynamics in Quantum Many-Body Systems
• Quench dynamics of a weakly interacting disordered Bose gas in momentum space
• Universality classes of thermalization for mesoscopic Floquet systems
• Many-body physics with ultracold plasmas: Quenched randomness and localization
• Ergodicity breaking with long range cavity induced quasiperiodic interactions
• The Fock-space landscape of many-body localisation
• Many-Body Mobility Edge in Quantum Sun models
• Hilbert-space correlations beyond multifractality and bipartite entanglement in many-body localised systems
• Loschmidt echo singularities as dynamical signatures of strongly localized phases
• Critical Level Statistics at the Many-Body Localization Transition Region
• Feedback-stabilized dynamical steady states in the Bose-Hubbard model
• Classification of symmetry-protected topological phases in two-dimensional many body-localized systems
• Slow dynamics of a mobile impurity interacting with an Anderson insulator
• Glassy word problems: ultraslow relaxation, Hilbert space jamming, and computational complexity
• Information-Theoretic Memory Scaling in the Many-Body Localization Transition
• Transport, correlations, and chaos in a classical disordered anharmonic chain
• Quantum Algorithms for Inverse Participation Ratio Estimation in multi-qubit and multi-qudit systems
• Flow Equations for Disordered Floquet Systems
• Tensor networks demonstrate the robustness of localization and symmetry protected topological phases
• Nonstabilizerness dynamics in many-body localized systems
• Disorder enhanced quantum many-body scars in Hilbert crystals
• Genuine quantum scars in many-body spin systems
• Eigenstate thermalization scaling in approaching the classical limit
• Quantum jumps in driven-dissipative disordered many-body systems
• Anatomy of the fragmented Hilbert space: eigenvalue tunneling, quantum scars and localization in the perturbed random regular graph
• Many-body localization in one dimensional optical lattice with speckle disorder
• Mobility Edge in the Anderson model on partially disordered random regular graphs
• Dulmage-Mendelsohn percolation: Geometry of maximally-packed dimer models and topologically-protected zero modes on site-diluted bipartite lattices
• Freezing transition in particle-conserving East model
• Statistics of Green's functions on a disordered Cayley tree and the validity of forward scattering approximation
• Many-body localization with synthetic gauge fields in disordered Hubbard chains
• Eigenvector Correlations Across the Localisation Transition in non-Hermitian Power-Law Banded Random Matrices
• Absence of localization in interacting spin chains with a discrete symmetry
• Quantum information spreading in random spin chains with topological order
• Mesoscopic transport signatures of disorder-induced non-Hermitian phases
• Renyi Entropy of Interacting Thermal Bosons in Large $N$ Approximation
• ${\mathcal{L}}^2$ localization landscape for highly-excited states
• Assigning Temperatures to Eigenstates
• Destruction of Localization by Thermal Inclusions: Anomalous Transport and Griffiths Effects in the Anderson and André-Aubry-Harper Models
• Spatio-temporal heterogeneity of entanglement in many-body localized systems
• The Rosenzweig Porter model revisited for the three Wigner Dyson symmetry classes
• Prethermal memory loss in interacting quantum systems coupled to thermal baths
• Local Operator Entanglement in Spin Chains
• Fate of localization in coupled free chain and disordered chain
• Initial State Dependent Dynamics Across Many-body Localization Transition
• Quench Spectroscopy of a Disordered Quantum System
• Parallel Quantum Algorithm for Hamiltonian Simulation
• Thermalization in different phases of charged SYK model
• Bath induced phase transition in a Luttinger liquid
• Universal out-of-equilibrium dynamics of 1D critical quantum systems perturbed by noise coupled to energy
• A stabilization mechanism for many-body localization in two dimensions
• Hilbert space fragmentation at the origin of disorder-free localization in the lattice Schwinger model
• Ergodic inclusions in many body localized systems
• Symmetry Violation of Quantum Multifractality: Gaussian fluctuations versus Algebraic Localization
• Signatures of many-body localization of quasiparticles in a flat band superconductor
• Breaking the chains: extreme value statistics and localization in random spin chains
• From order to randomness: Onset and evolution of the random-singlet state in bond-disordered BaCu${}_2$(Si${}_{1-x}$Ge${}_x$)${}_2$O${}_7$ spin-chain compounds
• On intermediate statistics across many-body localization transition
• Probing Hilbert Space Fragmentation with Strongly Interacting Rydberg Atoms
• Localization transition induced by programmable disorder
• Approaching Thouless Energy and Griffiths Regime in Random Spin Systems By Singular Value Decomposition
• Statistics of systemwide correlations in the random-field XXZ chain: Importance of rare events in the many-body localized phase
• Multifractality in the interacting disordered Tavis-Cummings model
• Dirty bosons on the Cayley tree: Bose-Einstein condensation versus ergodicity breaking
• Observation of slow relaxation due to Hilbert space fragmentation in strongly interacting Bose-Hubbard chains
• Instability of localization in translation-invariant systems
• Slow thermalization and subdiffusion in $U(1)$ conserving Floquet random circuits
• Quantum kinetics of quenched two-dimensional Bose superfluids
• Many-body-localization induced protection of symmetry-protected topological order in a XXZ spin model
• Interacting Local Topological Markers: A one-particle density matrix approach for characterizing the topology of interacting and disordered states
• Resilient infinite randomness criticality for a disordered chain of interacting Majorana fermions
• The connection between Hilbert-space return probability and real-space autocorrelations in quantum spin chains
• Many-body-localization protection of eigenstate topological order in two dimensions
• Local integrals of motion and the stability of many-body localisation in Wannier-Stark potentials
• Efficient Classical Shadow Tomography through Many-body Localization Dynamics
• Slow propagation of information on the random XXZ quantum spin chain
• Stark-Many body localization in interacting infinite dimensional systems
• Power-Law Random Banded Matrix Ensemble as the Effective Model for Many-Body Localization Transition
• Thermalization propagation front and robustness against avalanches in localized systems
• Many-body localization crossover is sharper in quasiperiodic spin chains
• Fermionic Magic Resources of Quantum Many-Body Systems
• Memories of initial states and density imbalance in dynamics of interacting disordered systems
• Response of a quantum disordered spin system to a local periodic drive
• Many-body quantum boomerang effect
• Open-system spin transport and operator weight dissipation in spin chains
• Ground-state energy distribution of disordered many-body quantum systems
• Superradiance in dynamically modulated Tavis-Cumming model with spectral disorder
• Emergent multifractality in power-law decaying eigenstates
• Phenomenology of many-body localization in bond-disordered spin chains
• Exploring Bosonic and Fermionic Link Models on $(3+1)-$d tubes
• Modifying cooperative decay via disorder in atom arrays
• Measuring out quasi-local integrals of motion from entanglement
• Localization and integrability breaking in weakly interacting Floquet circuits
• Scaling of the Reduced Energy Spectrum of Random Matrix Ensemble
• Finite-size prethermalization at the chaos-to-integrable crossover
• Navigating the noise-depth tradeoff in adiabatic quantum circuits
• Fate of Algebraic Many-Body Localization under driving
• Schmidt gap in random spin chains
• Finite-size subthermal regime in disordered SU(N)-symmetric Heisenberg chains
• Random Matrix Model for Eigenvalue Statistics in Random Spin Systems
• Universal Characterization of Quantum Many-Body States through Local Information
• Cat states carrying long-range correlations in the many-body localized phase
• Single-particle excitations across the localization and many-body localization transition in quasi-periodic systems
• Many-body localization regime for cavity induced long-range interacting models
• Entanglement entropy and localization in disordered quantum chains
• Quantum Rényi entropy by optimal thermodynamic integration paths
• Effects of auto-correlated disorder on the dynamics in the vicinity of the many-body localization transition
• Many-body localization of 1D disordered impenetrable two-component fermions
• Disorder-induced spin-charge separation in the 1-D Hubbard model
• Many-body localization in Landau level subbands
• Probing Hilbert space fragmentation and the block inverse participation ratio
• Multifractality of correlated two-particle bound states in quasiperiodic chains
• Hayden-Preskill Recovery in Hamiltonian Systems
• Many-body localization in a quantum gas with long-range interactions and linear external potential
• Renormalization-Group Analysis of the Many-Body Localization Transition in the Random-Field XXZ Chain
• Quantum many-body scars in the Bose-Hubbard model with a three-body constraint
• Deformation of localized states and state transitions in systems of randomly hopping interacting fermions
• Many-body localized to ergodic transitions in a system with correlated disorder
• Boundary-driven many-body phase transitions in a non-Hermitian disordered fermionic chain
• Universal distributions of overlaps from generic dynamics in quantum many-body systems
• Long-time memory effects in a localizable central spin problem
• Characterizing The Many-Body Localization via Studying State Sensitivity to Boundary Conditions
• Disorder-Free Localization as a Purely Classical Effect
• Supervised and unsupervised learning of the many-body critical phase, phase transitions, and critical exponents in disordered quantum systems
• Scheme to Detect the Strong-to-weak Symmetry Breaking via Randomized Measurements
• Real-time dynamics of 1D and 2D bosonic quantum matter deep in the many-body localized phase
• Construction of Many-Body Eigenstates with Displacement Transformations
• Entanglement Witnessing for Lattice Gauge Theories
• Evaporative cooling and self-thermalization in an open system of interacting fermions
• Characterization of many-body mobility edges with random matrices
• Prethermalization in the PXP Model under Continuous Quasiperiodic Driving
• Stability and Dynamics of Many-Body Localized Systems Coupled to Small Bath
• Absence of two-body delocalization transitions in the two-dimensional Anderson-Hubbard model
• Two-body mobility edge in the Anderson-Hubbard model in three dimensions: Molecular versus scattering states
• Quantum logarithmic multifractality
• Topology and many-body localization
• Intensity pseudo-localized phase in the glassy random laser
• Random-matrix perspective on many-body entanglement with a finite localization length
• Localisation and Sub-Diffusive Transport in Quantum Spin Chains With Dilute Disorder
• Non-equilibrium dynamics of bosons with dipole symmetry: Large-$N$ Keldysh approach
• Tracking locality in time evolution of disordered systems
• Phase Crossover induced by Dynamical Many Body Localization in Periodically Driven Long-Range Spin Systems
• Dynamical thermalization of interacting fermionic atoms in a Sinai-oscillator trap
• Glassy dynamics in strongly anharmonic chains of oscillators
• Coarse-grained spectral projection (CGSP): a deep learning-assisted approach to quantum unitary dynamics
• Boosting entanglement growth of many-body localization by superpositions of disorder
• Simulating spin systems with Majorana networks
• Opening Krylov space to access all-time dynamics via dynamical symmetries
• Dynamical decoherence of a qubit coupled to a quantum dot or the SYK black hole
• The role of interaction-induced tunneling in the dynamics of polar lattice bosons
• Universal properties of single particle excitations across the many-body localization transition
• Inhomogeneous Floquet thermalization
• Adding boundary terms to Anderson localized Hamiltonians leads to unbounded growth of entanglement
• Many-Body Localization in Translational Invariant Diamond Ladders with Flat Bands
• Localization in the random XXZ quantum spin chain
• Logarithmic growth of local entropy and total correlations in many-body localized dynamics
• Scaling theory of fading ergodicity
• Disorder-free Sachdev-Ye-Kitaev models: Integrability and a precursor of chaos
• Sunburst quantum Ising model under interaction quench: entanglement and role of initial state coherence
• Quantum purification spectroscopy
• Anomalous Diffusion, Prethermalization, and Particle Binding in an Interacting Flat Band System
• Plasmon localization and relaxation, and thermal transport in one-dimensional conductors
• Stable many-body resonances in open quantum systems
• Localization and interactions in topological and non-topological bands in two dimensions
• Quench dynamics of two component dipolar fermions subject to a quasiperiodic potential
• Quantum correlations of a two-qubit system and the Aubry-André chain in bosonic environments
• Scaling of many-body localization transitions: Quantum dynamics in Fock space and real space
• The eigenstate distribution fluctuation from thermal to localized transitions
• Trends of information backflow in disordered spin chains
• Interaction induced Anderson transition in a kicked one dimensional Bose gas
• Entanglement dynamics and eigenstate correlations in strongly disordered quantum many-body systems
• Accessing eigenstate spin-glass order from reduced density matrices
• Simulation of open quantum systems on universal quantum computers
• Disorder Enhanced Thermalization in Interacting Many-Particle System
• From inverse-cascade to sub-diffusive dynamic scaling in driven disordered Bose fluids
• Multifractality and excited-state quantum phase transition in ferromagnetic spin-$1$ Bose-Einstein condensates
• Stochastic and long-distance level spacing statistics in many-body localization
• Multifractal statistics of non-Hermitian skin effect on the Cayley tree
• Many-body mobility edges in 1D and 2D revealed by convolutional neural networks
• Sub-ballistic operator growth in spin chains with heavy-tailed random fields
• Scrambling in Ising spin systems with periodic transverse magnetic fields
• Disordered impenetrable two-component fermions in one dimension
• Measurement-invisible quantum correlations in scrambling dynamics
• Coexistence of ergodic and non-ergodic behavior and level spacing statistics in a one-dimensional model of a flat band superconductor
• Entangled quantum cellular automata, physical complexity, and Goldilocks rules
• Strong zero modes from geometric chirality in quasi-one-dimensional Mott insulators
• Memory effects in the density-wave imbalance in delocalized disordered systems
• Time crystal embodies chimeralike state in periodically driven quantum spin system
• Localization detection based on quantum dynamics
• Many-body critical phase in a quasiperiodic chain and dynamical Widom lines in Fock space properties
• Numerical study of the temperature dependence of the NMR relaxation rate across the superfluid-Bose glass transition in one dimension
• Mobility edges and fractal states in quasiperiodic Gross-Pitaevskii chains
• Dynamical Triplet Unravelling: A quantum Monte Carlo algorithm for reversible dynamics
• Unconventional Thermalization of a Localized Chain Interacting with an Ergodic Bath
• Construction of Many-Body-Localized Models where all the eigenstates are Matrix-Product-States
• Quantum scar affecting the motion of three interacting particles in a circular trap
• Cooperative photon emission rates in random atomic clouds
• Logarithmic entanglement lightcone from eigenstate correlations in the many-body localised phase
• Anomalous relaxation of density waves in a ring-exchange system
• Anatomy of localisation protected quantum order on Hilbert space
• Interacting Stark localization dynamics in a three-dimensional lattice Bose gas
• Quench dynamics of quasi-periodic systems exhibiting Rabi oscillations of two-level integrals of motion
• Enhanced localization in the prethermal regime of continuously measured many-body localized systems
• Slowest and Fastest Information Scrambling in the Strongly Disordered XXZ Model
• Influence functional of many-body systems: temporal entanglement and matrix-product state representation
• Diagnostics of Hilbert space fragmentation, freezing transition, and its effects in the family of quantum East models involving varying range of constraints
• Shortcut to spin dynamics for quantum mixtures
• Random cubic graph embedded in a hypercube: Entanglement spectrum and many-body localization
• Engineering many-body quantum Hamiltonians with non-ergodic properties using quantum Monte Carlo
• Numerical and quantum simulation of a quantum disentangled liquid
• Symmetric tensor scars with tunable entanglement from volume to area law
• Anderson localisation in spatially structured random graphs
• Local insulator-to-superconductor transition in amorphous InO${}_x$ films modulated by e-beam irradiation
• Unsupervised detection of decoupled subspaces: many-body scars and beyond
• Spatiotemporal Quenches in Long-Range Hamiltonians
• Universality in Non-Equilibrium Quantum Systems
• Probing Electron Localization and Delocalization in the Selective Long-Range Tight-Binding Model
• Experimental protocol for observing single quantum many-body scars with transmon qubits
• Subsystem Evolution Speed as Indicator of Relaxation
• A polynomial time algorithm for studying physical observables in chaotic eigenstates
• Circular Rosenzweig-Porter random matrix ensemble
• Traveling/non-traveling phase transition and non-ergodic properties in the random transverse-field Ising model on the Cayley tree
• Long-range resonances in quasiperiodic many-body localization
• Delocalization in a partially disordered interacting many-body system
• Coherence-induced deep thermalization transition in random permutation quantum dynamics
• Krylov-space anatomy and spread complexity of a disordered quantum spin chain
• Einstein relation for subdiffusive relaxation in Stark chains
• The Wishart--Rosenzweig--Porter random matrix ensemble
• Onset of universality in the dynamical mixing of a pure state
• Neural Networks as Universal Probes of Many-Body Localization in Quantum Graphs
• Geometric fragmentation and anomalous thermalization in cubic dimer model
• Krylov complexity of many-body localization: Operator localization in Krylov basis
• 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
• Engineering Anderson Localization in Arbitrary Dimensions with Interacting Quasiperiodic Kicked Bosons
• Emergence of non-trivial phases in interacting non-Hermitian quasiperiodic chains with power-law hopping
• From Bell Products to Greenberger-Horne-Zeilinger states: Quantum Memories via emergent Hamiltonians
• Coherently synchronized oscillations in many-body localization
• From Bose glass to many-body localization in a one-dimensional disordered Bose gas
• Anderson Localization on Husimi Trees and its implications for Many-Body localization
• Imaginary Time Spectral Transforms for Excited State Preparation
• Quantum many-body scarring from Kramers-Wannier duality
• Efficient detection of localization transitions using predictability
• Thouless Energy Across Many-Body Localization Transition in Floquet Systems
• Protecting Hilbert space fragmentation through quantum Zeno dynamics
• Roughening Transition in Quantum Circuits
• 2D Anderson Localization and KPZ sub-Universality Classes : sensitivity to boundary conditions and insensitivity to symmetry classes
• Quantum-critical scaling at the Bose-glass transition of the 3d diluted Heisenberg antiferromagnet in a field
• Disorder in AdS${}_3$/CFT${}_2$
• Many-body localization in a tilted potential in two dimensions
• Information Bounds on phase transitions in disordered systems
• Robust quantum many-body scars in lattice gauge theories
• Localization Dynamics from Static and Mobile Impurities
• Many-body localization in a slowly varying potential
• Ergodicity-breaking phase diagram and fractal dimensions in long-range models with generically correlated disorder
• Many-body localization and the emergence of quantum darwinism
• Universal fluctuations of localized two interacting particles in one dimension
• Thermodynamic limit of the Pieces' Model V2
• Local density of states and scattering rates across the many-body localization transition
• Numerical Study of Disordered Noninteracting Chains Coupled to a Local Lindblad Bath
• Anomalous transport in U(1)-symmetric quantum circuits
• Fate of Bosonic Topological Edge Modes in the Presence of Many-Body Interactions