A phenomenology of certain many-body-localized systems

Abstract

We consider isolated quantum systems with all of their many-body eigenstates localized. We define a sense in which such systems are integrable, and discuss a method for finding their localized conserved quantum numbers ("constants of motion"). These localized operators are interacting pseudospins and are subject to dephasing but not to dissipation, so any quantum states of these pseudospins can in principle be recovered via (spin) echo procedures. We also discuss the spreading of entanglement in many-body localized systems, which is another aspect of the dephasing due to interactions between these localized conserved operators.

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• Single-particle localization in dynamical potentials
• Localization, multifractality, and many-body localization in periodically kicked quasiperiodic lattices
• Scaling properties of a spatial one-particle density-matrix entropy in many-body localized systems
• Transport in the non-ergodic extended phase of interacting quasiperiodic systems
• Quantum quenches in isolated quantum glasses out of equilibrium
• Complete many-body localization in the t-J model caused by random magnetic field
• Configuration-Controlled Many-Body Localization and the Mobility Emulsion
• A toy model for anomalous transport and Griffiths effects near the Many-Body Localization transition
• Quantum boomerang effect for interacting particles
• Many-Body-Localization Transition : sensitivity to twisted boundary conditions
• Multifractality and Fock-space localization in many-body localized states: one-particle density matrix perspective
• Exact projector Hamiltonian, local integrals of motion, and many-body localization with topological order
• Localization of Extended Quantum Objects
• Local integrals of motion in the two-site Anderson-Hubbard model
• Beyond many-body localized states in a spin-disordered Hubbard model with pseudo-spin symmetry
• Remanent magnetization: signature of Many-Body Localization in quantum antiferromagnets
• Quench dynamics of a weakly interacting disordered Bose gas in momentum space
• Relaxation at different length-scales in models of many-body localization
• Impact of geometry on many-body localization
• Symmetry Breaking Dynamics in Quantum Many-Body Systems
• Approximating observables on eigenstates of large many-body localized systems
• Many-body physics with ultracold plasmas: Quenched randomness and localization
• Bridging quantum many-body scar and quantum integrability in Ising chains with transverse and longitudinal fields
• Probability transport on the Fock space of a disordered quantum spin chain
• Nucleation of ergodicity by a single mobile impurity in supercooled insulators
• Many-body localization as a percolation phenomenon
• Eigenstate localization in a many-body quantum system
• The Fock-space landscape of many-body localisation
• Many body localization proximity effects in platforms of coupled spins and bosons
• Hilbert-space correlations beyond multifractality and bipartite entanglement in many-body localised systems
• Many-Body Mobility Edge in Quantum Sun models
• Many-body localization transition through pairwise correlations
• Ultraslow Growth of Number Entropy in an l-bit Model of Many-Body Localization
• Anomalous localization at the boundary of an interacting topological insulator
• Density-Matrix Renormalization Group study of Many-Body Localization in Floquet Eigenstates
• Ergodic and localized regions in quantum spin glasses on the Bethe lattice
• Classification of symmetry-protected topological phases in two-dimensional many body-localized systems
• Explicit construction of quasi-conserved local operator of translationally invariant non-integrable quantum spin chain in prethermalization
• A Quantum Breakdown Model: from Many-body Localization to Chaos with Scars
• Stable many-body localization under random continuous measurements in the no-click limit
• Classical and quantum systems: transport due to rare events
• Loschmidt echo singularities as dynamical signatures of strongly localized phases
• Entanglement dynamics in critical random quantum Ising chain with perturbations
• Strong Disorder Real-Space Renormalization for the Many-Body-Localized phase of random Majorana models
• Supersymmetric Many-Body Systems from Partial Symmetries: Integrability, Localization and Scrambling
• Dynamics of the one-dimensional Anderson insulator coupled to various bosonic baths
• Diffusion in the Anderson model in higher dimensions
• Disorder enhanced quantum many-body scars in Hilbert crystals
• Signatures of Many-Body Localization in the Dynamics of Two-Level Systems in Glasses
• Many-body localization in one dimensional optical lattice with speckle disorder
• Studying many-body localization in exchange-coupled electron spin qubits using spin-spin correlations
• Tower of quantum scars in a partially many-body localized system
• Charge and spin-specific local integrals of motion in a disordered Hubbard model
• Slow diffusion and Thouless localization criterion in modulated spin chains
• Tensor networks demonstrate the robustness of localization and symmetry protected topological phases
• Nonstabilizerness dynamics in many-body localized systems
• On the possibility of many-body localization in a doped Mott insulator
• Very slow heating for weakly driven quantum many-body systems
• Mott, Floquet, and the response of periodically driven Anderson insulators
• From Ansätze to Z-gates: a NASA View of Quantum Computing
• Sudden removal of a static force in a disordered system: Induced dynamics, thermalization, and transport
• Localization of a mobile impurity interacting with an Anderson insulator
• Spatio-temporal heterogeneity of entanglement in many-body localized systems
• Chaotic dynamics in a quantum Fermi-Pasta-Ulam problem
• Mobility edge of the two dimensional Bose-Hubbard model
• Disordered Lieb-Robinson bounds in one dimension
• Breaking the chains: extreme value statistics and localization in random spin chains
• Einstein relation for a driven disordered quantum chain in subdiffusive regime
• Hilbert space fragmentation at the origin of disorder-free localization in the lattice Schwinger model
• Comment on "Many-body localization in Ising models with random long-range interactions"
• Localization of Rung Pairs in Hard-core Bose-Hubbard Ladder
• Signatures of many-body localization of quasiparticles in a flat band superconductor
• Combating quasiparticle poisoning with multiple Majorana fermions in a periodically-driven quantum wire
• Ergodic inclusions in many body localized systems
• Quantum information spreading in random spin chains
• Many-body localized phase of bosonic dipoles in a tilted optical lattice
• On the quantum spin glass transition on the Bethe lattice
• Local Operator Entanglement in Spin Chains
• Dynamics and Asymptotics of Correlations in a Many-Body Localized System
• Inverted many-body mobility edge in a central qudit problem
• Quantum supremacy and quantum phase transitions
• Localization transition induced by programmable disorder
• Topological order versus many-body localization in periodically modulated spin chains
• Strongly correlated photon transport in nonlinear photonic lattice with disorder: Probing signatures of the localization transition
• Many-Body Localization from Dynamical Gauge Fields
• Random Transverse Field Spin-Glass Model on the Cayley tree : phase transition between the two Many-Body-Localized Phases
• Level repulsion exponent $\beta$ for Many-Body Localization Transitions and for Anderson Localization Transitions via Dyson Brownian Motion
• Strong Disorder Renormalization for the dynamics of Many-Body-Localized systems : iterative elimination of the fastest degree of freedom via the Floquet expansion
• Pair localization in dipolar systems with tunable positional disorder
• Statistics of systemwide correlations in the random-field XXZ chain: Importance of rare events in the many-body localized phase
• Tower of two-dimensional scar states in a localized system
• Quantum Thermalization and the Expansion of Atomic Clouds
• Instability of localization in translation-invariant systems
• Universal crossover from ground state to excited-state quantum criticality
• Emergence of highly coherent quantum subsystems of a noisy and dense spin system
• Gumbel statistics for entanglement spectra of many-body localized eigenstates
• Observation of slow relaxation due to Hilbert space fragmentation in strongly interacting Bose-Hubbard chains
• Response of a quantum disordered spin system to a local periodic drive
• Thermalization propagation front and robustness against avalanches in localized systems
• Step Heat Profile in Localized Chains
• Many-body localization crossover is sharper in quasiperiodic spin chains
• Structural properties of local integrals of motion across the many-body localization transition via a fast and efficient method for their construction
• Exact many-body scars based on pairs or multimers in a chain of spinless fermions
• Perturbative instability of non-ergodic phases in non-Abelian quantum chains
• Local integrals of motion and the stability of many-body localisation in Wannier-Stark potentials
• Entanglement and spectra in topological many-body localized phases
• The connection between Hilbert-space return probability and real-space autocorrelations in quantum spin chains
• Anderson Molecules
• Krylov complexity in quantum many-body scars of spin-1 models
• Dynamics of pattern-loaded fermions in bichromatic optical lattices
• Bound state and Localization of excitation in many-body open systems
• Harnessing symmetry-protected topological order for quantum memories
• Floquet Engineering of Hilbert Space Fragmentation in Stark Lattices
• Energy dependence of localization with interactions and disorder: The generalized inverse participation ratio of an ensemble of two-site Anderson-Hubbard systems
• Interaction-Induced Characteristic Length in Strongly Many-Body Localized Systems
• Extensive entropy from unitary evolution
• Efficient Classical Shadow Tomography through Many-body Localization Dynamics
• Resistivity and its fluctuations in disordered many-body systems: from chains to planes
• Non-equilibrium Dynamics of Renyi Entropy for Bosonic Many-Particle Systems
• Many body localization transition with correlated disorder
• Ergodicity breaking and Localization of the Nicolai supersymmetric fermion lattice model
• Constrained thermalisation and topological superconductivity
• Phenomenology of many-body localization in bond-disordered 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
• Many-Body-Localization : Strong Disorder perturbative approach for the Local Integrals of Motion
• Slow propagation in some disordered quantum spin chains
• Quantum Coherence in Ergodic and Many-Body Localized Systems
• Non-thermal dynamics in a spin-1/2 lattice Schwinger model
• Finite-size prethermalization at the chaos-to-integrable crossover
• Schwinger boson mean field perspective on emergent spins in diluted Heisenberg antiferromagnets
• Scale Invariant Entanglement Negativity at the Many-Body Localization Transition
• Localization in the Discrete Non-Linear Schrödinger Equation and geometric properties of the microcanonical surface
• Dynamics of Negativity of a Wannier-Stark Many-Body Localized System Coupled to a Bath
• Investigating finite-size effects in random matrices by counting resonances
• Critical quench dynamics of random quantum spin chains: Ultra-slow relaxation from initial order and delayed ordering from initial disorder
• Localization and integrability breaking in weakly interacting Floquet circuits
• Experimentally accessible witnesses of many-body localisation
• Clean two-dimensional Floquet time-crystal
• Conserved Quantities from Entanglement Hamiltonian
• Quantum Adiabatic Doping with Incommensurate Optical Lattices
• Statistics of orthogonality catastrophe events in localised disordered lattices
• Space-time generalization of mutual information
• Lattice Hamiltonians and Stray Interactions Within Quantum Processors
• Finite-size subthermal regime in disordered SU(N)-symmetric Heisenberg chains
• Nonmesonic Quantum Many-Body Scars in a 1D Lattice Gauge Theory
• Localization of fermions in coupled chains with identical disorder
• Fate of Algebraic Many-Body Localization under driving
• The Ergodicity Landscape of Quantum Theories
• Single spin probe of Many-Body Localization
• Localization due to interaction-enhanced disorder in bosonic systems
• Cat states carrying long-range correlations in the many-body localized phase
• Semiclassical bounds on dynamics of two-dimensional interacting disordered fermions
• Entanglement Measures in a Nonequilibrium Steady State: Exact Results in One Dimension
• Interaction-Induced Weakening of Localization in Few-Particle Disordered Heisenberg Chains
• Disorder-induced spin-charge separation in the 1-D Hubbard model
• Bounding the resources for thermalizing many-body localized systems
• Topologically ordered time crystals
• Construction of Many-Body Eigenstates with Displacement Transformations
• 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
• Out-of-equilibrium dynamics of repulsive Fermi gases in quasi-periodic potentials: a Density Functional Theory study
• Hamiltonian Dynamics of a Sum of Interacting Random Matrices
• Long-time memory effects in a localizable central spin problem
• Many-body localization and delocalization dynamics in the thermodynamic limit
• Edge mode locality in perturbed symmetry protected topological order
• Identifying quantum many-body integrability and chaos using eigenstates trace distances
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Even and odd normalized zero modes in random interacting Majorana models respecting the Parity $P$ and the Time-Reversal-Symmetry $T$
• Dynamical potentials for non-equilibrium quantum many-body phases
• Emergent statistical bubble localization in a Z2 lattice gauge theory
• Probing localization properties of many-body Hamiltonians via an imaginary vector potential
• Deformation of localized states and state transitions in systems of randomly hopping interacting fermions
• Real-time dynamics of 1D and 2D bosonic quantum matter deep in the many-body localized phase
• Fast scrambling dynamics and many-body localization transition in an all-to-all disordered quantum spin model
• Operator Growth in Disordered Spin Chains: Indications for the Absence of Many-Body Localization
• Controlling quantum many-body systems using reduced-order modelling
• Perturbative Analysis of Quasi-periodic Patterning of Transmon Quantum Computers: Enhancement of Many-Body Localization
• Tracking locality in time evolution of disordered systems
• Opening Krylov space to access all-time dynamics via dynamical symmetries
• Correlations generated from high-temperature states: nonequilibrium dynamics in the Fermi-Hubbard model
• Quantum Inverse Freezing and Mirror-Glass Order
• Stability and Dynamics of Many-Body Localized Systems Coupled to Small Bath
• Persistent Ballistic Entanglement Spreading with Optimal Control in Quantum Spin Chains
• Reviving product states in the disordered Heisenberg chain
• Atypical energy eigenstates in the Hubbard chain and quantum disentangled liquids
• Renormalization view on resonance proliferation between many-body localized phases
• Scar-induced imbalance in staggered Rydberg ladders
• Quantum Many-Body Scars in Few-Body Dipole-Dipole Interactions
• Localisation and Sub-Diffusive Transport in Quantum Spin Chains With Dilute Disorder
• Quantum Brownian motion in a quasiperiodic potential
• Coupled Layer Construction for Synthetic Hall Effects in Driven Systems
• Topology and many-body localization
• Many-body localization with mobility edges
• Boosting entanglement growth of many-body localization by superpositions of disorder
• Contour-time approach to the disordered Bose-Hubbard model in the strong coupling regime
• Systematic construction of asymptotic quantum many-body scar states and their relation to supersymmetric quantum mechanics
• Topological Phases of Many-Body Localized Systems: Beyond Eigenstate Order
• Finite-size scaling analysis of localization transitions in the disordered two-dimensional Bose-Hubbard model within the fluctuation operator expansion method
• Weak ergodicity breaking transition in randomly constrained model
• Localized Fock Space Cages in Kinetically Constrained Models
• Finding local integrals of motion in quantum lattice models in the thermodynamic limit
• Efficient simulation of many-body localized systems
• Slow melting of a disordered quantum crystal
• Many-Body Localization Transition, Temporal Fluctuations of the Loschmidt Echo, and Scrambling
• Entanglement dynamics and eigenstate correlations in strongly disordered quantum many-body systems
• Quantum Circuits Reproduce Experimental Two-dimensional Many-body Localization Transition Point
• Detecting Many-Body-Localization Length with Cold Atoms
• Many-body localization in the infinite-interaction limit and the discontinuous eigenstate phase transition
• Finite size scaling for the Many-Body-Localization Transition : finite-size-pseudo-critical points of individual eigenstates
• Quench dynamics of two component dipolar fermions subject to a quasiperiodic potential
• Robustness of the Floquet many-body localized phase in the presence of a smooth and a non-smooth drive
• Disordered Haldane-Shastry model
• Interacting quasiperiodic spin chains in the prethermal regime
• Slow relaxation and sensitivity to disorder in trapped lattice fermions after a quench
• Adding boundary terms to Anderson localized Hamiltonians leads to unbounded growth of entanglement
• Logarithmic growth of local entropy and total correlations in many-body localized dynamics
• Information Dynamics in a Model with Hilbert Space Fragmentation
• Protecting coherence from the environment via Stark many-body localization in a Quantum-Dot Simulator
• Characterizing dynamical criticality of many-body localization transitions from the Fock-space perspective
• Non-Hermitian Multipole Skin Effects Challenge Localization
• Quantum correlations of a two-qubit system and the Aubry-André chain in bosonic environments
• Logarithmic light cone, slow entanglement growth, and quantum memory
• Sub-ballistic operator growth in spin chains with heavy-tailed random fields
• Construction of Many-Body-Localized Models where all the eigenstates are Matrix-Product-States
• Anatomy of localisation protected quantum order on Hilbert space
• Spin and energy diffusion vs. subdiffusion in disordered spin chains
• 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?
• Identifying Entanglement Phases with Bipartite Projected Ensembles
• Slowest and Fastest Information Scrambling in the Strongly Disordered XXZ Model
• Unconventional Thermalization of a Localized Chain Interacting with an Ergodic Bath
• Quench dynamics of quasi-periodic systems exhibiting Rabi oscillations of two-level integrals of motion
• Symmetry- and energy-resolved entanglement dynamics in a disordered Bose-Hubbard model
• Thermal avalanches in isolated many-body localized systems
• Localization detection based on quantum dynamics
• Nonlinear entanglement growth in inhomogeneous spacetimes
• Moiré Superradiance in Cavity Quantum Electrodynamics with Quantum Atom Gas
• Transition to chaos in extended systems and their quantum impurity models
• Localization Lifetime of a Many-Body System with Periodic Constructed Disorder
• Characterizing the Many Body Localization Crossover as a Metal-Insulator Transition: Localization length from Polarization and Quantum Metric
• Localization and slow-thermalization in a cluster spin model
• Partial projected ensembles and spatiotemporal structure of information scrambling
• Logarithmic entanglement lightcone from eigenstate correlations in the many-body localised phase
• Universality in Non-Equilibrium Quantum Systems
• Disorder free many-body localization transition in two quasiperiodically coupled Heisenberg spin chains
• Information scrambling and entanglement dynamics in Floquet Time Crystals
• Traveling/non-traveling phase transition and non-ergodic properties in the random transverse-field Ising model on the Cayley tree
• Disorder-Free Localization and Fragmentation in a Non-Abelian Lattice Gauge Theory
• Quasiconservation Laws and Suppressed Transport in Weakly Interacting Localized Models
• Anomalies of global symmetries on the lattice
• 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
• Characterizing the parent Hamiltonian for a complete set of orthogonal wave functions: An inverse quantum problem
• Circular Rosenzweig-Porter random matrix ensemble
• Theoretical study on thermalization in isolated quantum systems
• Thouless Energy Across Many-Body Localization Transition in Floquet Systems
• Probing the randomness of ergodic states: extreme-value statistics in the ergodic and many-body-localized phases
• Robustness and Independence of the Eigenstates with respect to the Boundary Conditions across a Delocalization-Localization Phase Transition
• Persistence of energy-dependent localization in the Anderson-Hubbard model with increasing system size and doping
• Localization and melting of interfaces in the two-dimensional quantum Ising model
• Nonergodic dynamics of the one-dimensional Bose-Hubbard model with a trapping potential
• Limitations of SVD-Based Diagnostics for Non-Hermitian Many-Body Localization with Time-Reversal Symmetry
• Beyond the imbalance: site-resolved dynamics probing resonances in many-body localization
• Operator delocalization in disordered spin chains via exact MPO marginals
• Anderson Localization on Husimi Trees and its implications for Many-Body localization
• Unified theory of local integrals of motion
• From Bose glass to many-body localization in a one-dimensional disordered Bose gas
• Large deviations in the many-body localization transition: The case of the random-field XXZ chain
• Entanglement Growth from Entangled States: A Unified Perspective on Entanglement Generation and Transport
• Quantum Markov chain Monte Carlo method with programmable quantum simulators
• Emergent Thermalization Thresholds in Unitary Dynamics of Inhomogeneously Disordered Quantum Systems
• Fock-space geometry and strong correlations in many-body localized systems
• Many-body localization and particle multioccupancy in the disordered Bose-Hubbard model
• Many-body localization in a slowly varying potential
• Diagnosing chaos with projected ensembles of process tensors
• Quantum Avalanches in ${\mathbb{Z}}_2$-preserving Interacting Ising Majorana Chain
• Controlling discrete time crystals via single-site operations in zero-field diamond quantum simulators
• Numerical Study of Disordered Noninteracting Chains Coupled to a Local Lindblad Bath
• Many-body spectral transitions through the lens of the variable-range SYK2 model
• Krylov complexity of many-body localization: Operator localization in Krylov basis
• Two-dimensional many-body localized systems coupled to a heat bath
• Observation of Localization Using a Noisy Quantum Computer
• Generalized Gibbs Ensemble from Eigenstate Entanglement Hamiltonian
• Global and short-range entanglement properties in excited, many-body localized spin chains
• Scrambling dynamics across a thermalization-localization quantum phase transition
• AC Conductivity Crossover in Localized Superconductors