Many-body localization edge in the random-field Heisenberg chain

Abstract

We present a large scale exact diagonalization study of the one dimensional spin $1/2$ Heisenberg model in a random magnetic field. In order to access properties at varying energy densities across the entire spectrum for system sizes up to $L=22$ spins, we use a spectral transformation which can be applied in a massively parallel fashion. Our results allow for an energy-resolved interpretation of the many body localization transition including the existence of an extensive many-body mobility edge. The ergodic phase is well characterized by Gaussian orthogonal ensemble statistics, volume-law entanglement, and a full delocalization in the Hilbert space. Conversely, the localized regime displays Poisson statistics, area-law entanglement and non ergodicity in the Hilbert space where a true localization never occurs. We perform finite size scaling to extract the critical edge and exponent of the localization length divergence.

arXiv comment4+3 pages, 5+3 figures

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• Ergodicity-to-localization transition on random regular graphs with large connectivity and in many-body quantum dots
• Entanglement dynamics in the three-dimensional Anderson model
• Scaling properties of a spatial one-particle density-matrix entropy in many-body localized systems
• Few-boson localization in a continuum with speckle disorder
• Extracting Quantum Many-Body Scarred Eigenstates with Matrix Product States
• Many-body localization transition in a frustrated XY chain
• Distinguishing an Anderson Insulator from a Many-Body Localized phase through space-time snapshots with Neural Networks
• Particle fluctuations and the failure of simple effective models for many-body localized phases
• Many-body localization transition from flatband fine-tuning
• Polynomial filter diagonalization of large Floquet unitary operators
• Fingerprints of spin-orbital polarons and of their disorder in the photoemission spectra of doped Mott insulators with orbital degeneracy
• Non-interacting central site model: localization and logarithmic entanglement growth
• Fermi polaron in a one-dimensional quasi-periodic optical lattice: the simplest many-body localization challenge
• Local constants of motion imply information propagation
• Configuration-Controlled Many-Body Localization and the Mobility Emulsion
• Random matrix theory for quantum and classical metastability in local Liouvillians
• Breakdown of ergodicity in disordered U(1) lattice gauge theories
• Multifractal phase in the weighted adjacency matrices of random Erdös-Rényi graphs
• Nonequilibrium photonic transport and phase transition in an array of optical cavities
• Dynamics of the order-parameter statistics in the long-range Ising model
• Floquet-induced localization in long-range many-body systems
• Classical route to ergodicity and scarring phenomena in a two-component Bose-Josephson junction
• Quantum chaos in supersymmetric quantum mechanics: an exact diagonalization study
• Complete many-body localization in the t-J model caused by random magnetic field
• Long-range interacting Stark many-body probes with Super-Heisenberg precision
• Many-Body-Localization Transition : sensitivity to twisted boundary conditions
• $Q$-Laguerre spectral density and quantum chaos in the Wishart-Sachdev-Ye-Kitaev model
• Relaxation at different length-scales in models of many-body localization
• Total correlations of the diagonal ensemble as a generic indicator for ergodicity breaking in quantum systems
• Localization of Extended Quantum Objects
• Beyond many-body localized states in a spin-disordered Hubbard model with pseudo-spin symmetry
• Impact of geometry on many-body localization
• Remanent magnetization: signature of Many-Body Localization in quantum antiferromagnets
• Dynamics of Many-Body Delocalization in the Time-dependent Hartree-Fock Approximation
• Optimization schemes for unitary tensor-network circuit
• Analogue Quantum Simulation: A New Instrument for Scientific Understanding
• Multifractality and Fock-space localization in many-body localized states: one-particle density matrix perspective
• Chaos due to symmetry-breaking in deformed Poisson ensemble
• Approximating observables on eigenstates of large many-body localized systems
• Ergodicity breaking with long range cavity induced quasiperiodic interactions
• Discrete time crystal in the gradient field Heisenberg model
• Extremal statistics of entanglement eigenvalues can track the many-body localized to ergodic transition
• Dynamically induced many-body localization
• Late Time Quantum Chaos of pure states in the SYK model
• Hilbert-space correlations beyond multifractality and bipartite entanglement in many-body localised systems
• Many-body localization transition through pairwise correlations
• A characterization of quantum chaos by two-point correlation functions
• Many-Body Mobility Edge in Quantum Sun models
• The Fock-space landscape of many-body localisation
• Many-body localization and the area law in two dimensions
• Interplay of interaction and disorder in the steady state of an open quantum system
• Does a distinct quasi many-body localized phase exist? A numerical study of a translationally invariant system in the thermodynamic limit
• Many-body localization as a percolation phenomenon
• Global phase diagram of the one-dimensional Sachdev-Ye-Kitaev model at finite $N$
• Quantum information scrambling in the presence of weak and strong thermalization
• Probability transport on the Fock space of a disordered quantum spin chain
• Speedup of the Quantum Adiabatic Algorithm using Delocalization Catalysis
• Ergodic and localized regions in quantum spin glasses on the Bethe lattice
• Critical Level Statistics at the Many-Body Localization Transition Region
• Mobility edges through inverted quantum many-body scarring
• Density-Matrix Renormalization Group study of Many-Body Localization in Floquet Eigenstates
• Loschmidt echo singularities as dynamical signatures of strongly localized phases
• Classical and quantum systems: transport due to rare events
• Algorithmic Shadow Spectroscopy
• Information-Theoretic Memory Scaling in the Many-Body Localization Transition
• Perturbative instability towards delocalization at phase transitions between MBL phases
• Persistent homology analysis of a generalized Aubry-André-Harper model
• Many-body localization in the Fock space of natural orbitals
• Stable many-body localization under random continuous measurements in the no-click limit
• Classification of symmetry-protected topological phases in two-dimensional many body-localized systems
• Dynamics of the one-dimensional Anderson insulator coupled to various bosonic baths
• Signatures of Many-Body Localization in the Dynamics of Two-Level Systems in Glasses
• Many-body localization with synthetic gauge fields in disordered Hubbard chains
• Disorder enhanced quantum many-body scars in Hilbert crystals
• Diffusion in the Anderson model in higher dimensions
• Boundary driven Heisenberg-chain in the long-range interacting regime: Robustness against far from equilibrium effects
• Statistics of Green's functions on a disordered Cayley tree and the validity of forward scattering approximation
• Mobility Edge in the Anderson model on partially disordered random regular graphs
• Studying many-body localization in exchange-coupled electron spin qubits using spin-spin correlations
• Classification of symmetry-protected topological many-body localized phases in one dimension
• On the possibility of many-body localization in a doped Mott insulator
• Slow diffusion and Thouless localization criterion in modulated spin chains
• Nonstabilizerness dynamics in many-body localized systems
• Many-body localization in one dimensional optical lattice with speckle disorder
• Tensor networks demonstrate the robustness of localization and symmetry protected topological phases
• Robust non-ergodicity of ground state in the $\beta$ ensemble
• Multifractality of many-body non-Hermitian skin effect
• Spatio-temporal heterogeneity of entanglement in many-body localized systems
• Out-of-time-ordered measurements as a probe of quantum dynamics
• Noise-induced collective quantum state preservation in spin qubit arrays
• Identifying Correlation Clusters in Many-Body Localized Systems
• Localization of a mobile impurity interacting with an Anderson insulator
• Sudden removal of a static force in a disordered system: Induced dynamics, thermalization, and transport
• Fate of localization in coupled free chain and disordered chain
• Probing Hilbert Space Fragmentation with Strongly Interacting Rydberg Atoms
• Breaking the chains: extreme value statistics and localization in random spin chains
• Hilbert space fragmentation at the origin of disorder-free localization in the lattice Schwinger model
• Many-body localization of zero modes
• Initial State Dependent Dynamics Across Many-body Localization Transition
• Many-Body Localization: Transitions in Spin Models
• Local Operator Entanglement in Spin Chains
• On intermediate statistics across many-body localization transition
• Dynamics and Asymptotics of Correlations in a Many-Body Localized System
• A stabilization mechanism for many-body localization in two dimensions
• Einstein relation for a driven disordered quantum chain in subdiffusive regime
• Dynamical thermalization in Bose-Hubbard systems
• Many-body localized phase of bosonic dipoles in a tilted optical lattice
• Parallel Quantum Algorithm for Hamiltonian Simulation
• Large scale behavior of the energy spectra of the quantum random antiferromagnetic Ising chain with mixed transverse and longitudinal fields
• Reducing dynamical fluctuations and enforcing self-averaging by opening many-body quantum systems
• Spectral Crossovers and Universality in Quantum Spin-chains Coupled to Random Fields
• Inverted many-body mobility edge in a central qudit problem
• Unscrambling of single-particle wave functions in systems localized through disorder and monitoring
• On the quantum spin glass transition on the Bethe lattice
• Ergodic inclusions in many body localized systems
• Approaching Thouless Energy and Griffiths Regime in Random Spin Systems By Singular Value Decomposition
• Localization transition induced by programmable disorder
• Escaping many-body localization in an exact eigenstate
• Level repulsion exponent $\beta$ for Many-Body Localization Transitions and for Anderson Localization Transitions via Dyson Brownian Motion
• Topological order versus many-body localization in periodically modulated spin chains
• Random Transverse Field Spin-Glass Model on the Cayley tree : phase transition between the two Many-Body-Localized Phases
• Eigenstate properties of the disordered Bose-Hubbard chain
• Pair localization in dipolar systems with tunable positional disorder
• Many-Body Localization from Dynamical Gauge Fields
• Universal crossover from ground state to excited-state quantum criticality
• A greedy algorithm for computing eigenvalues of a symmetric matrix
• Strongly correlated photon transport in nonlinear photonic lattice with disorder: Probing signatures of the localization transition
• Multifractality in the interacting disordered Tavis-Cummings model
• Dirty bosons on the Cayley tree: Bose-Einstein condensation versus ergodicity breaking
• Boltzmann transport theory for many body localization
• Tower of two-dimensional scar states in a localized system
• Strong Disorder Renormalization for the dynamics of Many-Body-Localized systems : iterative elimination of the fastest degree of freedom via the Floquet expansion
• Statistics of systemwide correlations in the random-field XXZ chain: Importance of rare events in the many-body localized phase
• Classical route to ergodicity and scarring in collective quantum systems
• Gumbel statistics for entanglement spectra of many-body localized eigenstates
• Many-body-localization induced protection of symmetry-protected topological order in a XXZ spin model
• An Extension of ETH to Non-Equilibrium Steady States
• Local integrals of motion and the stability of many-body localisation in Wannier-Stark potentials
• Excited-Eigenstate Entanglement Properties of XX Spin Chains with Random Long-Range Interactions
• Non-equilibrium Dynamics of Renyi Entropy for Bosonic Many-Particle Systems
• Resistivity and its fluctuations in disordered many-body systems: from chains to planes
• Response of a quantum disordered spin system to a local periodic drive
• Pure and Random Quantum Ising Chain : Shannon and Renyi entropies of the ground state via real space renormalization
• Entanglement and spectra in topological many-body localized phases
• Decay of density waves in coupled one-dimensional many-body-localized systems
• Exact many-body scars based on pairs or multimers in a chain of spinless fermions
• Power-Law Random Banded Matrix Ensemble as the Effective Model for Many-Body Localization Transition
• Interaction-Induced Characteristic Length in Strongly Many-Body Localized Systems
• Many-body localization crossover is sharper in quasiperiodic spin chains
• Thermalization propagation front and robustness against avalanches in localized systems
• Strongly disordered Anderson insulator chains with generic two-body interaction
• Step Heat Profile in Localized Chains
• Many-body-localization protection of eigenstate topological order in two dimensions
• Thermalization of long range Ising model in different dynamical regimes: a full counting statistics approach
• Many body localization transition with correlated disorder
• Structural properties of local integrals of motion across the many-body localization transition via a fast and efficient method for their construction
• Constrained thermalisation and topological superconductivity
• Extreme many-body scarring in a quantum spin chain via weak dynamical constraints
• Robustness of Stark many-body localization in the $J_1$-$J_2$ Heisenberg model
• Many-body delocalization with random vector potentials
• Localization in the Discrete Non-Linear Schrödinger Equation and geometric properties of the microcanonical surface
• Measuring energy by measuring any other observable
• Measuring out quasi-local integrals of motion from entanglement
• Localization and integrability breaking in weakly interacting Floquet circuits
• Reentrant localization transition induced by a composite potential
• Localization in the constrained quantum annealing of graph coloring
• Emergent multifractality in power-law decaying eigenstates
• Scaling of the Reduced Energy Spectrum of Random Matrix Ensemble
• Scale Invariant Entanglement Negativity at the Many-Body Localization Transition
• Phenomenology of many-body localization in bond-disordered spin chains
• Quantum Coherence in Ergodic and Many-Body Localized Systems
• Many-Body-Localization : Strong Disorder perturbative approach for the Local Integrals of Motion
• Robustness and eventual slow decay of bound states of interacting microwave photons in the Google Quantum AI experiment
• Unraveling long-time quantum dynamics using flow equations
• Distributions of consecutive level spacings of Gaussian unitary ensemble and their ratio: ab initio derivation
• Random Matrix Model for Eigenvalue Statistics in Random Spin Systems
• Interaction-Induced Weakening of Localization in Few-Particle Disordered Heisenberg Chains
• Fate of Algebraic Many-Body Localization under driving
• Polaron in a non-abelian Aubry-André-Harper model with \textit{p}-wave superfluidity
• Probing Hilbert space fragmentation and the block inverse participation ratio
• Superconducting Quantum Simulation for Many-Body Physics beyond Equilibrium
• Cat states carrying long-range correlations in the many-body localized phase
• Localization of fermions in coupled chains with identical disorder
• Semiclassical bounds on dynamics of two-dimensional interacting disordered fermions
• Entanglement entropy and localization in disordered quantum chains
• TE-PAI: Exact Time Evolution by Sampling Random Circuits
• Many-body localization regime for cavity induced long-range interacting models
• Many-body localization in Landau level subbands
• Localization crossover and subdiffusive transport in a classical facilitated network model of a disordered, interacting quantum spin chain
• Localization due to interaction-enhanced disorder in bosonic systems
• Effects of auto-correlated disorder on the dynamics in the vicinity of the many-body localization transition
• Hayden-Preskill Recovery in Hamiltonian Systems
• Many-body localization of 1D disordered impenetrable two-component fermions
• Finite-size subthermal regime in disordered SU(N)-symmetric Heisenberg chains
• Bounding the resources for thermalizing many-body localized systems
• Disorder-induced spin-charge separation in the 1-D Hubbard model
• Investigating disordered many-body system with entanglement in momentum space
• Probing localization properties of many-body Hamiltonians via an imaginary vector potential
• Emergent statistical bubble localization in a Z2 lattice gauge theory
• Many-body localization and delocalization dynamics in the thermodynamic limit
• Characterization of many-body mobility edges with random matrices
• Renormalization-Group Analysis of the Many-Body Localization Transition in the Random-Field XXZ Chain
• Scattering theory of transport through disordered magnets
• Fast scrambling dynamics and many-body localization transition in an all-to-all disordered quantum spin model
• Interplay of many-body interactions and quasiperiodic disorder in the all-band-flat diamond chain
• Characterizing the many-body localization transition through correlations
• Effect of Hilbert space truncation on Anderson localization
• Many-body localized to ergodic transitions in a system with correlated disorder
• Nonequilibrium quantum order at infinite temperature: spatiotemporal correlations and their generating functions
• Re-entrant localization induced by short-range hopping in the fractal Rosenzweig-Porter Model
• Real-time dynamics of 1D and 2D bosonic quantum matter deep in the many-body localized phase
• Absence of Many-Body Localization in a Single Landau Level
• Characterizing The Many-Body Localization via Studying State Sensitivity to Boundary Conditions
• Effective realization of random magnetic fields in compounds with large single-ion anisotropy
• Dynamical potentials for non-equilibrium quantum many-body phases
• Imperfect Many-Body Localization in Exchange-Disordered Isotropic Spin Chains
• Two-body mobility edge in the Anderson-Hubbard model in three dimensions: Molecular versus scattering states
• Quantum Chaos, Thermodynamics and Black Hole Microstates in the mass deformed SYK model
• Stability and Dynamics of Many-Body Localized Systems Coupled to Small Bath
• Localisation and Sub-Diffusive Transport in Quantum Spin Chains With Dilute Disorder
• Dynamical quantum phase transitions in Stark quantum spin chains
• Many-body localization of ${\mathbb{Z}}_3$ Fock parafermions
• Reviving product states in the disordered Heisenberg chain
• Tracking locality in time evolution of disordered systems
• Quantum Inverse Freezing and Mirror-Glass Order
• 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
• Characterizing quantum chaoticity of kicked spin chains
• Operator Growth in Disordered Spin Chains: Indications for the Absence of Many-Body Localization
• Dynamics of quantum coherence in many-body localized systems
• Partitioned Quantum Subspace Expansion
• An exactly solvable model for Dynamic Nuclear polarization
• Finite steady-state current defies non-Hermitian many-body localization
• Anderson-Mott transition in a disordered Hubbard model with correlated hopping
• Many-body localization with mobility edges
• Modelling sample-to-sample fluctuations of the gap ratio in finite disordered spin chains
• Response to a local quench of a system near many body localization transition
• Topology and many-body localization
• Learning What a Machine Learns in a Many-Body Localization Transition
• Absence of two-body delocalization transitions in the two-dimensional Anderson-Hubbard model
• Sunburst quantum Ising model under interaction quench: entanglement and role of initial state coherence
• Slow melting of a disordered quantum crystal
• DanceQ: High-performance library for number-conserving bases
• Universal correlations in chaotic many-body quantum states: Fock-space formulation of Berrys random wave model
• Characterizing dynamical criticality of many-body localization transitions from the Fock-space perspective
• Self-Supervised Ensemble Learning: A Universal Method for Phase Transition Classification of Many-Body Systems
• Chaos controlled and disorder driven phase transitions induced by breaking permutation symmetry
• Stark Many-Body Localisation Under Periodic Driving
• Bound states in one-dimensional systems with colored noise
• Measurement-induced phase transition in periodically driven free-fermionic systems
• Quantum purification spectroscopy
• Complexity Measure Diagnostics of Ergodic to Many-Body Localization Transition
• Scaling of many-body localization transitions: Quantum dynamics in Fock space and real space
• Inducing a transition between thermal and many-body localized states and detecting many-body mobility edges through dissipation
• Information Dynamics in a Model with Hilbert Space Fragmentation
• Efficient simulation of many-body localized systems
• From Dyson Models to Many-Body Quantum Chaos
• Non-Hermitian Multipole Skin Effects Challenge Localization
• Reaction-diffusion dynamics in a Fibonacci chain: Interplay between classical and quantum behavior
• Accessing eigenstate spin-glass order from reduced density matrices
• Subsystem localization in a two-leg ladder system
• Universal properties of single particle excitations across the many-body localization transition
• Many-body localization in the infinite-interaction limit and the discontinuous eigenstate phase transition
• Quantum Circuits Reproduce Experimental Two-dimensional Many-body Localization Transition Point
• Finite size scaling for the Many-Body-Localization Transition : finite-size-pseudo-critical points of individual eigenstates
• Protecting Quantum Information via Many-Body Dynamical Localization
• Localization and interactions in topological and non-topological bands in two dimensions
• Probing Off-diagonal Eigenstate Thermalization with Tensor Networks
• Many-Body Localization Transition, Temporal Fluctuations of the Loschmidt Echo, and Scrambling
• Detecting Many-Body-Localization Length with Cold Atoms
• Trends of information backflow in disordered spin chains
• Weak ergodicity breaking transition in randomly constrained model
• State-dependent mobility edge in kinetically constrained models
• Interacting quasiperiodic spin chains in the prethermal regime
• Real Time Simulations of Quantum Spin Chains: Density-of-States and Reweighting approaches
• Localization in the random XXZ quantum spin chain
• Disorder effects in the ${\mathbb{Z}}_3$ Fock parafermion chain
• Platform tailored co-design of gate-based quantum simulation
• Disordered impenetrable two-component fermions in one dimension
• Quench dynamics of quasi-periodic systems exhibiting Rabi oscillations of two-level integrals of motion
• Spectral Multifractality and Emergent Energyscales Across the Many-Body Localisation Transition
• Unconventional Thermalization of a Localized Chain Interacting with an Ergodic Bath
• Non-linear response of interacting bosons in a quasiperiodic potential
• Symmetry- and energy-resolved entanglement dynamics in a disordered Bose-Hubbard model
• Localization detection based on quantum dynamics
• Efficient Learning of Long-Range and Equivariant Quantum Systems
• 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?
• Multipoint entanglement in disordered systems
• Thermal avalanches in isolated many-body localized systems
• Stochastic and long-distance level spacing statistics in many-body localization
• Anatomy of localisation protected quantum order on Hilbert space
• Multifractality in high-dimensional graphs induced by correlated radial disorder
• Space-time tradeoff in networked virtual distillation
• Spin and energy diffusion vs. subdiffusion in disordered spin chains
• Anomalous relaxation of density waves in a ring-exchange system
• Many-body mobility edges in 1D and 2D revealed by convolutional neural networks
• Escaping Local Minima with Quantum Coherent Cooling
• Enhanced localization in the prethermal regime of continuously measured many-body localized systems
• Equilibration of quantum cat states
• Many-body localization in the droplet spectrum of the random XXZ quantum spin chain
• Construction of Many-Body-Localized Models where all the eigenstates are Matrix-Product-States
• Anomalous energy correlations and spectral form factor in the nonergodic phase of the $\beta$-ensemble
• Multifractal statistics of non-Hermitian skin effect on the Cayley tree
• Many-body critical phase in a quasiperiodic chain and dynamical Widom lines in Fock space properties
• Localization and slow-thermalization in a cluster spin model
• Anomalous Enhancement of Entanglement Entropy in Nonequilibrium Steady States Driven by Zero-Temperature Reservoirs
• Dynamic thermalization on noisy quantum hardware
• Delocalization in a partially disordered interacting many-body system
• Exploring excited eigenstates of many-body systems using the functional renormalization group
• Subsystem Evolution Speed as Indicator of Relaxation
• Asymptotic Localization in the Bose-Hubbard Model
• Statistics of noninteracting many-body fermionic states: The question of a many-body mobility edge
• Investigating Stark many-body localization with continuous unitary transformation flows
• Shortcut to spin dynamics for quantum mixtures
• Quasiconservation Laws and Suppressed Transport in Weakly Interacting Localized Models
• Localization Transition for Interacting Quantum Particles in Colored-Noise Disorder
• Hierarchy of timescales in a disordered spin-$1/2$ XX ladder
• The Wishart--Rosenzweig--Porter random matrix ensemble
• Long-range resonances in quasiperiodic many-body localization
• Anderson localisation in spatially structured random graphs
• 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
• Neural Networks as Universal Probes of Many-Body Localization in Quantum Graphs
• Geometric quenches in quasi-disordered lattice system
• Localization-delocalization effects of a delocalizing dissipation on disordered XXZ spin chains
• Solving the k-sparse Eigenvalue Problem with Reinforcement Learning
• Stringent Test on Power Spectrum of Quantum Integrable and Chaotic Systems
• Disorder free many-body localization transition in two quasiperiodically coupled Heisenberg spin chains
• Phases and phase transition in Grover's algorithm with systematic noise
• Anderson and many-body localization in the presence of spatially correlated classical noise
• Dynamical irreversibility and local decoherence in quantum many-body chaos
• Euclidean-to-Lorentzian wormhole transition and gravitational symmetry breaking in the Sachdev-Ye-Kitaev model
• Construction and universal application of entanglement erasing partner states
• Anomalous transport in U(1)-symmetric quantum circuits
• Information Bounds on phase transitions in disordered systems
• Many-body localization and the emergence of quantum darwinism
• Enhancing Scalability of a Matrix-Free Eigensolver for Studying Many-Body Localization
• Coherently synchronized oscillations in many-body localization
• From single-particle to many-body chaos in Yukawa--SYK: theory and a cavity-QED proposal
• Explicit properties of the simplest inhomogeneous Matrix-Product-State including the Riemann metric of the MPS manifold
• Thouless Energy Across Many-Body Localization Transition in Floquet Systems
• Large deviations in the many-body localization transition: The case of the random-field XXZ chain
• Spectral statistics and energy-gap scaling in $k-$local spin Hamiltonians
• Imaginary Time Spectral Transforms for Excited State Preparation
• Pure states statistical mechanics: On its foundations and applications to quantum gravity
• Inner structure of the many-body localization transition and the fulfillment of the Harris criterion
• Scrambling dynamics across a thermalization-localization quantum phase transition
• Late-time universal distribution functions of observables in one-dimensional many-body quantum systems
• Nonequilibrium localization and the interplay between disorder and interactions
• Disorder-driven phase transitions in bosonic fractional quantum Hall liquids
• Probing the randomness of ergodic states: extreme-value statistics in the ergodic and many-body-localized phases
• Observation of Localization Using a Noisy Quantum Computer
• Scaling Theory of Few-Particle Delocalization
• Finite-size scalings in measurement-induced dynamical phase transition
• Fock-space geometry and strong correlations in many-body localized systems
• Two-dimensional many-body localized systems coupled to a heat bath
• Local density of states and scattering rates across the many-body localization transition
• Many-body localization and particle multioccupancy in the disordered Bose-Hubbard model
• AC Conductivity Crossover in Localized Superconductors
• Controlling discrete time crystals via single-site operations in zero-field diamond quantum simulators
• Relaxation mechanisms in a disordered system with the Poisson level statistics
• Global and short-range entanglement properties in excited, many-body localized spin chains
• Replica approach to the generalized Rosenzweig-Porter model
• Localization Dynamics from Static and Mobile Impurities
• Identifying mobility edge from finite temperature spectral form factor
• Beyond the imbalance: site-resolved dynamics probing resonances in many-body localization
• Anderson Localization on Husimi Trees and its implications for Many-Body localization