Evidence for unbounded growth of the number entropy in many-body localized phases

Abstract

We investigate the number entropy $S_N$---which characterizes particle-number fluctuations between subsystems---following a quench in one-dimensional interacting many-body systems with potential disorder. We find evidence that in the regime which is expected to show many-body localization (MBL) and where the entanglement entropy grows as $S\sim \ln t$ as function of time $t$, the number entropy grows as $S_N\sim \ln \ln t$, indicating continuing particle transport at a very slow rate. We demonstrate that this growth is consistent with a relation between entanglement and number entropy recently established for non-interacting systems.

References in corpus (36)

• Entanglement Entropy and Quantum Field Theory
• Many body localization and thermalization in quantum statistical mechanics
• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• Many-body localization, thermalization, and entanglement
• Observation of many-body localization of interacting fermions in a quasi-random optical lattice
• The many-body localization phase transition
• Many-body localization edge in the random-field Heisenberg chain
• Unbounded growth of entanglement in models of many-body localization
• Many body localization in Heisenberg XXZ magnet in a random field
• Phenomenology of fully many-body-localized systems
• A phenomenology of certain many-body-localized systems
• Local conservation laws and the structure of the many-body localized states
• Lieb-Robinson bounds and the generation of correlations and topological quantum order
• Universal slow growth of entanglement in interacting strongly disordered systems
• Probing entanglement in a many-body-localized system
• Universal dynamics and renormalization in many body localized systems
• Integrals of motion in the Many-Body localized phase
• Anomalous diffusion and Griffiths effects near the many-body localization transition
• Theory of the many-body localization transition in one dimensional systems
• The entanglement of indistinguishable particles shared between two parties
• Absence of diffusion in an interacting system of spinless fermions on a one-dimensional disordered lattice
• Extended slow dynamical regime close to the many-body localization transition
• Universal properties of many-body delocalization transitions
• Diffusive and subdiffusive spin transport in the ergodic phase of a many-body localizable system
• Diagonalization and Many-Body Localization for a Disordered Quantum Spin Chain
• A criterion for many-body localization-delocalization phase transition
• General entanglement scaling laws from time evolution
• Many-body localization and delocalization in large quantum chains
• Symmetry resolved entanglement in free fermionic systems
• Interaction instability of localization in quasiperiodic systems
• Entanglement Growth after a Global Quench in Free Scalar Field Theory
• Purification and many-body localization in cold atomic gases
• Signatures of the many-body localization transition in the dynamics of entanglement and bipartite fluctuations
• Many-body localization in infinite chains
• Entanglement growth after inhomogenous quenches
• Logarithmic entanglement growth in two-dimensional disordered fermionic systems

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• Dynamical obstruction to localization in a disordered spin chain
• Ergodicity Breaking Transition in Finite Disordered Spin Chains
• Challenges to observation of many-body localization
• Absence of true localization in many-body localized phases
• Many-Body Localization in the Age of Classical Computing
• Quasiparticle dynamics of symmetry resolved entanglement after a quench: the examples of conformal field theories and free fermions
• Entanglement and symmetry resolution in two dimensional free quantum field theories
• Entanglement equipartition in critical random spin chains
• Signatures of bath-induced quantum avalanches in a many-body--localized system
• Is there slow particle transport in the MBL phase?
• Symmetry decomposition of negativity of massless free fermions
• Symmetry resolved relative entropies and distances in conformal field theory
• Symmetry resolved entanglement in integrable field theories via form factor bootstrap
• Symmetry resolved entanglement in two-dimensional systems via dimensional reduction
• U(1) symmetry resolved entanglement in free 1+1 dimensional field theories via form factor bootstrap
• Operational Entanglement of Symmetry-Protected Topological Edge States
• Boundary effects on symmetry resolved entanglement
• Branch Point Twist Field Form Factors in the sine-Gordon Model II: Composite Twist Fields and Symmetry Resolved Entanglement
• Many-body localization in a fragmented Hilbert space
• Symmetry-resolved Page curves
• Experimental characterization of quantum many-body localization transition
• Stability of many-body localization in Floquet systems
• Resonance-induced growth of number entropy in strongly disordered systems
• Symmetry-resolved entanglement in a long-range free-fermion chain
• Non-Abelian symmetry can increase entanglement entropy
• Unusual wave-packet spreading and entanglement dynamics in non-Hermitian disordered many-body systems
• Finite-Size scaling analysis of many-body localization transition in quasi-periodic spin chains
• Symmetry-resolved entanglement in critical non-Hermitian systems
• Symmetric inseparability and number entanglement in charge conserving mixed states
• Universality in Anderson localization on random graphs with varying connectivity
• Entanglement of the $3$-State Potts Model via Form Factor Bootstrap: Total and Symmetry Resolved Entropies
• Many-body localization in tilted and harmonic potentials
• Phenomenology of spectral functions in disordered spin chains at infinite temperature
• Unlimited growth of particle fluctuations in many-body localized phases
• Symmetry Resolved Entanglement of Excited States in Quantum Field Theory I: Free Theories, Twist Fields and Qubits
• Constraints induced delocalization
• Entanglement resolution of free Dirac fermions on a torus
• Many-body localization in large systems: Matrix-product-state approach
• Scaling of Fock-space propagator and multifractality across the many-body localization transition
• The internal clock of many-body delocalization
• Detecting delocalization-localization transitions from full density distributions
• Multi-charged moments of two intervals in conformal field theory
• Exact hydrodynamic description of symmetry-resolved Rényi entropies after a quantum quench
• Symmetry restoration and quantum Mpemba effect in many-body localization systems
• Scale-Invariant Survival Probability at Eigenstate Transitions
• Entanglement dynamics in the many-body Hatano-Nelson model
• Symmetry Resolved Entanglement of Excited States in Quantum Field Theory II: Numerics, Interacting Theories and Higher Dimensions
• Interaction-Driven Instabilities in the Random-Field XXZ Chain
• Localization challenges quantum chaos in the finite two-dimensional Anderson model
• Role of Fock-space correlations in many-body localization
• Stability of mobility edges in disordered interacting systems
• A note on the quasiperiodic many-body localization transition in dimension $d>1$
• Universal Thermal Corrections to Symmetry-Resolved Entanglement Entropy and Full Counting Statistics
• Diagnostics of nonergodic extended states and many body localization proximity effect through real-space and Fock-space excitations
• Catching thermal avalanches in the disordered XXZ model
• Detecting ergodic bubbles at the crossover to many-body localization using neural networks
• Quantum correlations of localized atomic excitations in a disordered atomic chain
• Two-Point Functions of Composite Twist Fields in the Ising Field Theory
• Signatures of multifractality in a periodically driven interacting Aubry-André model
• Dephasing in strongly disordered interacting quantum wires
• Page curve and symmetries
• Entanglement dynamics in the three-dimensional Anderson model
• Restoring ergodicity in a strongly disordered interacting chain
• Particle fluctuations and the failure of simple effective models for many-body localized phases
• Symmetry Resolved Measures in Quantum Field Theory: a Short Review
• Floquet-induced localization in long-range many-body systems
• Analytical theory of cat scars with discrete time crystalline dynamics in Floquet systems
• The Fock-space landscape of many-body localisation
• Ergodicity breaking with long range cavity induced quasiperiodic interactions
• Probability transport on the Fock space of a disordered quantum spin chain
• Many-Body Mobility Edge in Quantum Sun models
• Slow dynamics of a mobile impurity interacting with an Anderson insulator
• Loschmidt echo singularities as dynamical signatures of strongly localized phases
• Symmetry-resolved entanglement in fermionic systems with dissipation
• Quasiperiodicity hinders ergodic Floquet eigenstates
• Charge-resolved entanglement in the presence of topological defects
• Ultraslow Growth of Number Entropy in an l-bit Model of Many-Body Localization
• Benchmarking a novel efficient numerical method for localized 1D Fermi-Hubbard systems on a quantum simulator
• Symmetry Resolution in non-Lorentzian Field Theories
• Studying many-body localization in exchange-coupled electron spin qubits using spin-spin correlations
• Localization of a mobile impurity interacting with an Anderson insulator
• Absence of localization in interacting spin chains with a discrete symmetry
• Symmetry-Resolved Entanglement: General considerations, calculation from correlation functions, and bounds for symmetry-protected topological phases
• Sensitivity of the spectral form factor to short-range level statistics
• Hilbert space fragmentation at the origin of disorder-free localization in the lattice Schwinger model
• Absence of localization in two-dimensional Clifford circuits
• Quantum information spreading in random spin chains
• More on symmetry resolved operator entanglement
• Eigenstate properties of the disordered Bose-Hubbard chain
• Many-body localization crossover is sharper in quasiperiodic spin chains
• Slow propagation of information on the random XXZ quantum spin chain
• Enhanced many-body localization in a kinetically constrained model
• Strongly disordered Anderson insulator chains with generic two-body interaction
• Phase Diagram Detection via Gaussian Fitting of Number Probability Distribution
• Finite-size prethermalization at the chaos-to-integrable crossover
• Symmetry-Resolved Entanglement of $C_2$-symmetric Topological Insulators
• What can we learn from diffusion about Anderson localization of a degenerate Fermi gas?
• Phenomenology of many-body localization in bond-disordered spin chains
• Crossover from a delocalized to localized atomic excitation in an atom-waveguide interface
• Hayden-Preskill Recovery in Hamiltonian Systems
• Probing Hilbert space fragmentation and the block inverse participation ratio
• Non-equilibrium evolution of Bose-Einstein condensate deformation in temporally controlled weak disorder
• Many-body localization regime for cavity induced long-range interacting models
• Many-body localization and delocalization dynamics in the thermodynamic limit
• Symmetry-resolved entanglement entropy in Wess-Zumino-Witten models
• Reviving product states in the disordered Heisenberg chain
• Tracking locality in time evolution of disordered systems
• Contour-time approach to the disordered Bose-Hubbard model in the strong coupling regime
• Operator Growth in Disordered Spin Chains: Indications for the Absence of Many-Body Localization
• Stabilizing an ultracold Fermi gas against Fermi acceleration to superdiffusion through localization
• Localization of Pairs in One-Dimensional Quasicrystals with Power-Law Hopping
• Modelling sample-to-sample fluctuations of the gap ratio in finite disordered spin chains
• Inhomogeneous Floquet thermalization
• Localization in the random XXZ quantum spin chain
• Many-body localization in the infinite-interaction limit and the discontinuous eigenstate phase transition
• Entanglement dynamics and eigenstate correlations in strongly disordered quantum many-body systems
• Scaling of many-body localization transitions: Quantum dynamics in Fock space and real space
• Exact quench dynamics of symmetry resolved entanglement in a free fermion chain
• Logarithmic light cone, slow entanglement growth, and quantum memory
• Unconventional Thermalization of a Localized Chain Interacting with an Ergodic Bath
• Ergodicity breaking transition in zero dimensions
• Symmetry- and energy-resolved entanglement dynamics in a disordered Bose-Hubbard model
• Many-body critical phase in a quasiperiodic chain and dynamical Widom lines in Fock space properties
• Delocalization in a partially disordered interacting many-body system
• Thermodynamic symmetry resolved entanglement entropies in integrable systems
• Quasiconservation Laws and Suppressed Transport in Weakly Interacting Localized Models
• DisQu: Investigating the Impact of Disorder in Quantum Generative Models
• Inner structure of the many-body localization transition and the fulfillment of the Harris criterion
• Krylov complexity of many-body localization: Operator localization in Krylov basis
• Large deviations in the many-body localization transition: The case of the random-field XXZ chain
• Anderson Localization on Husimi Trees and its implications for Many-Body localization
• Relaxation mechanisms in a disordered system with the Poisson level statistics
• Many-body localization in a tilted potential in two dimensions
• Many-body localization and particle multioccupancy in the disordered Bose-Hubbard model
• Numerical Study of Disordered Noninteracting Chains Coupled to a Local Lindblad Bath