Thouless time analysis of Anderson and many-body localization transitions

Abstract

Spectral statistics of disordered systems encode Thouless and Heisenberg time scales whose ratio determines whether the system is chaotic or localized. Identifying similarities between system size and disorder strength scaling of Thouless time for disordered quantum many-body systems with results for 3D and 5D Anderson models, we argue that the two-parameter scaling breaks down in the vicinity of the transition to the localized phase signalling subdiffusive dynamics.

2nd version, several minor changes in text and discussions expanded, 4+1 pages, 3+1 figures, comments welcome

References in corpus (25)

• Many body localization and thermalization in quantum statistical mechanics
• Localization of interacting fermions at high temperature
• Many-body localization edge in the random-field Heisenberg chain
• The distribution of the ratio of consecutive level spacings in random matrix ensembles
• Many body localization in Heisenberg XXZ magnet in a random field
• Phenomenology of fully many-body-localized systems
• Integrals of motion in the Many-Body localized phase
• Anomalous diffusion and Griffiths effects near the many-body localization transition
• Absence of diffusion in an interacting system of spinless fermions on a one-dimensional disordered lattice
• Chaos, Complexity, and Random Matrices
• Anomalous thermalization in ergodic systems
• Many-body localization dynamics from gauge invariance
• Off-diagonal matrix elements of local operators in many-body quantum systems
• Can we study the many-body localisation transition?
• Critical parameters from generalised multifractal analysis at the Anderson transition
• Many-body localization due to random interactions
• Many-body localization in infinite chains
• Multifractal analysis with the probability density function at the three-dimensional Anderson transition
• Absence of full many-body localization in the disordered Hubbard chain
• Critical properties of the Anderson localization transition and the high dimensional limit
• Dimensional dependence of the metal-insulator transition
• Many-Body Localization in System with a Completely Delocalized Single-Particle Spectrum
• Universal dynamics of density correlations at the transition to many-body localized state
• Many-body localization in presence of cavity mediated long-range interactions
• Statistical Bubble Localization with Random Interactions

Cited by in corpus (177)

• Finite-temperature transport in one-dimensional quantum lattice models
• Avalanches and many-body resonances in many-body localized systems
• Entanglement phase transitions in measurement-only dynamics
• Dynamical obstruction to localization in a disordered spin chain
• Distinguishing localization from chaos: challenges in finite-size systems
• Ergodicity Breaking Transition in Finite Disordered Spin Chains
• Challenges to observation of many-body localization
• Polynomially filtered exact diagonalization approach to many-body localization
• Absence of true localization in many-body localized phases
• Many-Body Localization in the Age of Classical Computing
• Stark many-body localization on a superconducting quantum processor
• Many-body physics in the NISQ era: quantum programming a discrete time crystal
• Signatures of bath-induced quantum avalanches in a many-body--localized system
• Universality in the onset of quantum chaos in many-body systems
• Local pairing of Feynman histories in many-body Floquet models
• Probing many-body quantum chaos with quantum simulators
• Quantum transport and localization in 1d and 2d tight-binding lattices
• Chain breaking and Kosterlitz-Thouless scaling at the many-body localization transition in the random field Heisenberg spin chain
• Eigenstate thermalization hypothesis and its deviations from random-matrix theory beyond the thermalization time
• Stark many-body localization: Evidence for Hilbert-space shattering
• Many-body localization from a one-particle perspective in the disordered 1D Bose-Hubbard model
• Phenomenology of the Prethermal Many-Body Localized Regime
• A statistical mechanism for operator growth
• Many-body localization in a fragmented Hilbert space
• Universal spectral form factor for many-body localization
• Many-body localization of bosons in optical lattice: Dynamics in disorder-free potentials
• Stability of many-body localization in Floquet systems
• Entanglement in many-body eigenstates of quantum-chaotic quadratic Hamiltonians
• Resonance-induced growth of number entropy in strongly disordered systems
• Finite-Size scaling analysis of many-body localization transition in quasi-periodic spin chains
• Universality in Anderson localization on random graphs with varying connectivity
• Sub-diffusive Thouless time scaling in the Anderson model on random regular graphs
• Phenomenology of spectral functions in disordered spin chains at infinite temperature
• Unlimited growth of particle fluctuations in many-body localized phases
• Spectral Properties of Disordered Interacting Non-Hermitian Systems
• Many-body quantum chaos in stroboscopically-driven cold atoms
• Many-body localization transition in large quantum spin chains: The mobility edge
• Coexistence of localized and extended phases: Many-body localization in a harmonic trap
• To heat or not to heat: time crystallinity and finite-size effects in clean Floquet systems
• Constraints induced delocalization
• Local integrals of motion and the quasiperiodic many-body localization transition
• Multifractality and self-averaging at the many-body localization transition
• Single-particle eigenstate thermalization in quantum-chaotic quadratic Hamiltonians
• Many-body localization in large systems: Matrix-product-state approach
• Simulation of quantum many-body dynamics with Tensor Processing Units: Floquet prethermalization
• Scaling of Fock-space propagator and multifractality across the many-body localization transition
• Detecting delocalization-localization transitions from full density distributions
• The internal clock of many-body delocalization
• Nonergodic dynamics in disorder-free potentials
• Delayed Thermalization in Mass-Deformed SYK
• Self-averaging in many-body quantum systems out of equilibrium. II. Approach to the localized phase
• Adiabatic eigenstate deformations and weak integrability breaking of Heisenberg chain
• Scale-Invariant Survival Probability at Eigenstate Transitions
• Interaction-Driven Instabilities in the Random-Field XXZ Chain
• Thouless Energy Challenges Thermalization on the Ergodic Side of the Many-Body Localization Transition
• Many-body localization in Bose-Hubbard model: evidence for the mobility edge
• Scale-invariant critical dynamics at eigenstate transitions
• Topological order in random interacting Ising-Majorana chains stabilized by many-body localization
• Mean field theory of failed thermalizing avalanches
• Mobility edge in long-range interacting many-body localized systems
• Localization challenges quantum chaos in the finite two-dimensional Anderson model
• Role of Fock-space correlations in many-body localization
• A note on the quasiperiodic many-body localization transition in dimension $d>1$
• Detecting ergodic bubbles at the crossover to many-body localization using neural networks
• Signatures of a critical point in the many-body localization transition
• Catching thermal avalanches in the disordered XXZ model
• Recent progress on quantum simulations of non-standard Bose-Hubbard models
• Incommensurate many-body localization in the presence of long-range hopping and single-particle mobility edge
• Many-body delocalization from embedded thermal inclusion
• Scrambling and Many-Body Localization in the XXZ-Chain
• Restoring ergodicity in a strongly disordered interacting chain
• Dephasing in strongly disordered interacting quantum wires
• Long-range level correlations in quantum systems with finite Hilbert space dimension
• Tight-binding billiards
• Scaling properties of a spatial one-particle density-matrix entropy in many-body localized systems
• Polynomial filter diagonalization of large Floquet unitary operators
• Breakdown of ergodicity in disordered U(1) lattice gauge theories
• Quantum boomerang effect for interacting particles
• Dynamics of Many-Body Delocalization in the Time-dependent Hartree-Fock Approximation
• Relaxation at different length-scales in models of many-body localization
• 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
• Universality classes of thermalization for mesoscopic Floquet systems
• The Fock-space landscape of many-body localisation
• Many-body localization as a percolation phenomenon
• Many-body localization and the area law in two dimensions
• Ultraslow Growth of Number Entropy in an l-bit Model of Many-Body Localization
• Information-Theoretic Memory Scaling in the Many-Body Localization Transition
• Slow dynamics of a mobile impurity interacting with an Anderson insulator
• Many-body localization with synthetic gauge fields in disordered Hubbard chains
• Slow diffusion and Thouless localization criterion in modulated spin chains
• Nonstabilizerness dynamics in many-body localized systems
• Disorder enhanced quantum many-body scars in Hilbert crystals
• Operator dynamics in Floquet many-body systems
• Many-body localization in one dimensional optical lattice with speckle disorder
• Diffusion in the Anderson model in higher dimensions
• Destruction of Localization by Thermal Inclusions: Anomalous Transport and Griffiths Effects in the Anderson and André-Aubry-Harper Models
• Absence of localization in interacting spin chains with a discrete symmetry
• Long-range spectral statistics of the Rosenzweig-Porter model
• Absence of localization in two-dimensional Clifford circuits
• Breaking the chains: extreme value statistics and localization in random spin chains
• Sensitivity of the spectral form factor to short-range level statistics
• A stabilization mechanism for many-body localization in two dimensions
• Signatures of many-body localization of quasiparticles in a flat band superconductor
• Ergodic inclusions in many body localized systems
• 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
• Enhanced many-body localization in a kinetically constrained model
• Slow propagation of information on the random XXZ quantum spin chain
• Resistivity and its fluctuations in disordered many-body systems: from chains to planes
• Resilient infinite randomness criticality for a disordered chain of interacting Majorana fermions
• Single-Particle Universality of the Many-Body Spectral Form Factor
• Many-body localization crossover is sharper in quasiperiodic spin chains
• Renormalization group for Anderson localization on high-dimensional lattices
• Finite-size prethermalization at the chaos-to-integrable crossover
• Localization and integrability breaking in weakly interacting Floquet circuits
• What can we learn from diffusion about Anderson localization of a degenerate Fermi gas?
• Phenomenology of many-body localization in bond-disordered spin chains
• Many-body localization regime for cavity induced long-range interacting models
• Entanglement entropy and localization in disordered quantum chains
• Semiclassical bounds on dynamics of two-dimensional interacting disordered fermions
• Hayden-Preskill Recovery in Hamiltonian Systems
• Finite-size subthermal regime in disordered SU(N)-symmetric Heisenberg chains
• Critical dynamics of long-range quantum disordered systems
• Probing Hilbert space fragmentation and the block inverse participation ratio
• Effects of auto-correlated disorder on the dynamics in the vicinity of the many-body localization transition
• Cat states carrying long-range correlations in the many-body localized phase
• Spectral form factor and energy correlations in banded random matrices
• Anderson localization of emergent quasiparticles: Spinon and vison interplay at finite temperature in a ${\mathbb{Z}}_2$ gauge theory in three dimensions
• Exact spectral form factors of non-interacting fermions with Dyson statistics
• Many-body localized to ergodic transitions in a system with correlated disorder
• Characterization of many-body mobility edges with random matrices
• Non-Markovian dephasing of disordered, quasi-one-dimensional fermion systems
• Stability and Dynamics of Many-Body Localized Systems Coupled to Small Bath
• Subdiffusive spin transport in disordered classical Heisenberg chains
• Reviving product states in the disordered Heisenberg chain
• Spectral Form Factors of Topological Phases
• Localization of Pairs in One-Dimensional Quasicrystals with Power-Law Hopping
• Quantum logarithmic multifractality
• Operator Growth in Disordered Spin Chains: Indications for the Absence of Many-Body Localization
• The role of interaction-induced tunneling in the dynamics of polar lattice bosons
• Tracking locality in time evolution of disordered systems
• Modelling sample-to-sample fluctuations of the gap ratio in finite disordered spin chains
• Localization in the random XXZ quantum spin chain
• Scaling theory of fading ergodicity
• Disorder effects in the ${\mathbb{Z}}_3$ Fock parafermion chain
• Weak ergodicity breaking transition in randomly constrained model
• Nonergodic dynamics for an impurity interacting with bosons in tilted lattice
• Many-body localization in the infinite-interaction limit and the discontinuous eigenstate phase transition
• Interacting quasiperiodic spin chains in the prethermal regime
• Ballistic conductance with and without disorder in a boundary-driven XXZ spin chain
• Ergodicity breaking transition in zero dimensions
• Critical quantum dynamics of observables at eigenstate transitions
• Many-body mobility edges in 1D and 2D revealed by convolutional neural networks
• Spin and energy diffusion vs. subdiffusion in disordered spin chains
• Anomalous energy correlations and spectral form factor in the nonergodic phase of the $\beta$-ensemble
• Unconventional Thermalization of a Localized Chain Interacting with an Ergodic Bath
• Unsupervised machine learning for detecting mutual independence among eigenstate regimes in interacting quasiperiodic chains
• Hierarchy of timescales in a disordered spin-$1/2$ XX ladder
• A Complex Network Analysis on The Eigenvalue Spectra of Random Spin Systems
• Long-range resonances in quasiperiodic many-body localization
• 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
• False signals of chaos from quantum probes
• On the difference between thermalization in open and isolated quantum systems: a case study
• Numerical Study of Disordered Noninteracting Chains Coupled to a Local Lindblad Bath
• Localization transitions in quadratic systems without quantum chaos
• Spectral properties of three-dimensional Anderson model
• 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
• Identifying mobility edge from finite temperature spectral form factor
• Critical Dynamics of the Anderson Transition on Small-World Graphs
• Late-time universal distribution functions of observables in one-dimensional many-body quantum systems
• Surmise for random matrices' level spacing distributions beyond nearest-neighbors
• Thouless Energy Across Many-Body Localization Transition in Floquet Systems
• Many-body localization in a tilted potential in two dimensions