Einstein relation for a driven disordered quantum chain in subdiffusive regime

Abstract

A quantum particle propagates subdiffusively on a strongly disordered chain when it is coupled to itinerant hard-core bosons. We establish a generalized Einstein relation (GER) that relates such subdiffusive spread to an unusual time-dependent drift velocity, which appears as a consequence of a constant electric field. We show that GER remains valid much beyond the regime of the linear response. Qualitatively, it holds true up to strongest drivings when the nonlinear field-effects lead to the Stark-like localization. Numerical calculations based on full quantum evolution are substantiated by much simpler rate equations for the boson-assisted transitions between localized Anderson states.

Accepted for publication in Phys. Rev. Lett

References in corpus (65)

• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• Localization of interacting fermions at high temperature
• Observation of many-body localization of interacting fermions in a quasi-random optical lattice
• Many-body localization edge in the random-field Heisenberg chain
• Unbounded growth of entanglement in models of many-body localization
• Exploring the many-body localization transition in two dimensions
• 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
• Many-body localization in a quantum simulator with programmable random disorder
• Universal slow growth of entanglement in interacting strongly disordered systems
• Many-body localization in a disordered quantum Ising chain
• Many-body localization in periodically driven systems
• Universal dynamics and renormalization in many body localized systems
• Anomalous diffusion and Griffiths effects near the many-body localization transition
• Fate of many-body localization under periodic driving
• Coupling Identical 1D Many-Body Localized Systems
• Absence of diffusion in an interacting system of spinless fermions on a one-dimensional disordered lattice
• Periodically driven ergodic and many-body localized quantum systems
• Extended slow dynamical regime close to the many-body localization transition
• Periodically Driving a Many-Body Localized Quantum System
• The Ergodic Side of the Many-Body Localization Transition
• Diagonalization and Many-Body Localization for a Disordered Quantum Spin Chain
• Diffusive and subdiffusive spin transport in the ergodic phase of a many-body localizable system
• Observation of Slow Dynamics near the Many-Body Localization Transition in One-Dimensional Quasiperiodic Systems
• Disorder-induced Localization in a Strongly Correlated Atomic Hubbard Gas
• A criterion for many-body localization-delocalization phase transition
• Many-body localization characterized from a one-particle perspective
• Probing Slow Relaxation and Many-Body Localization in Two-Dimensional Quasi-Periodic Systems
• The Hilbert-glass transition: new universality of temperature-tuned many-body dynamical quantum criticality
• Rare region effects and dynamics near the many-body localization transition
• Anomalous thermalization in ergodic systems
• Low-frequency conductivity in many-body localized systems
• Quantum quenches in the many-body localized phase
• Dynamics at the Many-Body Localization Transition
• Many-body mobility edge in a mean-field quantum spin glass
• Many-body localization transition in a lattice model of interacting fermions: statistics of renormalized hoppings in configuration space
• Dynamics of Many-Body Localization
• Many-body localization and thermalization in disordered Hubbard chains
• Quantum revivals and many-body localization
• Many-body localization due to random interactions
• Transport in quasiperiodic interacting systems: from superdiffusion to subdiffusion
• Purification and many-body localization in cold atomic gases
• Absence of full many-body localization in the disordered Hubbard chain
• Typicality approach to the optical conductivity in thermal and many-body localized phases
• Nonlinear response of Bloch electrons in infinite dimensions
• Dynamical conductivity and its fluctuations along the crossover to many-body localization
• Many-Body Localization in Spin Chain Systems with Quasiperiodic Fields
• Noise-induced subdiffusion in strongly localized quantum systems
• Inevitable Power-law Behavior of Isolated Many-Body Quantum Systems and How It Anticipates Thermalization
• Spin subdiffusion in disordered Hubbard chain
• Domain-wall melting as a probe of many-body localization
• Disorder-driven metal-insulator transitions in deformable lattices
• Spin-charge separation and many-body localization
• Universal dynamics of density correlations at the transition to many-body localized state
• Density dynamics from current auto-correlations at finite time- and length-scales
• Self-consistent approach to many-body localization and subdiffusion
• Localization and transport in a strongly driven Anderson insulator
• Distinctive response of many-body localized systems to strong electric field
• Local spin relaxation within the random Heisenberg chain
• Spin-mediated particle transport in the disordered Hubbard model
• Delocalized charge carriers in strongly disordered t-J model
• Transient and persistent particle subdiffusion in a disordered chain coupled to bosons
• Configuration-Controlled Many-Body Localization and the Mobility Emulsion
• Dynamics of the one-dimensional Anderson insulator coupled to various bosonic baths

Cited by in corpus (6)

• Dynamics and Transport at the Threshold of Many-Body Localization
• Phenomenology of spectral functions in disordered spin chains at infinite temperature
• Many-body localization as a percolation phenomenon
• Resistivity and its fluctuations in disordered many-body systems: from chains to planes
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Random sparse generators of Markovian evolution and their spectral properties