Noise-induced subdiffusion in strongly localized quantum systems

Abstract

We consider the dynamics of strongly localized systems subject to dephasing noise with arbitrary correlation time. Although noise inevitably induces delocalization, transport in the noise-induced delocalized phase is subdiffusive in a parametrically large intermediate-time window. We argue for this intermediate-time subdiffusive regime both analytically and using numerical simulations on single-particle localized systems. Furthermore, we show that normal diffusion is restored in the long-time limit, through processes analogous to variable-range hopping. With numerical simulations based on Lanczos exact diagonalization, we demonstrate that our qualitative conclusions are also valid for interacting systems in the many-body localized phase.

5 pages, 4 figures + Supplemental Material, v2: additional data on noise-induced dynamics in many-body localized systems

References in corpus (15)

• Many body localization and thermalization in quantum statistical mechanics
• Exploring the many-body localization transition in two dimensions
• 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
• Universal spreading of wavepackets in disordered nonlinear systems
• Periodically Driving a Many-Body Localized Quantum System
• Rare region effects and dynamics near the many-body localization transition
• Interferometric probes of many-body localization
• Possible experimental manifestations of the many-body localization
• Fixed points of Wegner-Wilson flows and many-body localization
• Transport in a disordered tight-binding chain with dephasing
• Role of interactions in a dissipative many-body localized system
• A mean-field theory of nearly many-body localized metals
• Localized systems coupled to small baths: from A${}_{nderson}$ to Z${}_{eno}$
• Spin-catalyzed hopping conductivity in disordered strongly interacting quantum wires

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• Dephasing-assisted diffusive dynamics in superconducting quantum circuits
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• Inducing a transition between thermal and many-body localized states and detecting many-body mobility edges through dissipation
• Anderson localization without eigenstates in photonic quantum walks
• Noise Induced Universal Diffusive Transport in Fermionic Chains
• Nonergodic dynamics for an impurity interacting with bosons in tilted lattice
• From time crystals to time quasicrystals: Exploring quasiperiodic phases in transverse field Ising chains
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