Absence of diffusion in an interacting system of spinless fermions on a one-dimensional disordered lattice

Abstract

We study the infinite temperature dynamics of a prototypical one-dimensional system expected to exhibit many-body localization. Using numerically exact methods, we establish the dynamical phase diagram of this system based on the statistics of its eigenvalues and its dynamical behavior. We show that the nonergodic phase is reentrant as a function of the interaction strength, illustrating that localization can be reinforced by sufficiently strong interactions even at infinite temperature. Surprisingly, within the accessible time range, the ergodic phase shows subdiffusive behavior, suggesting that the diffusion coefficient vanishes throughout much of the phase diagram in the thermodynamic limit. Our findings strongly suggest that Wigner-Dyson statistics of eigenvalue spacings may appear in a class of ergodic but subdiffusive systems.

5 pages, 3 figures. (updated references and journal reference)

References in corpus (12)

• Many-Body Physics with Ultracold Gases
• Localization of interacting fermions at high temperature
• Real time evolution using the density matrix renormalization group
• Many body localization in Heisenberg XXZ magnet in a random field
• Integrals of motion in the Many-Body localized phase
• Spin transport in a one-dimensional anisotropic Heisenberg model
• Minimally Entangled Typical Thermal State Algorithms
• Ergodicity breaking in a model showing many-body localization
• A real-time study of diffusive and ballistic transport in spin-1/2 chains using the adaptive time-dependent density matrix renormalization group method
• Density dynamics in translationally invariant spin-1/2 chains at high temperatures: a current auto-correlation approach to finite time- and length-scales
• Thermal transport of the XXZ chain in a magnetic field
• Finite temperature transport in disordered Heisenberg chains

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