Many-body delocalization with random vector potentials
arXiv:1608.07287 · doi:10.1103/PhysRevA.94.053610
Abstract
We study the ergodic properties of excited states in a model of interacting fermions in quasi-one-dimensional chains subjected to a random vector potential. In the noninteracting limit, we show that arbitrarily small values of this complex off-diagonal disorder trigger localization for the whole spectrum; the divergence of the localization length in the single-particle basis is characterized by a critical exponent which depends on the energy density being investigated. When short-range interactions are included, the localization is lost, and the system is ergodic regardless of the magnitude of disorder in finite chains. Our numerical results suggest a delocalization scheme for arbitrary small values of interactions. This finding indicates that the standard scenario of the many-body localization cannot be obtained in a model with random gauge fields.
9 pages, 12 figures - Published version
References in corpus (41)
- Many-Body Physics with Ultracold Gases
- Classification of topological insulators and superconductors in three spatial dimensions
- Thermalization and its mechanism for generic isolated quantum systems
- Many body localization and thermalization in quantum statistical mechanics
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Experimental realisation of the topological Haldane model
- Anderson Transitions
- Artificial gauge potentials for neutral atoms
- 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
- The many-body localization phase transition
- Light-induced gauge fields for ultracold atoms
- Many-body localization edge in the random-field Heisenberg chain
- Unbounded growth of entanglement in models of many-body localization
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Exploring the many-body localization transition in two dimensions
- Many body localization in Heisenberg XXZ magnet in a random field
- Interacting electrons in disordered wires: Anderson localization and low-temperature transport
- Many-body localization in a quantum simulator with programmable random disorder
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Synthetic gauge fields in synthetic dimensions
- Breakdown of thermalization in finite one-dimensional systems
- Universal dynamics and renormalization in many body localized systems
- A Density Matrix-based Algorithm for Solving Eigenvalue Problems
- Many-Body Localization in a Quasiperiodic System
- Testing whether all eigenstates obey the Eigenstate Thermalization Hypothesis
- Coupling Identical 1D Many-Body Localized Systems
- Absence of diffusion in an interacting system of spinless fermions on a one-dimensional disordered lattice
- Finite-size scaling of eigenstate thermalization
- Spectral statistics across the many-body localization transition
- Quantum quenches in the many-body localized phase
- Interferometric probes of many-body localization
- Eigenstate thermalization in the two-dimensional transverse field Ising model
- Many body localization and thermalization: insights from the entanglement spectrum
- Many-body localization and thermalization in disordered Hubbard chains
- Quantum revivals and many-body localization
- Anderson localization of electron states in graphene in different types of disorder
- Quantum quenches in disordered systems: Approach to thermal equilibrium without a typical relaxation time
- Marginal Anderson localization and many body delocalization
- Quantum quenches and many-body localization in the thermodynamic limit
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