Discrete disorder models for many-body localization

Abstract

Using exact diagonalization technique, we investigate the many-body localization phenomenon in the 1D Heisenberg chain comparing several disorder models. In particular we consider a family of discrete distributions of disorder strengths and compare the results with the standard uniform distribution. Both statistical properties of energy levels and the long time non-ergodic behavior are discussed. The results for different discrete distributions are essentially identical to those obtained for the continuous distribution, provided the disorder strength is rescaled by the standard deviation of the random distribution. Only for the binary distribution significant deviations are observed.

arXiv commentversion accepted in Phys. Rev. B

References in corpus (29)

• Chaos and Quantum Thermalization
• Many body localization and thermalization in quantum statistical mechanics
• 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
• Many-body localization edge in the random-field Heisenberg chain
• The distribution of the ratio of consecutive level spacings in random matrix ensembles
• Exploring the many-body localization transition in two dimensions
• Phenomenology of fully many-body-localized systems
• A phenomenology of certain many-body-localized systems
• Coupling Identical 1D Many-Body Localized Systems
• Recent progress in many-body localization
• Atomic Bose and Anderson glasses in optical lattices
• Extended slow dynamical regime close to the many-body localization transition
• Signatures of Many-Body Localization in a Controlled Open Quantum 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
• Phase Diagram of Bosonic Atoms in Two-Color Superlattices
• Matterwave localization in disordered cold atom lattices
• Many-body localization and thermalization in disordered Hubbard chains
• Many-body localization due to random interactions
• Purification and many-body localization in cold atomic gases
• Exploiting Quantum Parallelism To Simulate Quantum Random Many-Body Systems
• Many-body localization in infinite chains
• Many-body localization of bosons in optical lattices
• Quantum quenches and many-body localization in the thermodynamic limit
• Many-body localization for randomly interacting bosons
• Surface plasmon in 2D Anderson insulator with interactions

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