Strongly interacting bosons in multi-chromatic potentials supporting mobility edges: localization, quasi-condensation and expansion dynamics

Abstract

We provide an account of the static and dynamic properties of hard-core bosons in a one-dimensional lattice subject to a multi-chromatic quasiperiodic potential for which the single-particle spectrum has mobility edges. We use the mapping from strongly interacting bosons to weakly interacting fermions, and provide exact numerical results for hard-core bosons in and out of equilibrium. In equilibrium, we find that the system behaves like a quasi-condensate (insulator) depending on whether the Fermi surface of the corresponding fermionic system lies in a spectral region where the single-particle states are delocalized (localized). We also study non-equilibrium expansion dynamics of initially trapped bosons, and demonstrate that the extent of partial localization is determined by the single-particle spectrum.

References in corpus (14)

• Many-Body Localization in a Quasiperiodic System
• Entanglement Spectrum of a Disordered Topological Chern Insulator
• The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
• Localization in one dimensional lattices with non-nearest-neighbor hopping: Generalized Anderson and Aubry-André models
• Localization in one-dimensional incommensurate lattices beyond the Aubry-André model
• Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
• Effect of interactions on the localization of a Bose-Einstein condensate in a quasi-periodic lattice
• Phase diagram and momentum distribution of an interacting Bose gas in a bichromatic lattice
• Free expansion of impenetrable bosons on one-dimensional optical lattices
• Anderson localization of pairs in bichromatic optical lattices
• Lattice modulation spectroscopy of strongly interacting bosons in disordered and quasi-periodic optical lattices
• Ground-state and dynamic properties of hard-core bosons in one-dimensional incommensurate optical lattices with harmonic trap
• Quantum criticality in disordered bosonic optical lattices
• Reentrant transition of bosons in a quasiperiodic potential

Cited by in corpus (16)

• Domain-wall melting as a probe of many-body localization
• Entanglement contour perspective for strong area law violation in a disordered long-range hopping model
• Edge and bulk localization of Floquet topological superconductors
• Topological Properties of Ultracold Bosons in One-Dimensional Quasiperiodic Optical Lattice
• Modulated trapping of interacting bosons in one dimension
• Out of Time Order Correlations in the Quasi-Periodic Aubry-André model
• Dynamics and level statistics of interacting fermions in the Lowest Landau Level
• Short-range interactions are irrelevant at the quasiperiodic-driven Luttinger Liquid to Anderson Glass transition
• Scaling at the OTOC Wavefront: free versus chaotic models
• Strongly interacting bosons in 1D disordered lattice: phase coherence of distorted Mott phases
• Interplay of Anderson localization and quench dynamics
• Entanglement entropy scaling in critical phases of 1D quasiperiodic systems
• Structural constraints on mobility edges in one-dimensional quasiperiodic systems
• Coexistence of extended and localized states in one-dimensional systems
• Fractal Quasicondensation in One Dimension
• Fate of the Quasi-condensed State for Bias-driven Hard-Core Bosons in one Dimension