Superfluid to Bose-glass transition of hard core bosons in one-dimensional incommensurate optical lattice

Abstract

We study superfluid to Anderson insulator transition of strongly repulsive Bose gas in a one dimensional incommensurate optical lattice. In the hard core limit, the Bose-Fermi mapping allows us to deal with the system exactly by using the exact numerical method. Based on the Aubry-André model, we exploit the phase transition of the hard core boson system from superfluid phase with all the single particle states being extended to the Bose glass phase with all the single particle states being Anderson localized as the strength of the incommensurate potential increasing relative to the amplitude of hopping. We evaluate the superfluid fraction, the one particle density matrices, momentum distributions, the natural orbitals and their occupations. All of these quantities show that there exists a phase transition from superfluid to insulator in the system.

6 pages, 7 figures

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Cited by in corpus (23)

• Edge states and topological phases in one-dimensional optical superlattices
• Localization in one dimensional lattices with non-nearest-neighbor hopping: Generalized Anderson and Aubry-André models
• Dynamical signature of localization-delocalization transition in one-dimensional incommensurate lattice
• Dynamical Anderson transition in one-dimensional periodically kicked incommensurate lattices
• Matter-wave localization in a random potential
• Many-body dynamical phase transition in quasi-periodic potential
• Topological Mott insulators of ultracold atomic mixtures induced by interactions in one-dimensional optical superlattices
• Correlation function of weakly interacting bosons in a disordered lattice
• Localization and mobility edges in the off-diagonal quasiperiodic model with slowly varying potentials
• Topological Properties of Ultracold Bosons in One-Dimensional Quasiperiodic Optical Lattice
• Matter-wave localization in a weakly perturbed optical lattice
• Strongly interacting bosons in multi-chromatic potentials supporting mobility edges: localization, quasi-condensation and expansion dynamics
• Noise Correlation Scalings: Revisiting the Quantum Phase Transition in Incommensurate Lattices with Hard-Core Bosons
• Finite-temperature properties of one-dimensional hard-core bosons in a quasiperiodic optical lattice
• Ground-state and dynamic properties of hard-core bosons in one-dimensional incommensurate optical lattices with harmonic trap
• Phase diagram of a generalized off-diagonal Aubry-André model with p-wave pairing
• Quantum dynamics of hard-core bosons in tilted bichromatic optical lattices
• Almost mobility edges and existence of critical regions in one-dimensional quasiperiodic lattices
• Quantum criticality in disordered bosonic optical lattices
• Barriers to Macroscopic Superfluidity and Insulation in a 2D Aubry-André Model
• Fate of Weyl semimetals in the presence of incommensurate potentials
• Commensurate and incommensurate 1D interacting quantum systems
• Spin-flip induced superfluidity in a ring of spinful hard-core bosons