Ground-state and dynamic properties of hard-core bosons in one-dimensional incommensurate optical lattices with harmonic trap

Abstract

We study properties of the strongly repulsive Bose gas on one-dimensional incommensurate optical lattices with a harmonic trap, which can be deal with by using the exact numerical method through the Bose-Fermi mapping. We first exploit the phase transition of the hard-core bosons in the optical lattices from superfluid-to-Bose-glass phase as the strength of the incommensurate potential increases. Then we study the dynamical properties of the system after suddenly switching off the harmonic trap. We calculate the one-particle density matrices, momentum distributions, the natural orbitals and their occupations for both the static and dynamic systems. Our results indicate that the Bose-glass phase and superfluid phase display quite different properties and expansion dynamics.

7 pages, 6 figures

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Cited by in corpus (9)

• Edge states and topological phases in one-dimensional optical superlattices
• Dynamical Anderson transition in one-dimensional periodically kicked incommensurate lattices
• Topological Mott insulators of ultracold atomic mixtures induced by interactions in one-dimensional optical superlattices
• Topological Properties of Ultracold Bosons in One-Dimensional Quasiperiodic Optical Lattice
• Strongly interacting bosons in multi-chromatic potentials supporting mobility edges: localization, quasi-condensation and expansion dynamics
• Modulated trapping of interacting bosons in one dimension
• Quantum dynamics of hard-core bosons in tilted bichromatic optical lattices
• Quantum criticality in disordered bosonic optical lattices
• Types of dynamical behavior in a quasiperiodic mosaic lattice