Effects of finite temperature on the robustness of the Mott insulator phase in a pseudo-two-dimensional Bose-Hubbard model

Motoyoshi Inoue, Keita Kobayashi, Yusuke Nakamura, Yoshiya Yamanaka

    Research output: Contribution to journalArticle

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    Abstract

    We study the superfluid-Mott insulator (SF-MI) transition in a two-dimensional optical lattice system and employ the Bose-Hubbard model in three dimensions with a combined potential of an optical lattice in two directions and a confining harmonic trap in the other direction, which we refer to as the pseudo-two-dimensional Bose-Hubbard model. Some excited states with respect to the harmonic trap are taken into account in this paper. The Mott lobes shrink in the μ and J directions of the μ-J phase diagram. The shrinkage occurs because the interactions involving the excited states become weaker than that between particles in the ground state. The dispersion of the in-site particle number increases because the energy spacing between the eigenstates of the Hamiltonian decreases at finite temperature. The presence of the excited states significantly affects the robustness of the MI phase at finite temperature.

    Original languageEnglish
    Article number165303
    JournalJournal of Physics B: Atomic, Molecular and Optical Physics
    Volume44
    Issue number16
    DOIs
    Publication statusPublished - 2011 Aug 28

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    insulators
    traps
    excitation
    harmonics
    shrinkage
    lobes
    confining
    temperature
    eigenvectors
    spacing
    phase diagrams
    ground state
    interactions
    energy

    ASJC Scopus subject areas

    • Condensed Matter Physics
    • Atomic and Molecular Physics, and Optics

    Cite this

    Effects of finite temperature on the robustness of the Mott insulator phase in a pseudo-two-dimensional Bose-Hubbard model. / Inoue, Motoyoshi; Kobayashi, Keita; Nakamura, Yusuke; Yamanaka, Yoshiya.

    In: Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 44, No. 16, 165303, 28.08.2011.

    Research output: Contribution to journalArticle

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    AU - Yamanaka, Yoshiya

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