Superfluid-Mott insulator transition of spin-1 bosons in optical lattice under magnetic field

Takashi Kimura, Shunji Tsuchiya, Makoto Yamashita, Susumu Kurihara

    Research output: Contribution to journalArticle

    8 Citations (Scopus)

    Abstract

    We study the first- and second-order superfluid-Mott insulator transitions of spin-1 bosons in an optical lattice under a magnetic field by the Gutzwiller approximation. We find that, in contrast to previous perturbative studies, the phase boundary curve continuously changes as a function of magnetic field. We also find a sharp cusp structure on the phase boundary curve under some circumstances. When the phase boundary curve deviates from that obtained with the perturbative studies, the phase transition is a first-order one. We further clarify the specific features of the phase transition in the present system. The order parameters exactly at the boundary point, where the transition changes from first to second order, remain finite under a finite magnetic field and continuously vanish as the magnetic field approaches zero.

    Original languageEnglish
    Article number074601
    JournalJournal of the Physical Society of Japan
    Volume75
    Issue number7
    DOIs
    Publication statusPublished - 2006 Jul

    Fingerprint

    bosons
    insulators
    magnetic fields
    curves
    cusps
    approximation

    Keywords

    • First-order transition
    • Gutzwiller approximation
    • Magnetic field
    • Optical lattice
    • Spin-1 bosons
    • Superfluid-Mott insulator transition

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Superfluid-Mott insulator transition of spin-1 bosons in optical lattice under magnetic field. / Kimura, Takashi; Tsuchiya, Shunji; Yamashita, Makoto; Kurihara, Susumu.

    In: Journal of the Physical Society of Japan, Vol. 75, No. 7, 074601, 07.2006.

    Research output: Contribution to journalArticle

    Kimura, Takashi ; Tsuchiya, Shunji ; Yamashita, Makoto ; Kurihara, Susumu. / Superfluid-Mott insulator transition of spin-1 bosons in optical lattice under magnetic field. In: Journal of the Physical Society of Japan. 2006 ; Vol. 75, No. 7.
    @article{64f63ee3b0b547508cd269c7cfcc3afa,
    title = "Superfluid-Mott insulator transition of spin-1 bosons in optical lattice under magnetic field",
    abstract = "We study the first- and second-order superfluid-Mott insulator transitions of spin-1 bosons in an optical lattice under a magnetic field by the Gutzwiller approximation. We find that, in contrast to previous perturbative studies, the phase boundary curve continuously changes as a function of magnetic field. We also find a sharp cusp structure on the phase boundary curve under some circumstances. When the phase boundary curve deviates from that obtained with the perturbative studies, the phase transition is a first-order one. We further clarify the specific features of the phase transition in the present system. The order parameters exactly at the boundary point, where the transition changes from first to second order, remain finite under a finite magnetic field and continuously vanish as the magnetic field approaches zero.",
    keywords = "First-order transition, Gutzwiller approximation, Magnetic field, Optical lattice, Spin-1 bosons, Superfluid-Mott insulator transition",
    author = "Takashi Kimura and Shunji Tsuchiya and Makoto Yamashita and Susumu Kurihara",
    year = "2006",
    month = "7",
    doi = "10.1143/JPSJ.75.074601",
    language = "English",
    volume = "75",
    journal = "Journal of the Physical Society of Japan",
    issn = "0031-9015",
    publisher = "Physical Society of Japan",
    number = "7",

    }

    TY - JOUR

    T1 - Superfluid-Mott insulator transition of spin-1 bosons in optical lattice under magnetic field

    AU - Kimura, Takashi

    AU - Tsuchiya, Shunji

    AU - Yamashita, Makoto

    AU - Kurihara, Susumu

    PY - 2006/7

    Y1 - 2006/7

    N2 - We study the first- and second-order superfluid-Mott insulator transitions of spin-1 bosons in an optical lattice under a magnetic field by the Gutzwiller approximation. We find that, in contrast to previous perturbative studies, the phase boundary curve continuously changes as a function of magnetic field. We also find a sharp cusp structure on the phase boundary curve under some circumstances. When the phase boundary curve deviates from that obtained with the perturbative studies, the phase transition is a first-order one. We further clarify the specific features of the phase transition in the present system. The order parameters exactly at the boundary point, where the transition changes from first to second order, remain finite under a finite magnetic field and continuously vanish as the magnetic field approaches zero.

    AB - We study the first- and second-order superfluid-Mott insulator transitions of spin-1 bosons in an optical lattice under a magnetic field by the Gutzwiller approximation. We find that, in contrast to previous perturbative studies, the phase boundary curve continuously changes as a function of magnetic field. We also find a sharp cusp structure on the phase boundary curve under some circumstances. When the phase boundary curve deviates from that obtained with the perturbative studies, the phase transition is a first-order one. We further clarify the specific features of the phase transition in the present system. The order parameters exactly at the boundary point, where the transition changes from first to second order, remain finite under a finite magnetic field and continuously vanish as the magnetic field approaches zero.

    KW - First-order transition

    KW - Gutzwiller approximation

    KW - Magnetic field

    KW - Optical lattice

    KW - Spin-1 bosons

    KW - Superfluid-Mott insulator transition

    UR - http://www.scopus.com/inward/record.url?scp=33847407642&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=33847407642&partnerID=8YFLogxK

    U2 - 10.1143/JPSJ.75.074601

    DO - 10.1143/JPSJ.75.074601

    M3 - Article

    AN - SCOPUS:33847407642

    VL - 75

    JO - Journal of the Physical Society of Japan

    JF - Journal of the Physical Society of Japan

    SN - 0031-9015

    IS - 7

    M1 - 074601

    ER -