Numerical study of the schrödinger equation for repulsively interacting particles in an optical lattice and Mott-like states

    研究成果: ジャーナルへの寄稿記事

    抄録

    We propose imaginary-time evolution equations to numerically obtain the ground state, excited states, and Bloch states of the Schrödinger equations of more than one particle. The method is applied to the Schrödinger equation of two or three bosons interacting repulsively in an optical lattice. When the repulsive interaction is sufficiently strong, each lattice point is occupied by one particle and particle motion is suppressed, which corresponds to a Mott-like state. A dynamical response of the Mott-like state to a weak additional periodic potential is also studied.

    元の言語英語
    記事番号114005
    ジャーナルjournal of the physical society of japan
    83
    発行部数11
    DOI
    出版物ステータス出版済み - 11 15 2014

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    particle motion
    bosons
    ground state
    excitation
    interactions

    All Science Journal Classification (ASJC) codes

    • Physics and Astronomy(all)

    これを引用

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    abstract = "We propose imaginary-time evolution equations to numerically obtain the ground state, excited states, and Bloch states of the Schr{\"o}dinger equations of more than one particle. The method is applied to the Schr{\"o}dinger equation of two or three bosons interacting repulsively in an optical lattice. When the repulsive interaction is sufficiently strong, each lattice point is occupied by one particle and particle motion is suppressed, which corresponds to a Mott-like state. A dynamical response of the Mott-like state to a weak additional periodic potential is also studied.",
    author = "Hidetsugu Sakaguchi and Ben Li",
    year = "2014",
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    doi = "10.7566/JPSJ.83.114005",
    language = "English",
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    journal = "Journal of the Physical Society of Japan",
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