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

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    Abstract

    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.

    Original languageEnglish
    Article number114005
    JournalJournal of the Physical Society of Japan
    Volume83
    Issue number11
    DOIs
    Publication statusPublished - Nov 15 2014

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    particle motion
    bosons
    ground state
    excitation
    interactions

    All Science Journal Classification (ASJC) codes

    • Physics and Astronomy(all)

    Cite this

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    title = "Numerical study of the schr{\"o}dinger equation for repulsively interacting particles in an optical lattice and Mott-like states",
    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",
    month = "11",
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    doi = "10.7566/JPSJ.83.114005",
    language = "English",
    volume = "83",
    journal = "Journal of the Physical Society of Japan",
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    number = "11",

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    AU - Li, Ben

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    Y1 - 2014/11/15

    N2 - 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.

    AB - 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.

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