Ideal quantum gas in an expanding cavity: Nature of nonadiabatic force

K. Nakamura, S. K. Avazbaev, Z. A. Sobirov, D. U. Matrasulov, T. Monnai

    Research output: Contribution to journalArticle

    11 Citations (Scopus)

    Abstract

    We consider a quantum gas of noninteracting particles confined in the expanding cavity and investigate the nature of the nonadiabatic force which is generated from the gas and acts on the cavity wall. First, with use of the time-dependent canonical transformation, which transforms the expanding cavity to the nonexpanding one, we can define the force operator. Second, applying the perturbative theory, which works when the cavity wall begins to move at time origin, we find that the nonadiabatic force is quadratic in the wall velocity and thereby does not break the time-reversal symmetry, in contrast with general belief. Finally, using an assembly of the transitionless quantum states, we obtain the nonadiabatic force exactly. The exact result justifies the validity of both the definition of the force operator and the issue of the perturbative theory. The mysterious mechanism of nonadiabatic transition with the use of transitionless quantum states is also explained. The study is done for both cases of the hard- and soft-wall confinement with the time-dependent confining length.

    Original languageEnglish
    Article number041133
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume83
    Issue number4
    DOIs
    Publication statusPublished - 2011 Apr 28

    Fingerprint

    Cavity
    cavities
    gases
    Quantum State
    operators
    Canonical Transformation
    Time Reversal
    Operator
    Exact Results
    confining
    Justify
    assembly
    Gas
    Transform
    Symmetry
    symmetry

    ASJC Scopus subject areas

    • Condensed Matter Physics
    • Statistical and Nonlinear Physics
    • Statistics and Probability

    Cite this

    Ideal quantum gas in an expanding cavity : Nature of nonadiabatic force. / Nakamura, K.; Avazbaev, S. K.; Sobirov, Z. A.; Matrasulov, D. U.; Monnai, T.

    In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 83, No. 4, 041133, 28.04.2011.

    Research output: Contribution to journalArticle

    Nakamura, K. ; Avazbaev, S. K. ; Sobirov, Z. A. ; Matrasulov, D. U. ; Monnai, T. / Ideal quantum gas in an expanding cavity : Nature of nonadiabatic force. In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2011 ; Vol. 83, No. 4.
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