Microscopic reversibility of quantum open systems

Takaaki Monnai*


    研究成果: Article査読

    6 被引用数 (Scopus)


    The transition probability of an isolated system for a time-dependent unitary evolution is invariant under the reversal of protocols. In this paper, we generalize the expression of microscopic reversibility to externally perturbed large quantum open systems, which provides a model-independent equality between time forward and reversed joint transition probabilities. A time-dependent external perturbation acts on the subsystem during a transient duration, and subsequently the perturbation is switched off so that the total system would thermalize. We concern ourselves with the net transition probability for the subsystem from the initial to final states after a time evolution during which the energy is irreversibly exchanged between the subsystem and reservoir. The time-reversed probability is given by the reversal of the forcing protocol and the initial ensemble. Microscopic reversibility equates the time forward and reversed probabilities, and therefore appears as a thermodynamic symmetry for open quantum systems.

    ジャーナルJournal of Physics A: Mathematical and Theoretical
    出版ステータスPublished - 2012 3月 30

    ASJC Scopus subject areas

    • 数理物理学
    • 物理学および天文学(全般)
    • 統計物理学および非線形物理学
    • モデリングとシミュレーション
    • 統計学および確率


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