Generic evaluation of relaxation time for quantum many-body systems: Analysis of the system size dependence

Takaaki Monnai

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    11 Citations (Scopus)


    General evaluation of the relaxation time to equilibrium remains as a subtle unsolved problem, partially because of its possible dependence on the specific features of models. We evaluate the relaxation time of expectation values for generic isolated quantum many-body systems, and especially show that it at most polynomially depends on the system size. This provides a first model-independent quantitative analysis of the relaxation time. The estimation holds when the Hamiltonian is non-integrable, the initial deviation of the quantity of interest is order of its spectral norm defined on a finite space, and the relaxation process is essentially monotonic.

    Original languageEnglish
    Article number044006
    JournalJournal of the Physical Society of Japan
    Issue number4
    Publication statusPublished - 2013 Apr



    • Macroscopic quantum systems
    • Non-conservative quantities
    • Relaxation time

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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