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    Dynamical thermalization in isolated quantum dots and black holes

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    DOI:
    10.1209/0295-5075/117/10003
    URI (for links/citations):
    http://iopscience.iop.org/issue/0295-5075/117/1
    http://elib.sfu-kras.ru/handle/2311/70241
    Author:
    Andrey R. Kolovsky
    Dima L. Shepelyansky
    Corporate Contributor:
    Институт инженерной физики и радиоэлектроники
    Кафедра теоретической физики и волновых явлений
    Date:
    2017-01
    Journal Name:
    Europhysics Letters
    Journal Quartile in Scopus:
    Q2
    Journal Quartile in Web of Science:
    Q2
    Bibliographic Citation:
    Andrey R. Kolovsky. Dynamical thermalization in isolated quantum dots and black holes [Текст] / Andrey R. Kolovsky, Dima L. Shepelyansky // Europhysics Letters. — 2017. — Т. 117 (№ 1). — С. 10003-p1-10003-p7

    Текст статьи не публикуется в открытом доступе в соответствии с политикой журнала.

    Abstract:
    We study numerically a model of quantum dot with interacting fermions. At strong interactions with small conductance the model is reduced to the Sachdev-Ye-Kitaev black-hole model while at weak interactions and large conductance it describes a Landau-Fermi liquid in a regime of quantum chaos. We show that above the ̊Aberg threshold for interactions there is an onset of dynamical themalization with the Fermi-Dirac distribution describing the eigenstates of an isolated dot. At strong interactions in the isolated black-hole regime there is also the onset of dynamical thermalization with the entropy described by the quantum Gibbs distribution. This dynamical thermalization takes place in an isolated system without any contact with a thermostat. We discuss the possible realization of these regimes with quantum dots of 2D electrons and cold ions in optical lattices.
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