Volume 117, Number 1, January 2017
|Number of page(s)||7|
|Published online||20 February 2017|
Dynamical thermalization in isolated quantum dots and black holes
1 Kirensky Institute of Physics - 660036 Krasnoyarsk, Russia
2 Siberian Federal University - 660041 Krasnoyarsk, Russia
3 Laboratoire de Physique Théorique du CNRS (IRSAMC), Université de Toulouse, UPS F-31062 Toulouse, France
Received: 20 December 2016
Accepted: 2 February 2017
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 Åberg 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.
PACS: 05.45.Mt – Quantum chaos; semiclassical methods / 04.60.-m – Quantum gravity / 78.67.Hc – Quantum dots
© EPLA, 2017
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