Non-Markovian dynamics with fermions

V. V. Sargsyan, G. G. Adamian, N. V. Antonenko, and D. Lacroix
Phys. Rev. A 90, 022123 – Published 26 August 2014

Abstract

Employing the quadratic fermionic Hamiltonians for the collective and internal subsystems with a linear coupling, we studied the role of fermionic statistics on the dynamics of the collective motion. The transport coefficients are discussed as well as the associated fluctuation-dissipation relation. Due to different nature of the particles, the path to equilibrium is slightly affected. However, in the weak-coupling regime, the time scale for approaching equilibrium is found to be globally unchanged. The Pauli-blocking effect can modify the usual picture in open quantum system. In some limits, contrary to boson, this effect can strongly hinder the influence of the bath by blocking the interacting channels.

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  • Received 18 June 2014

DOI:https://doi.org/10.1103/PhysRevA.90.022123

©2014 American Physical Society

Authors & Affiliations

V. V. Sargsyan1, G. G. Adamian1, N. V. Antonenko1, and D. Lacroix2

  • 1Joint Institute for Nuclear Research, 141980 Dubna, Russia
  • 2Institut de Physique Nucléaire, IN2P3-CNRS, Université Paris-Sud, F-91406 Orsay Cedex, France

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Issue

Vol. 90, Iss. 2 — August 2014

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