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Non-Markovian dynamics of mixed fermionic-bosonic systems: Rotating-wave-approximation coupling

V. V. SargsyanInstitut für Theoretische Physik der Justus–Liebig–Universität, D-35392 Giessen, GermanyG. G. AdamianJoint Institute for Nuclear Research, 141980 Dubna, RussiaN. V. AntonenkoJoint Institute for Nuclear Research, 141980 Dubna, RussiaDenis LacroixInstitut de Physique Nucléaire, IN2P3-CNRS, Université Paris-Sud, F-91406 Orsay Cedex, France
2017en
ABI

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Employing quadratic fermionic and bosonic Hamiltonians for collective and internal subsystems with a linear rotating-wave-approximation coupling, we studied the role of heat-bath statistics on the dynamics of the collective motion. The master equations for the collective occupation number derived directly from the quadratic Hamiltonians and within the Non-Markovian Langevin approach are discussed and their solutions are obtained. Because of the different nature of the heat-bath statistics, the path to equilibrium or the relaxation time is affected as shown in the numerical calculations.

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