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

Abstract

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.

Original language	English
Article number	012114
Journal	Physical Review A
Volume	96
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevA.96.012114
Publication status	Published - 13 Jul 2017

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.96.012114

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title = "Non-Markovian dynamics of mixed fermionic-bosonic systems: Rotating-wave-approximation coupling",

abstract = "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.",

author = "Sargsyan, {V. V.} and Adamian, {G. G.} and Antonenko, {N. V.} and D. Lacroix",

year = "2017",

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doi = "10.1103/PhysRevA.96.012114",

language = "English",

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AU - Sargsyan, V. V.

AU - Adamian, G. G.

AU - Antonenko, N. V.

AU - Lacroix, D.

PY - 2017/7/13

Y1 - 2017/7/13

N2 - 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.

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

Abstract

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