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arXiv:1207.3881 · Canadian Journal of Physics

Coupled quantum oscillators within independent quantum reservoirs

Illarion Dorofeyev

Published Mar 14, 2013• 16 citations
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Abstract

This paper addresses the problem of open quantum systems. The energy of interaction of coupled dissipative systems is the main focus of the study. Quantum Langevin equations for two quantum coupling oscillators within independent heat baths of quantum oscillators are obtained using a model Hamiltonian and corresponding Heisenberg equations of motion. Analytical expressions for mean energy of coupled oscillators and their mean energy of interaction are derived and analyzed. Nonmonotonic dependence of the interaction energy versus a coupling constant is demonstrated and an explanation is suggested.

DOI
10.1139/cjp-2012-0524

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This paper addresses the problem of open quantum systems. The energy of interaction of coupled dissipative systems is the main focus of the study. Quantum Langevin equations for two quantum coupling oscillators within independent heat baths of quantum oscillators are obtained using a model Hamiltonian and corresponding Heisenberg equations of motion. Analytical expressions for mean energy of coupled oscillators and their mean energy of interaction are derived and analyzed. Nonmonotonic dependence of the interaction energy versus a coupling constant is demonstrated and an explanation is suggested.
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