Coupled quantum oscillators within independent quantum reservoirs

Abstract

System of the 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. 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 explained. Nontrivial dependence of the quantities as a consequence of the difference in temperatures of heat baths is shown.

13 pages, 3 figures

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Cited by in corpus (7)

• Partly invariant steady state of two interacting open quantum systems
• Quasi-equilibrium relaxation of two identical quantum oscillators with arbitrary coupling strength
• Dynamics and stationarity of two coupled arbitrary oscillators interacting with separate reservoirs
• Relaxation of two coupled quantum oscillators to quasi-equilibrium states based on path integrals
• Dynamics of two externally driven coupled quantum oscillators interacting with separate baths based on path integrals
• Langevin Equation for a Dissipative Macroscopic Quantum System: Bohmian Theory versus Quantum Mechanics
• Heat transfer and entanglement -- non-equilibrium correlation spectra of two quantum oscillators