Quantum theory of dissipation of a harmonic oscillator coupled to a non-equilibrium bath; Wigner-Weisskopf decay and physical spectra
Abstract
We extend the quantum theory of dissipation in the context of a system-reservoir model, where the reservoir in question is kept in a non-equilibrium condition. Based on a systematic separation of time scales involved in the dynamics, appropriate generalizations of the fluctuation-dissipation and Einstein's relations have been pointed out. We show that the Wigner-Weisskopf decay of the system mode results in a rate constant which, depending on the relaxation of a non-equilibrium bath, is dynamically modified. We also calculate the time-dependent spectra of a cavity mode with a suitable gain when the cavity is kept in contact with a non-equilibrium bath.
- Publication:
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Journal of Physics B Atomic Molecular Physics
- Pub Date:
- September 1998
- DOI:
- 10.1088/0953-4075/31/17/011
- arXiv:
- arXiv:physics/9902037
- Bibcode:
- 1998JPhB...31.3859C
- Keywords:
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- Physics - Optics;
- Condensed Matter - Statistical Mechanics;
- Quantum Physics
- E-Print:
- Plain Latex, 28 pages, 2 PS figures