Quantum theory of dissipation of a harmonic oscillator coupled to a non-equilibrium bath; Wigner-Weisskopf decay and physical spectra

@article{Chaudhuri1998QuantumTO,
  title={Quantum theory of dissipation of a harmonic oscillator coupled to a non-equilibrium bath; Wigner-Weisskopf decay and physical spectra},
  author={Jyotipratim Ray Chaudhuri and Bimalendu Deb and Gautam Gangopadhyay Deb Shankar Ray},
  journal={Journal of Physics B},
  year={1998},
  volume={31},
  pages={3859-3874}
}
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… 
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