Non-Markovian effects in dissipative systems

Eliade N. Stefanescu; Paul E. Sterian

doi:10.1117/12.312679

2 July 1998 Non-Markovian effects in dissipative systems

Eliade N. Stefanescu, Paul E. Sterian

Proceedings Volume 3405, ROMOPTO '97: Fifth Conference on Optics; (1998) https://doi.org/10.1117/12.312679
Event: ROMOPTO '97: Fifth Conference on Optics, 1997, Bucharest, Romania

Abstract

In a unitary approach generally used in quantum optics, we consider Lindblad's Markovian master equation and the non- Markovian master equation of Ford, Lewis and O'Connell. We show that the second-order master equation in the hierarchy obtained from a Krylov-Bogoliubov expansion corresponds to the Born approximation. By time averaging, and neglecting the rapidly varying terms, Lindblad's master equation is obtained. With these two equations, we calculate the decay spectrum. We find that for rather low dissipated energies, only the non-Markovian master equation provides correct results. Based on the independent oscillator model of the dissipative coupling, explicit expressions of the dissipative coefficients are obtained.

Citation Download Citation

Eliade N. Stefanescu and Paul E. Sterian "Non-Markovian effects in dissipative systems", Proc. SPIE 3405, ROMOPTO '97: Fifth Conference on Optics, (2 July 1998); https://doi.org/10.1117/12.312679

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