Abstract
A “microscopic” justification of the “symmetric damping” model of a quantum oscillator with time-dependent frequency and time-dependent damping is given. This model is used to predict the results of experiments on simulating the dynamical Casimir effect in a cavity with a photo-excited semiconductor mirror. It is shown that the most general bilinear time-dependent coupling of a selected oscillator (field mode) to a bath of harmonic oscillators results in two equal friction coefficients for the both quadratures, provided all the coupling coefficients are proportional to a single arbitrary function of time whose duration is much shorter than the periods of all oscillators. The choice of coupling in the rotating wave approximation form leads to the “minimum noise” model of the quantum damped oscillator, introduced earlier in a pure phenomenological way.
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*Dedicated to Margarita Alexandrovna Man’ko on the occasion of her 70th birthday.
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Dodonov, V.V. Justification of the “symmetric damping” model of the dynamical Casimir effect in a cavity with a semiconductor mirror*. J Russ Laser Res 31, 152–161 (2010). https://doi.org/10.1007/s10946-010-9134-6
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DOI: https://doi.org/10.1007/s10946-010-9134-6