Justification of the symmetric damping model of the dynamical Casimir effect in a cavity with a semiconductor mirror

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 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 "mimimum noise" model of the quantum damped oscillator, introduced earlier in a pure phenomenological way.

arXiv comment9 pages, typos corrected, corresponds to the published version, except for the reference style

References in corpus (8)

• The dynamical Casimir effect in a superconducting coplanar waveguide
• Motion Induced Radiation from a Vibrating Cavity
• Quantum vacuum radiation spectra from a semiconductor microcavity with a time-modulated vacuum Rabi frequency
• Control of the Casimir force by the modification of dielectric properties with light
• Extracavity quantum vacuum radiation from a single qubit
• A novel experimental approach for the detection of the dynamic Casimir effect
• Dynamical Casimir effect at finite temperature
• Creation of photons in an oscillating cavity with two moving mirrors