Asymptotical photon distributions in the dissipative Dynamical Casimir Effect

TL;DR

This paper derives asymptotic formulas for the photon distribution in a damped quantum oscillator with time-varying parameters, predicting statistical properties relevant for upcoming Dynamical Casimir Effect experiments.

Contribution

It introduces new asymptotic formulas for photon distributions in a dissipative quantum oscillator with time-dependent parameters, applicable to thermal initial states.

Findings

Formulas applicable to large mean photon numbers

Predictions for statistical properties in Dynamical Casimir Effect experiments

Analysis of different excitation regimes of thermal states

Abstract

Asymptotical formulas for the photon distribution function of a quantum oscillator with time-dependent frequency and damping coefficients, interacting with a thermal reservoir, are derived in the case of a large mean number of quanta. Different regimes of excitation of an initial thermal state with an arbitrary temperature are considered. New formulas are used to predict the statistical properties of the electromagnetic field created in the experiments on the Dynamical Casimir Effect which are now under preparation.