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Nonstationary quantum parametrical processes

This work deals with the spectral problems for multimode effective hamiltonians of quantum parametric processes. Also we investigate statistical properties of parametric radiation and improve photodetection protocols if its state.

Dynamical Casimir Effect is a relativistic process of photons creation out of vacuum due to the accelerated motion of the cavity mirrors or changing electromagnetic properties of intracavity media. We introduce the indirect measurement protocol for detection of Casimir field statistical properties.

Figure 1: Entangled photon pair generation in Dynamical Casimir Effect and their detection in indirect measurement scheme;

Figure 2: Photodetection probability and mean photon numer for intracavity mode under single mode approximation (comparison between analitycal estimations and numerical calculations)

Figure 3: Probabilistic distribution of photon number in intracavity mode under single mode approximation (comparison between analitycal estimations and numerical calculations)

Figure 4: Quadratures dispersion under single mode approximation (comparison between analitycal estimations and numerical calculations)