Feynman diagram approach to dynamical Casimir effect in optimechanical cavity

TL;DR

This paper models the dynamical Casimir effect in an optomechanical cavity using Feynman diagrams, analyzing phonon-photon interactions, energy shifts, and radiation pressure correlations.

Contribution

It introduces a Feynman diagram approach to study the dynamical Casimir effect in optomechanical systems, providing new insights into scattering processes and non-Gaussian statistics.

Findings

Energy shift of the ground state calculated

Scattering amplitudes for phonon-photon conversion obtained

Force-force correlation function with non-Gaussian distribution derived

Abstract

In this paper we study an optomechnical system enclosed by an optical cavity with one mirror attached to a spring as a closed quantum system. We provide a different angle of studying the phenomenons related to the dynamical Casimir effect via Feynman diagram technique. Dressing effects of phonon, photon and coupling strength are discussed. The energy shift of ground state is obtained. The dynamical Casimir effect is modeled by the scattering processes converting phonons to photons and the corresponding scattering amplitudes are computed. The force-force correlation function of the radiation pressure is derived, whose non-Gaussian probability distribution is revealed.