Quantum fluctuations of the friction force induced by the dynamical Casimir emission

Abstract

We study a quantum model of dynamical Casimir effect in an optical cavity enclosed by a freely moving mirror attached to a harmonic spring. The quantum fluctuations of the friction force exerted by the dynamical Casimir emission onto the moving mirror are investigated, as well as their consequences on the quantum state of the mirror oscillation. Observable signatures of the interplay of the nonlinear nature of the effective mirror-cavity coupling and of the discreteness of the emitted photons are pointed out, in particular as a fast diffusion of the mirror oscillation phase. These results are interpreted in the language of quantum field theories on curved space-times as a breakdown of the standard semiclassical theory of the backreaction.

arXiv comment7 pages, 5 figures

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• Cosmological Particle Production: A Review
• Zero-point excitation of a circularly moving detector in an atomic condensate and phonon laser dynamical instabilities
• Numerical studies of back-reaction effects in an analog model of cosmological pre-heating
• Influence functional for two mirrors interacting via radiation pressure
• Long time universality of black-hole lasers
• Noise and dissipation on a moving mirror induced by the dynamical Casimir emission
• Optomechanical Backreaction of Quantum Field Processes in Dynamical Casimir Effect
• Corrections to the Optomechanical Hamiltonian from Quadratic Fluctuations of a Moving Mirror
• Foundational Issues in Dynamical Casimir Effect and Analogue Features in Cosmological Particle Creation
• Quantum backreaction in an analog black hole