Static and Dynamic Casimir Effect Instabilities

Abstract

The static Casimir effect concerns quantum electrodynamic induced Lamb shifts in the mode frequencies and thermal free energies of condensed matter systems. Sometimes, the condensed matter constitutes the boundaries of a vacuum region. The static frequency shift effects have been calculated in the one photon loop perturbation theory approximation. The dynamic Casimir effect concerns two photon radiation processes arising from time dependent frequency modulations again computed in the one photon loop approximation. Under certain conditions the one photon loop computation may become unstable and higher order terms must be invoked to achieve stable solutions. This stability calculation is discussed for a simple example dynamical Casimir effect system.

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Cited by in corpus (8)

• Current status of the Dynamical Casimir Effect
• Approximate analytical results on the cavity dynamical Casimir effect in the presence of a two-level atom
• Microscopic toy model for Cavity dynamical Casimir effect
• Dynamical Casimir Effect for Two Oscillating Mirrors in 3-D
• The influence of temporal coherence on the dynamical Casimir effect
• Enhancement of particle creation in nonlinear resonant cavities
• Dynamical Casimir effect via modulated Kerr or higher nonlinearities
• Dynamical Casimir Effect for a Swinging Cavity