Vacuum fluctuations and moving atoms/detectors: From Casimir-Polder to Unruh effect

Abstract

In this note we report on some new results \cite{SHP} on corrections to the Casimir-Polder \cite{caspol} retardation force due to atomic motion and present a preliminary (unpublished) critique on one recently proposed cavity QED detection scheme of Unruh effect \cite{Unr76}. These two well-known effects arise from the interaction between a moving atom or detector with a quantum field under some boundary conditions introduced by a conducting mirror/cavity or dielectric wall. The Casimir-Polder force is a retardation force on the atom due to the dressing of the atomic ground state by the vacuum electromagnetic field in the presence of a conducting mirror or dielectric wall. We have recently provided an improved calculation by treating the mutual influence of the atom and the (constrained) field in a self-consistent way. For an atom moving adiabatically, perpendicular to a mirror, our result finds a coherent retardation correction up to twice the stationary value. Unruh effect refers loosely to the fact that a uniformly accelerated detector feels hot. Two prior schemes have been proposed for the detection of `Unruh radiation', based on charged particles in linear accelerators and storage rings. Here we are interested in a third scheme proposed recently by Scully {\it et al} \cite{Scully03} involving the injection of accelerated atoms into a microwave or optical cavity. We analyze two main factors instrumental to the purported success in this scheme, the cavity factor and the sudden switch-on factor. We conclude that the effects engendered from these factors are unrelated to the Unruh effect.

to appear in J. of Optics B -- condensed matter

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• Near-horizon aspects of acceleration radiation by free fall of an atom into a black hole
• Vacuum effects in a vibrating cavity: time refraction, dynamical Casimir effect, and effective Unruh acceleration
• Microscopic dynamical Casimir effect
• Dispersion Interactions between Neutral Atoms and the Quantum Electrodynamical Vacuum
• The equivalence principle and QFT: Can a particle detector tell if we live inside a hollow shell?
• Nonequilibrium dynamics of moving mirrors in quantum fields: Influence functional and Langevin equation
• Relativity and quantum optics: accelerated atoms in optical cavities
• Fluctuations of the Casimir-Polder force between an atom and a conducting wall
• A Wavefunction Description for a Localized Quantum Particle in Curved Spacetimes
• Casimir forces and quantum friction of finite-size atoms in relativistic trajectories
• Time-dependent Maxwell field operators and field energy density for an atom near a conducting wall
• Time-dependent resonance interaction energy between two entangled atoms under non-equilibrium conditions
• Enhancement and Suppression of Decay Rates in an Accelerated Fermionic Cavity Coupled to a Massive Field