Nonequilibrium Casimir-Polder Force in Non-Stationary Systems
arXiv:0907.3212 · doi:10.1088/1751-8113/43/1/012001
Abstract
Recently the Casmir-Polder force felt by an atom near a substrate under nonequilibrium stationary conditions has been studied theoretically with macroscopic quantum electrodyanamics (MQED) and verified experimentally with cold atoms. We give a quantum field theory derivation of the Langevin equation describing the atom's motion based on the influence functional method valid for fully nonequilibrium (nonstationary) conditions. The noise associated with the quantum field derived from first principles is generally colored and nonlocal, which is at variance with the `local source hypothesis' of MQED's generalization to nonequilibrium conditions. Precision measurements on the shape deformation of an atomic gas as a function of its distance from a mirror would provide a direct check of our predictions based on this Langevin equation.
Rewritten Introduction and Abstract in v2 with a slightly altered title to place a sharper focus of our goals and a clearer distinction of what the influence functional method can achieve beyond the macroscopic QED approach. The rest of the paper and the results remain the same
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- Internal Quantum Dynamics of a Nanoparticle in a Thermal Electromagnetic Field: a Minimal Model
- Non-local double-path Casimir phase in atom interferometers
- Dynamical local and non-local Casimir atomic phases
- Nonequilibrium Casimir-Polder plasmonic interactions
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- On non-equilibrium photon distributions in the Casimir effect
- Dynamical Casimir effects with atoms: from the emission of photon pairs to geometric phases
- Radiation Reaction of a Jiggling Dipole in a Quantum Electromagnetic Field
- Atom-Field-Medium Interactions I: Graded Influence Actions for Harmonic Atoms in a Dielectric-Altered Quantum Field
- Casimir-Polder force for a polarizable molecule near a dielectric substrate out of thermal equilibrium