Abstract

In this paper we give a first principles microphysics derivation of the nonequilibrium forces between an atom, treated as a three-dimensional harmonic oscillator, and a bulk dielectric medium modeled as a continuous lattice of oscillators coupled to a reservoir. We assume no direct interaction between the atom and the medium but there exist mutual influences transmitted via a common electromagnetic field. By employing concepts and techniques of open quantum systems we introduce coarse-graining to the physical variables-the medium, the quantum field, and the atom s internal degrees of freedom, in that order-to extract their averaged effects from the lowest tier progressively to the top tier. The first tier of coarse-graining provides the averaged effect of the medium upon the field, quantified by a complex permittivity (in the frequency domain) describing the response of the dielectric to the field in addition to its back action on the field through a stochastic forcing term. The last tier of coarse-graining over the atom s internal degrees of freedom results in an equation of motion for the atom s center of mass from which we can derive the force on the atom. Our nonequilibrium formulation provides a fully dynamical description of the atom s motion including back-action effects from all other relevant variables concerned. In the long-time limit we recover the known results for the atom-dielectric force when the combined system is in equilibrium or in a nonequilibrium stationary state.

Publication Details
Author
Publication Type
Journal Article
Year of Publication
2011
Volume
84
DOI
10.1103/PhysRevA.84.012902
Journal
Physical Review A
Contributors