Enhancement of thermal Casimir-Polder potentials of ground-state polar molecules in a planar cavity

Abstract

We analyze the thermal Casimir-Polder potential experienced by a ground-state molecule in a planar cavity and investigate the prospects for using such a set-up for molecular guiding. The resonant atom-field interaction associated with this non-equilibrium situation manifests itself in oscillating, standing-wave components of the potential. While the respective potential wells are normally too shallow to be useful, they may be amplified by a highly reflecting cavity whose width equals a half-integer multiple of a particular molecular transition frequency. We find that with an ideal choice of molecule and the use of ultra-high reflectivity Bragg mirror cavity, it may be possible to boost the potential by up to two orders of magnitude. We analytically derive the scaling of the potential depth as a function of reflectivity and analyze how it varies with temperature and molecular properties. It is also shown how the potential depth decreases for standing waves with a larger number of nodes. Finally, we investigate the lifetime of the molecular ground state in a thermal environment and find that it is not greatly influenced by the cavity and remains in the order of several seconds.

12 pages, 10 figures, minor corrections

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• Casimir-Polder forces on moving atoms
• Casimir-Polder potential and transition rate in resonating cylindrical cavities
• A Stern-Gerlach separator of chiral enantiomers based on the Casimir-Polder potential
• Casimir-Polder effect with thermally excited surfaces