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Harmonic oscillator model for the atom-surface Casimir-Polder interaction energy
Lucia RizzutoSalvatore SpagnoloSatoshi TanakaRoberto PassanteTomio Petroskysubject
PhysicsQuantum PhysicsAtom-field interactionsAnharmonicityContinuous spectrumFOS: Physical sciencesInteraction energyAtomic and Molecular Physics and OpticsCasimir effectsymbols.namesakeCasimir-Polder energyQuantum harmonic oscillatorQuantum mechanicssymbolsBoundary value problemQuantum Physics (quant-ph)Hamiltonian (quantum mechanics)Harmonic oscillatordescription
In this paper we consider a quantum harmonic oscillator interacting with the electromagnetic radiation field in the presence of a boundary condition preserving the continuous spectrum of the field, such as an infinite perfectly conducting plate. Using an appropriate Bogoliubov-type transformation we can diagonalize exactly the Hamiltonian of our system in the continuum limit and obtain non-perturbative expressions for its ground-state energy. From the expressions found, the atom-wall Casimir-Polder interaction energy can be obtained, and well-know lowest-order results are recovered as a limiting case. Use and advantage of this method for dealing with other systems where perturbation theory cannot be used is also discussed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-01-01 | Physical Review A |