The Casimir force and the quantum theory of lossy optical cavities

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dc.creatorGenet, Cyriaque
dc.creatorLambrecht, Astrid
dc.creatorReynaud, Serge
dc.date2002-10-25
dc.date2003-02-10
dc.date.accessioned2026-07-07T06:05:19Z
dc.date.available2026-07-07T06:05:19Z
dc.descriptionWe present a new derivation of the Casimir force between two parallel plane mirrors at zero temperature. The two mirrors and the cavity they enclose are treated as quantum optical networks. They are in general lossy and characterized by frequency dependent reflection amplitudes. The additional fluctuations accompanying losses are deduced from expressions of the optical theorem. A general proof is given for the theorem relating the spectral density inside the cavity to the reflection amplitudes seen by the inner fields. This density determines the vacuum radiation pressure and, therefore, the Casimir force. The force is obtained as an integral over the real frequencies, including the contribution of evanescent waves besides that of ordinary waves, and, then, as an integral over imaginary frequencies. The demonstration relies only on general properties obeyed by real mirrors which also enforce general constraints for the variation of the Casimir force.
dc.description18 pages, 6 figures, minor amendments
dc.identifierhttps://arxiv.org/abs/quant-ph/0210174
dc.identifierhttp://arxiv.org/abs/quant-ph/0210174
dc.identifierPhys. Rev. A67 (2003) 043811
dc.identifierdoi:10.1103/PhysRevA.67.043811
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90596
dc.subjectQuantum Physics
dc.titleThe Casimir force and the quantum theory of lossy optical cavities
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