Phys. Rev. Lett. 82, 3787–3790 (1999)Quantized Atom-Field Dynamics in Unstable CavitiesReceived 24 August 1998; published in the issue dated 10 May 1999 We develop a quantum description for the dynamics of a single atom inside an unstable optical resonator. For spherical mirrors with a finite Gaussian aperture we find a discrete complete set of normalizable eigenmodes, their biorthogonal adjoint modes, eigenfrequencies, decay rates, and overlap integrals. With these modes we formulate a quantum description for the coupled dynamics of the field and a single atom inside the resonator. We find a strongly geometry and position dependent nonexponential decay probability. Under certain special conditions one gets a modified single-mode description incorporating the Petermann excess noise factor K even on a single-atom level. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.82.3787
DOI:
10.1103/PhysRevLett.82.3787
PACS:
42.50.-p, 32.80.-t, 42.25.Bs, 42.60.Da
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