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Phys. Rev. A 68, 063805 (2003) [6 pages]

Quantum statistics of overlapping modes in open resonators

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Gregor Hackenbroich, Carlos Viviescas, and Fritz Haake
Fachbereich Physik, Universität Duisburg-Essen, 45117 Essen, Germany

Received 2 September 2003; published 4 December 2003

We study the quantum dynamics of optical fields in weakly confining resonators with overlapping modes. Employing a recently developed quantization scheme involving a discrete set of resonator modes and continua of external modes we derive Langevin equations and a master equation for the resonator modes. Langevin dynamics and the master equation are proved to be equivalent in the Markovian limit. Our open-resonator dynamics may be used as a starting point for a quantum theory of random lasers.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.68.063805
DOI:
10.1103/PhysRevA.68.063805
PACS:
42.55.Ah, 42.50.Ar, 42.60.Da, 42.55.Zz