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Quantum statistics of overlapping modes in open resonators

Gregor Hackenbroich·Carlos Viviescas·Fritz Haake
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Abstract

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.

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Gregor Hackenbroich, Carlos Viviescas, Fritz Haake. 2004-02-13. Quantum statistics of overlapping modes in open resonators. https://doi.org/10.1103/physreva.68.063805

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