Quantum statistics of overlapping modes in open resonators

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.

arXiv comment6 pages, corrected typos

References in corpus (6)

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• Field quantization for open optical cavities
• Field quantization for chaotic resonators with overlapping modes
• Is the concept of the non-Hermitian effective Hamiltonian relevant in the case of potential scattering?
• Quantum theory of excess noise
• Quantum Langevin theory of excess noise

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