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Field Quantization for Chaotic Resonators with Overlapping Modes

2001/11/30 by Gregor Hackenbroich, G. Hackenbroich, Carlos Viviescas +3 · 2 citations
Physics and Astronomy · #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #Random lasers and scattering media #cond-mat.mes-hall #quant-ph

paper · pdf · doi:10.1103/physrevlett.89.083902

published as Phys. Rev. Lett. 89, 083902 (2002) · 4 pages, 1 figure

arxiv created 2002/06/24 · openalex publication_date 2002/07/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Feshbach's projector technique is employed to quantize the electromagnetic field in optical resonators with an arbitrary number of escape channels. We find spectrally overlapping resonator modes coupled due to the damping and noise inflicted by the external radiation field. For wave chaotic resonators the mode dynamics is determined by a non-Hermitean random matrix. Upon including an amplifying medium, our dynamics of open-resonator modes may serve as a starting point for a quantum theory of random lasing.

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