2003/09/30 by Gregor Hackenbroich, Carlos Viviescas, Fritz Haake · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Classical mechanics #Langevin equation #Laser #Limit (mathematics) #Master equation #Mathematical analysis #Mathematics #Neural Networks and Reservoir Computing #Optical cavity #Optics #Physics #Quantization (signal processing) #Quantum #Quantum dynamics #Quantum mechanics #Quantum optics and atomic interactions #Random lasers and scattering media #Resonator #Statistical physics #Statistics #quant-ph
paper · pdf · doi:10.1103/physreva.68.063805
published as Phys. Rev. A 68, 063805 (2003) · 6 pages, corrected typos
openalex publication_date 2003/12/04 · arxiv created 2004/02/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.