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Field quantization for chaotic resonators with overlapping modes.

Gregor Hackenbroich1, Carlos Viviescas, Fritz Haake

  • 1Universität Essen, Fachbereich 7, 45117 Essen, Germany.

Physical Review Letters
|August 23, 2002
PubMed
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We quantize electromagnetic fields in optical resonators using Feshbach

Area of Science:

  • Quantum optics
  • Wave chaos theory
  • Electromagnetism

Background:

  • Quantizing electromagnetic fields in optical resonators is crucial for understanding light-matter interactions.
  • Open resonators with multiple escape channels present unique challenges due to coupling effects.
  • Wave chaotic resonators exhibit complex mode dynamics influenced by external fields.

Purpose of the Study:

  • To employ Feshbach's projector technique for quantizing electromagnetic fields in open optical resonators.
  • To investigate the coupling and dynamics of resonator modes influenced by damping and noise.
  • To explore the potential for a quantum theory of random lasing by incorporating amplifying media.

Main Methods:

  • Application of Feshbach's projector technique.

Related Experiment Videos

  • Analysis of spectrally overlapping resonator modes.
  • Modeling mode dynamics using non-Hermitean random matrices for wave chaotic systems.

    • Main Results:

    • Demonstrated quantization of electromagnetic fields in open optical resonators with multiple escape channels.
    • Identified spectrally overlapping resonator modes coupled by damping and noise from external fields.
    • Characterized the mode dynamics in wave chaotic resonators using non-Hermitean random matrices.

    Conclusions:

    • The developed model provides a framework for understanding the behavior of open quantum optical resonators.
    • The findings pave the way for a quantum theory of random lasing by including amplifying media.
    • This work offers insights into the quantum dynamics of complex optical systems.