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Related Experiment Video

Updated: Jun 28, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Resonance distribution in open quantum chaotic systems.

S Nonnenmacher¹, E Schenck

¹Institut de Physique Théorique, CEA/DSM/IPhT, CEA-Saclay, 91191 Gif-sur-Yvette, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|November 13, 2008

Summary

This study models damped quantum maps to analyze chaotic cavity resonance spectra. Quantum decay rates cluster at a higher value than classical rates, potentially explaining past detection difficulties.

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Area of Science:

Quantum chaos
Wave dynamics in complex systems

Background:

Understanding resonance spectra in chaotic cavities is crucial for wave phenomena.
Damping, due to absorption or boundary effects, significantly influences these spectra.
Previous numerical studies have not fully captured the behavior of decay rates.

Purpose of the Study:

To investigate the resonance spectra of chaotic cavities with damping.
To analyze the distribution of quantum decay rates in the high-frequency limit.
To compare quantum decay rates with classical ray dynamics.

Main Methods:

Utilizing a model of damped quantum maps.
Analyzing the high-frequency limit of the system.
Comparing quantum decay rates with classical decay rates.

Main Results:

The distribution of quantum decay rates clusters around a typical value.
This typical quantum decay rate is larger than the classical decay rate.
The clustering phenomenon exhibits slow convergence, potentially explaining its absence in prior data.

Conclusions:

Damped quantum maps provide a viable model for studying chaotic cavity resonance.
Quantum effects lead to decay rates that differ from classical predictions.
The slow speed of clustering necessitates careful consideration in numerical and experimental analyses.