Resonance distribution in open quantum chaotic systems

Details Resonance distribution in open quantum chaotic systems Resonance distribution in open quantum chaotic systems

2008-03-07

arxiv.org/abs/0803.1075v4

Physical Review E 78 (2008) 045202(R)

Nonlinear Sciences

Chaotic Dynamics

4 pages. Compared with version 2, we have slightly modified the figures, corrected some misprints, and added the values for th

Scientific paper

10.1103/PhysRevE.78.045202

In order to study the resonance spectra of chaotic cavities subject to some damping (which can be due to absorption or partial reflection at the boundaries), we use a model of damped quantum maps. In the high-frequency limit, the distribution of (quantum) decay rates is shown to cluster near a ``typical'' value, which is larger than the classical decay rate of the corresponding damped ray dynamics. The speed of this clustering may be quite slow, which could explain why it has not been detected in previous numerical data.

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