Resonance trapping and saturation of decay widths

Abstract

Resonance trapping appears in open many-particle quantum systems at high level density when the coupling to the continuum of decay channels reaches a critical strength. Here a reorganization of the system takes place and a separation of different time scales appears. We investigate it under the influence of additional weakly coupled channels as well as by taking into account the real part of the coupling term between system and continuum. We observe a saturation of the mean width of the trapped states. Also the decay rates saturate as a function of the coupling strength. The mechanism of the saturation is studied in detail. In any case, the critical region of reorganization is enlarged. When the transmission coefficients for the different channels are different, the width distribution is broadened as compared to a chi_K^2 distribution where K is the number of channels. Resonance trapping takes place before the broad state overlaps regions beyond the extension of the spectrum of the closed system.

18 pages, 8 figures, accepted by Phys. Rev. E

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• Interfering Doorway States and Giant Resonances. I: Resonance Spectrum and Multipole Strengths
• Interfering Doorway States and Giant Resonances. II: Transition Strengths
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Cited by in corpus (10)

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• Non-Hermitian Hamiltonian approach to quantum transport in disordered networks with sinks: validity and effectiveness
• Spectroscopic studies in open quantum systems
• Statistical aspects of nuclear coupling to continuum
• Hierarchical Fractal Weyl Laws for Chaotic Resonance States in Open Mixed Systems
• Correlations in quantum systems and branch points in the complex plane