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Distribution of Proper Delay Times in Quantum Chaotic Scattering

Dmitry V. Savin, Valentin V. Sokolov, Hans-Jürgen Sommers

Published Jan 1, 2001• 27 citations
Publisher
DOI
10.17877/de290r-10788

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arXiv:cond-mat/0409690•Sep 27, 2004•0 citations
Effect of a complicated many-body environment is analyzed on the chaotic motion of a quantum particle in a mesoscopic ballistic structure. The dephasing and absorption phenomena are treated on the same footing in the framework of a model which is free of the ambiguities inherent to earlier models. The single-particle doorway resonance states excited via an external channel are damped not only because of the escape onto such channels but also due to ulterior population of long-lived background states, the resulting internal damping being uniquely characterized by the spreading width. On the other hand, the formation of the fine-structure resonances strongly enhances the delay time fluctuations thus broadening the delay time distribution.
Effect of a complicated many-body environment is analyzed on the chaotic motion of a quantum particle in a mesoscopic ballistic structure. The dephasing and absorption phenomena are treated on the same footing in the framework of a schematic microscopic model. The single-particle doorway resonance states excited in the structure via an external channel are damped not only because of the escape onto such channels but also due to ulterior population of the long-lived background states. The transmission through the structure is presented as an incoherent sum of the flow formed by the interfering damped doorway resonances and the retarded flow of the particles reemitted by the environment. The resulting internal damping as well as the dephasing rate are uniquely expressed in terms of the spreading width which controls the coupling to the background. The formation of the long-lived fine-structure resonances strongly enhances delay time fluctuations thus broadening the delay time distribution.