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Statistics of delay times in mesoscopic systems as a manifestation of eigenfunction fluctuations

A. Ossipov·Y. V. Fyodorov
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Abstract

We reveal a general explicit relation between the statistics of delay times in one-channel reflection from a mesoscopic sample of any spatial dimension and the statistics of the eigenfunction intensities in its closed counterpart. This opens a possibility to use experimentally measurable delay times as a sensitive probe of eigenfunction fluctuations. For the particular case of quasi-one dimensional geometry of the sample we use an alternative technique to derive the probability density of partial delay times for any number of open channels.

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A. Ossipov, Y. V. Fyodorov. 2005-04-11. Statistics of delay times in mesoscopic systems as a manifestation of eigenfunction fluctuations. https://doi.org/10.1103/physrevb.71.125133

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