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Induced vs. Spontaneous breakdown of S-matrix unitarity: Probability of no return in quantum chaotic and disordered systems

  • Methods of Theoretical Physics
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Abstract

We investigate systematically sample-to-sample fluctuations of the probability τ of no return into a given entrance channel for wave scattering from disordered systems. For zero-dimensional (“quantum chaotic”) and quasi-one-dimensional systems with broken time-reversal invariance, we derive explicit formulas for the distribution of τ and investigate particular cases. Finally, relating τ to violation of S-matrix unitarity induced by internal dissipation, we use the same quantity to identify the Anderson delocalization transition as the phenomenon of spontaneous breakdown of S-matrix unitarity.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Brunel University, Uxbridge, UB83PH, United Kingdom

    Y. V. Fyodorov

  2. Petersburg Nuclear Physics Institute, Russian Academy of Sciences, Gatchina, Leningrad region, 188350, Russia

    Y. V. Fyodorov

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  1. Y. V. Fyodorov
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From Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 78, No. 4, 2003, pp. 286–290.

Original English Text Copyright © 2003 by Fyodorov.

This article was submitted by the author in English.

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Fyodorov, Y.V. Induced vs. Spontaneous breakdown of S-matrix unitarity: Probability of no return in quantum chaotic and disordered systems. Jetp Lett. 78, 250–254 (2003). https://doi.org/10.1134/1.1622041

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  • DOI: https://doi.org/10.1134/1.1622041

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