Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki
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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2003, Volume 78, Issue 4, Pages 286–290 (Mi jetpl2530)  
This article is cited in 55 scientific papers (total in 55 papers)

Induced vs spontaneous breakdown of $S$-matrix unitarity: probability of no return in quantum chaotic and disordered systems

Ya. V. Fyodorovab

a Department of Methematical Sciences, Brunel University
b B. P. Konstantinov Petersburg Nuclear Physics Institute, Russian Academy of Sciences
Full-text PDF (181 kB) Citations (55)
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Abstract: We investigate systematically sample-to sample fluctuations of the probability $\tau$ 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 $\tau$, and investigate particular cases. Finally, relating $\tau$ to violation of $S$-matrix unitarity induced by internal dissipation, we use the same quantity to identify the Anderson delocalisation transition as the phenomenon of spontaneous breakdown of $S$-matrix unitarity.
Received: 22.07.2003
English version:
Journal of Experimental and Theoretical Physics Letters, 2003, Volume 78, Issue 4, Pages 250–254
DOI: https://doi.org/10.1134/1.1622041
Bibliographic databases:
Document Type: Article
PACS: 05.45.+b
Language: English
Citation: Ya. V. Fyodorov, “Induced vs spontaneous breakdown of $S$-matrix unitarity: probability of no return in quantum chaotic and disordered systems”, Pis'ma v Zh. Èksper. Teoret. Fiz., 78:4 (2003), 286–290; JETP Letters, 78:4 (2003), 250–254
Citation in format AMSBIB
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\by Ya.~V.~Fyodorov
\paper Induced vs spontaneous breakdown of $S$-matrix unitarity: probability of no return in quantum chaotic and disordered systems
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2003
\vol 78
\issue 4
\pages 286--290
\mathnet{http://mi.mathnet.ru/jetpl2530}
\transl
\jour JETP Letters
\yr 2003
\vol 78
\issue 4
\pages 250--254
\crossref{https://doi.org/10.1134/1.1622041}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0242707587}
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    • This publication is cited in the following 55 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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