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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2003, Volume 78, Issue 4, Pages 286–290
(Mi jetpl2530)
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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
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
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
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https://www.mathnet.ru/eng/jetpl2530 https://www.mathnet.ru/eng/jetpl/v78/i4/p286
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Abstract page: | 194 | Full-text PDF : | 69 | References: | 40 |
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