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VOLUME 78 (2003) | ISSUE 4 | PAGE 286
Induced vs spontaneous breakdown of S-matrix unitarity: probability of no return in quantum chaotic and disordered systems
PACS: 05.45.+b
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 delocalisation transition as the phenomenon of spontaneous breakdown of S-matrix unitarity.