Physics – Condensed Matter
Scientific paper
2003-04-29
JETP Letters, vol.78, No.4, (2003), pp.250-254 [Pis'ma v ZhETF, vol.78 (2003)pp.286-290]
Physics
Condensed Matter
This is the published version, with a few modifications added to the last part
Scientific paper
10.1134/1.1622041
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.
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