Single-mode delay time statistics for scattering by a chaotic cavity

Physics – Condensed Matter – Disordered Systems and Neural Networks

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10 pages including 3 figures; to be published in Physica Scripta (proceedings Nobel Symposium on Quantum Chaos)

Scientific paper

10.1238/Physica.Topical.090a0027

We investigate the low-frequency dynamics for transmission or reflection of a wave by a cavity with chaotic scattering. We compute the probability distribution of the phase derivative phi'=d phi/d omega of the scattered wave amplitude, known as the single-mode delay time. In the case of a cavity connected to two single-mode waveguides we find a marked distinction between detection in transmission and in reflection: The distribution P(phi') vanishes for negative phi' in the first case but not in the second case.

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