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

van Bemmel, K. J. H.; Schomerus, H.; Beenakker, C. W. J.

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

Authors

van Bemmel, K. J. H.

Schomerus, H.

Beenakker, C. W. J.

Description

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