Distribution of the reflection eigenvalues of a weakly absorbing chaotic cavity

1999/08/24 by C. W. J. Beenakker, Piet W. Brouwer, P. W. Brouwer · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf · doi:10.1016/s1386-9477(00)00245-9

published as Physica E 9, 463 (2001) · 4 pages, 1 figure, to appear in Physica E (special issue on Dynamics of Complex Systems)

arxiv created 1999/08/24 · openalex publication_date 2001/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The scattering-matrix product SS+ of a weakly absorbing medium is related by a unitary transformation to the time-delay matrix without absorption. It follows from this relationship that the eigenvalues of SS+ for a weakly absorbing chaotic cavity are distributed according to a generalized Laguerre ensemble.

Citations

• Distribution of the quantum mechanical time-delay matrix for a chaotic cavity

Cited by

• Statistics of transmitted power in multichannel dissipative ergodic structures
• Distribution of reflection eigenvalues in many-channel chaotic cavities with absorption
• Delay times and reflection in chaotic cavities with absorption

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• Distribution of the quantum mechanical time-delay matrix for a chaotic cavity
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• On the density of complex eigenvalues of Wigner reaction matrix in a disordered or chaotic system with absorption