2006/06/14 by Piet W. Brouwer, Saar Rahav · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum chaos and dynamical systems #Quantum many-body systems #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.74.085313
published as Phys. Rev. B 74, 085313 (2006) · 18 pages, 9 figures
arxiv created 2006/06/14 · openalex publication_date 2006/08/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The scattering matrix S of a ballistic chaotic cavity is the direct sum of a classical and a quantum part, which describe the scattering of channels with typical dwell time smaller and larger than the Ehrenfest time, respectively. According to the effective random matrix theory of Silvestrov, Goorden, and Beenakker [Phys. Rev. Lett. 90, 116801 (2003)], statistical averages involving the quantum-mechanical scattering matrix are given by random matrix theory. While this effective random matrix theory is known not to be applicable for quantum interference corrections to transport, which appear to subleading order in the number of scattering channels N, it is believed to correctly describe quantum transport to leading order in N. We here partially verify this belief, by comparing the predictions of the effective random matrix theory for the ensemble averages of polynomial functions of S and S^\ifmmode†\else\textdagger\fi of degree 2, 4, and 6 to a semiclassical calculation.