Crossover Driven by Time-reversal Symmetry Breaking in Quantum Chaos
Condensed Matter
2009-10-22 v1
Abstract
Parametric correlations of energy spectra of quantum chaotic systems are presented in the orthogonal-unitary and symplectic-unitary crossover region. The spectra are allowed to disperse as a function of two external perturbations: one of which preserves time-reversal symmetry, while the other violates it. Exact analytical expressions for the parametric two-point autocorrelation function of the density of states are derived in the crossover region by means of the supermatrix method. For the orthogonal-unitary crossover, the velocity distributions is determined and shown to deviate from Gaussian.
Keywords
Cite
@article{arxiv.cond-mat/9404026,
title = {Crossover Driven by Time-reversal Symmetry Breaking in Quantum Chaos},
author = {N. Taniguchi and A. Hashimoto and B. D. Simons and B. L. Altshuler},
journal= {arXiv preprint arXiv:cond-mat/9404026},
year = {2009}
}
Comments
11 pages + 1 postscript file (compressed and uuencoded), REVTeX3, MIT-CMT-NT03