Crossover Driven by Time-reversal Symmetry Breaking in Quantum Chaos
arXiv:cond-mat/9404026 · doi:10.1209/0295-5075/27/5/001
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.
arXiv comment11 pages + 1 postscript file (compressed and uuencoded), REVTeX3, MIT-CMT-NT03
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