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Crossover Driven by Time-reversal Symmetry Breaking in Quantum Chaos

N. Taniguchi·A. Hashimoto·B. D. Simons·B. L. Altshuler
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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.

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N. Taniguchi, A. Hashimoto, B. D. Simons, B. L. Altshuler. 1994-04-12. Crossover Driven by Time-reversal Symmetry Breaking in Quantum Chaos. https://doi.org/10.1209/0295-5075%2F27%2F5%2F001

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