Beyond the Heisenberg time: Semiclassical treatment of spectral correlations in chaotic systems with spin 1/2
arXiv:1110.4567 · doi:10.1088/1751-8113/45/4/045102
Abstract
The two-point correlation function of chaotic systems with spin 1/2 is evaluated using periodic orbits. The spectral form factor for all times thus becomes accessible. Equivalence with the predictions of random matrix theory for the Gaussian symplectic ensemble is demonstrated. A duality between the underlying generating functions of the orthogonal and symplectic symmetry classes is semiclassically established.
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