Leading off-diagonal contribution to the spectral form factor of chaotic quantum systems
arXiv:nlin/0303053 · doi:10.1088/0305-4470/36/30/101
Abstract
We semiclassically derive the leading off-diagonal correction to the spectral form factor of quantum systems with a chaotic classical counterpart. To this end we present a phase space generalization of a recent approach for uniformly hyperbolic systems (M. Sieber and K. Richter, Phys. Scr. T90, 128 (2001); M. Sieber, J. Phys. A: Math. Gen. 35, L613 (2002)). Our results coincide with corresponding random matrix predictions. Furthermore, we study the transition from the Gaussian orthogonal to the Gaussian unitary ensemble.
arXiv comment8 pages, 2 figures; J. Phys. A: Math. Gen. (accepted for publication)
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