Spectral Form Factor for Chaotic Dynamics in a Weak Magnetic Field
arXiv:nlin/0505055 · doi:10.1016/j.physleta.2005.12.027
Abstract
Using semiclassical periodic orbit theory for a chaotic system in a weak magnetic field, we obtain the form factor predicted by Pandey and Mehta's two matrix model up to the third order. The third order contribution has a peculiar term which exists only in the intermediate crossover domain between the GOE (Gaussian Orthogonal Ensemble) and the GUE (Gaussian Unitary Ensemble) universality classes. The exact expression is obtained by taking account of the contribution from encounter regions where orbit loops are connected.
13 pages, 3 figures
References in corpus (5)
- Semiclassical Foundation of Universality in Quantum Chaos
- Universal spectral form factor for chaotic dynamics
- Leading off-diagonal contribution to the spectral form factor of chaotic quantum systems
- Form factor for a family of quantum graphs: An expansion to third order
- Form Factor of a Quantum Graph in a Weak Magnetic Field
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