Leading off-diagonal contribution to the spectral form factor of chaotic quantum systems

Details Leading off-diagonal contribution to the spectral form factor of chaotic quantum systems Leading off-diagonal contribution to the spectral form factor of chaotic quantum systems

2003-03-23

arxiv.org/abs/nlin/0303053v1

Nonlinear Sciences

Chaotic Dynamics

8 pages, 2 figures; J. Phys. A: Math. Gen. (accepted for publication)

Scientific paper

10.1088/0305-4470/36/30/101

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.

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