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

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 (Sieber M and Richter K 2001 T 128, Sieber M 2002 L613). Our results coincide with corresponding random matrix predictions. Furthermore we study the transition from the Gaussian orthogonal to the Gaussian unitary ensemble.