The spectral form factor near the Ehrenfest-time
Chaotic Dynamics
2007-08-22 v1 Mesoscale and Nanoscale Physics
Abstract
We calculate the Ehrenfest-time dependence of the leading quantum correction to the spectral form factor of a ballistic chaotic cavity using periodic orbit theory. For the case of broken time-reversal symmetry, our result differs from that previously obtained using field-theoretic methods [Tian and Larkin, Phys. Rev. B 70, 035305 (2004)]. The discrepancy shows that short-time regularization procedures dramatically affect physics near the Ehrenfest-time.
Keywords
Cite
@article{arxiv.nlin/0607025,
title = {The spectral form factor near the Ehrenfest-time},
author = {Piet W. Brouwer and Saar Rahav and Chushun Tian},
journal= {arXiv preprint arXiv:nlin/0607025},
year = {2007}
}
Comments
6 pages, 1 figure