The spectral form factor near the Ehrenfest-time

Details The spectral form factor near the Ehrenfest-time The spectral form factor near the Ehrenfest-time

2006-07-13

arxiv.org/abs/nlin/0607025v1

Phys. Rev. E 74, 066208 (2006)

Nonlinear Sciences

Chaotic Dynamics

6 pages, 1 figure

Scientific paper

10.1103/PhysRevE.74.066208

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.

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