Spectral form factor near the Ehrenfest time

Piet W. Brouwer, Saar Rahav, and Chushun Tian
Phys. Rev. E 74, 066208 – Published 28 December 2006

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, when the quantum correction to the form factor involves two small-angle encounters of classical trajectories, our result differs from that previously obtained using field-theoretic methods [Tian and Larkin, Phys. Rev. B 70, 035305 (2004)]. While we believe that the existing field-theoretic calculation is technically flawed, the question whether the field theoretic and periodic-orbit approaches agree when more than one small-angle encounter of classical orbits is involved remains unanswered.

  • Figure
  • Received 13 July 2006

DOI:https://doi.org/10.1103/PhysRevE.74.066208

©2006 American Physical Society

Authors & Affiliations

Piet W. Brouwer and Saar Rahav

  • Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA

Chushun Tian

  • Institut für Theoretische Physik, Universität zu Köln, Köln, 50937, Germany

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Issue

Vol. 74, Iss. 6 — December 2006

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