2006/07/13 by Piet W. Brouwer, Saar Rahav, Chushun Tian
Chemistry · Physics and Astronomy · #Molecular spectroscopy and chirality #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics #cond-mat.mes-hall #nlin.CD
paper · pdf · doi:10.1103/physreve.74.066208
published as Phys. Rev. E 74, 066208 (2006) · 6 pages, 1 figure
arxiv created 2006/07/13 · openalex publication_date 2006/12/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.