Brouwer Piet W, Rahav Saar, Tian Chushun
Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Dec;74(6 Pt 2):066208. doi: 10.1103/PhysRevE.74.066208. Epub 2006 Dec 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.
我们使用周期轨道理论来计算弹道混沌腔谱形式因子的主导量子修正的埃伦费斯特时间依赖性。对于时间反演对称性破缺的情况，当形式因子的量子修正涉及经典轨迹的两次小角度相遇时，我们的结果与先前使用场论方法得到的结果不同[田和拉金，《物理评论B》70，035305（2004）]。虽然我们认为现有的场论计算在技术上存在缺陷，但当涉及经典轨道的不止一次小角度相遇时，场论方法和周期轨道方法是否一致的问题仍然没有答案。
