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The spectral form factor near the Ehrenfest-time

Piet W. Brouwer·Saar Rahav·Chushun Tian
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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.

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Piet W. Brouwer, Saar Rahav, Chushun Tian. 2006-07-13. The spectral form factor near the Ehrenfest-time. https://doi.org/10.1103/physreve.74.066208

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