The spectral form factor near the Ehrenfest-time
arXiv:nlin/0607025 · doi:10.1103/PhysRevE.74.066208
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.
6 pages, 1 figure
References in corpus (7)
- Semiclassical Foundation of Universality in Quantum Chaos
- Periodic-Orbit Theory of Universality in Quantum Chaos
- Universal spectral form factor for chaotic dynamics
- Adiabatic quantization of Andreev levels
- Towards a semiclassical justification of the `effective random matrix theory' for transport through ballistic chaotic quantum dots
- Quantum-to-classical crossover of mesoscopic conductance fluctuations
- Field Theory Approach to Quantum Interference in Chaotic Systems
Cited by in corpus (5)
- Semiclassical roots of universality in many-body quantum chaos
- Semiclassical Mechanism for the Quantum Decay in Open Chaotic Systems
- Semiclassical theory of the Ehrenfest-time dependence of quantum transport
- Self-averaging characteristics of spectral fluctuations
- Universal spectral correlations from the ballistic sigma model