Role of divergence of classical trajectories in quantum chaos
Abstract
We study logarithmic-in-ℎ effects in the statistical description of quantum chaos. We found analytical expressions for the deviations from the universality in the weak localization correction and in the level statistics and showed that the characteristic scale for these deviations is the Ehrenfest time tE=λ-1\|ln ℎ\|, where λ is the Lyapunov exponent of the classical motion.
- Publication:
-
Physical Review E
- Pub Date:
- February 1997
- DOI:
- 10.1103/PhysRevE.55.R1243
- arXiv:
- arXiv:cond-mat/9610034
- Bibcode:
- 1997PhRvE..55.1243A
- Keywords:
-
- Condensed Matter
- E-Print:
- 4 pages, no figures