Universal scaling of spectral fluctuation transitions for interacting chaotic systems
Chaotic Dynamics
2016-02-10 v1 Strongly Correlated Electrons
Quantum Physics
Abstract
The spectral properties of interacting strongly chaotic systems are investigated for growing interaction strength. A very sensitive transition from Poisson statistics to that of random matrix theory is found. We introduce a new random matrix ensemble modeling this dynamical symmetry breaking transition which turns out to be universal and depends on a single scaling parameter only. Coupled kicked rotors, a dynamical systems paradigm for such transitions, are compared with this ensemble and excellent agreement is found for the nearest-neighbor-spacing distribution. It turns out that this transition is described quite accurately using perturbation theory.
Keywords
Cite
@article{arxiv.1509.02329,
title = {Universal scaling of spectral fluctuation transitions for interacting chaotic systems},
author = {Shashi C. L. Srivastava and Steven Tomsovic and Arul Lakshminarayan and Roland Ketzmerick and Arnd Bäcker},
journal= {arXiv preprint arXiv:1509.02329},
year = {2016}
}
Comments
5 pages, 3 figures