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arXiv · 1509.02329

Universal scaling of spectral fluctuation transitions for interacting chaotic systems

Shashi C. L. Srivastava·Steven Tomsovic·Arul Lakshminarayan·Roland Ketzmerick·Arnd Bäcker
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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.

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Shashi C. L. Srivastava, Steven Tomsovic, Arul Lakshminarayan, Roland Ketzmerick, Arnd Bäcker. 2015-09-08. Universal scaling of spectral fluctuation transitions for interacting chaotic systems. https://doi.org/10.1103/physrevlett.116.054101

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