2006/10/20 by Stefan Heusler, Sebastian Müller, Alexander Altland +2
Physics and Astronomy · #nlin.CD #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.98.044103
published as Phys. Rev. Lett. 98, 044103 (2007) · 4 pages, 1 figure (+ web-only appendix with 2 pages, 1 figure)
arxiv created 2006/10/20 · arxiv updated 2009/12/01
We present a semiclassical explanation of the so-called Bohigas-Giannoni-Schmit conjecture which asserts universality of spectral fluctuations in chaotic dynamics. We work with a generating function whose semiclassical limit is determined by quadruplets of sets of periodic orbits. The asymptotic expansions of both the non-oscillatory and the oscillatory part of the universal spectral correlator are obtained. Borel summation of the series reproduces the exact correlator of random-matrix theory.