Quantum correlations from Brownian diffusion of chaotic level-spacings

Details Quantum correlations from Brownian diffusion of chaotic level-spacings Quantum correlations from Brownian diffusion of chaotic level-spacings

2004-03-29

arxiv.org/abs/quant-ph/0403206v1

Physics

Quantum Physics

4 pages, revtex file, 4 postscript files

Scientific paper

10.1016/j.physleta.2004.11.054

Quantum chaos is linked to Brownian diffusion of the underlying quantum energy level-spacing sequences. The level-spacings viewed as functions of their order execute random walks which imply uncorrelated random increments of the level-spacings while the integrability to chaos transition becomes a change from Poisson to Gauss statistics for the level-spacing increments. This universal nature of quantum chaotic spectral correlations is numerically demonstrated for eigenvalues from random tight binding lattices and for zeros of the Riemann zeta function.

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