Quantum correlations from Brownian diffusion of chaotic level-spacings
arXiv:quant-ph/0403206 · doi:10.1016/j.physleta.2004.11.054
Abstract
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.
4 pages, revtex file, 4 postscript files
References in corpus (3)
Cited by in corpus (8)
- Physics of the Riemann Hypothesis
- Spectral fluctuations and 1/f noise in the order-chaos transition regime
- Spectral fluctuations of billiards with mixed dynamics: from time series to superstatistics
- Quantum spectrum as a time series : Fluctuation measures
- Power spectrum for critical statistics: A novel spectral characterization of the Anderson transition
- Quantum chaotic patterns in the E x (b_1+b_2) Jahn-Teller model
- Marginal intermediate statistics in the excited spectra of E\otimes (b_1+b_2) Jahn-Teller systems
- Quantum chaos, localized states and clustering in excited spectra of Jahn-Teller models