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Quantum correlations from Brownian diffusion of chaotic level-spacings | S.N. Evangelou
; D.E. Katsanos
; | Date: |
29 Mar 2004 | Subject: | Quantum Physics; Disordered Systems and Neural Networks | quant-ph cond-mat.dis-nn | 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. | Source: | arXiv, quant-ph/0403206 | Services: | Forum | Review | PDF | Favorites |
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