dorsal/arxiv
View SchemaQuantum correlations from Brownian diffusion of chaotic level-spacings
| Authors | S. N. Evangelou, D. E. Katsanos |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0403206 |
| URL | https://arxiv.org/abs/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.
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"abstract": "Quantum chaos is linked to Brownian diffusion of the underlying quantum\nenergy level-spacing sequences. The level-spacings viewed as functions of their\norder execute random walks which imply uncorrelated random increments of the\nlevel-spacings while the integrability to chaos transition becomes a change\nfrom Poisson to Gauss statistics for the level-spacing increments. This\nuniversal nature of quantum chaotic spectral correlations is numerically\ndemonstrated for eigenvalues from random tight binding lattices and for zeros\nof the Riemann zeta function.",
"arxiv_id": "quant-ph/0403206",
"authors": [
"S. N. Evangelou",
"D. E. Katsanos"
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"doi": "10.1016/j.physleta.2004.11.054",
"title": "Quantum correlations from Brownian diffusion of chaotic level-spacings",
"url": "https://arxiv.org/abs/quant-ph/0403206"
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