dc.contributor.author | Fyodorov, YV | en_US |
dc.contributor.author | Savin, DV | en_US |
dc.date.accessioned | 2015-09-22T10:55:04Z | |
dc.identifier.other | 10.1209/0295-5075/110/40006 | |
dc.identifier.uri | http://qmro.qmul.ac.uk/xmlui/handle/123456789/8809 | |
dc.description | 6 pages, 1 figure (minor corrections, typos fixed) | en_US |
dc.description | 6 pages, 1 figure (minor corrections, typos fixed) | |
dc.description | 6 pages, 1 figure (minor corrections, typos fixed) | en_US |
dc.description.abstract | We employ the random matrix theory (RMT) framework to revisit the distribution of resonance widths in quantum chaotic systems weakly coupled to the continuum via a finite number M of open channels. In contrast to the standard first-order perturbation theory treatment we do not a priory assume the resonance widths being small compared to the mean level spacing. We show that to the leading order in weak coupling the perturbative $\chi^2_M$ distribution of the resonance widths (in particular, the Porter-Thomas distribution at M=1) should be corrected by a factor related to a certain average of the ratio of square roots of the characteristic polynomial ("spectral determinant") of the underlying RMT Hamiltonian. A simple single-channel expression is obtained that properly approximates the width distribution also at large resonance overlap, where the Porter-Thomas result is no longer applicable. | en_US |
dc.description.sponsorship | EPSRC grant EP/J002763/1 "Insights into Disordered Landscapes via Random Matrix Theory and Statistical Mechanics". | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | EPL (Europhys. Lett.) 110, 40006 (2015) | en_US |
dc.subject | cond-mat.mes-hall | en_US |
dc.subject | cond-mat.mes-hall | en_US |
dc.subject | math-ph | en_US |
dc.subject | math.MP | en_US |
dc.subject | nlin.CD | en_US |
dc.subject | nucl-th | en_US |
dc.title | Resonance width distribution in RMT: Weak coupling regime beyond Porter-Thomas | en_US |
dc.type | Article | |
dc.identifier.doi | 10.1209/0295-5075/110/40006 | en_US |
pubs.author-url | http://arxiv.org/abs/1503.06787v2 | en_US |
pubs.notes | Not known | en_US |
pubs.publisher-url | http://dx.doi.org/10.1209/0295-5075/110/40006 | en_US |
qmul.funder | Insights into Disordered Landscapes via Random Matrix Theory and Statistical Mechanics::EPSRC | en_US |