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dc.contributor.authorFyodorov, YVen_US
dc.contributor.authorSavin, DVen_US
dc.date.accessioned2015-09-22T10:55:04Z
dc.identifier.other10.1209/0295-5075/110/40006
dc.identifier.urihttp://qmro.qmul.ac.uk/xmlui/handle/123456789/8809
dc.description6 pages, 1 figure (minor corrections, typos fixed)en_US
dc.description6 pages, 1 figure (minor corrections, typos fixed)
dc.description6 pages, 1 figure (minor corrections, typos fixed)en_US
dc.description.abstractWe 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that properly approximates the width distribution also at large resonance overlap, where the Porter-Thomas result is no longer applicable.en_US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.sponsorshipEPSRC grant EP/J002763/1 "Insights into Disordered Landscapes via Random Matrix Theory and Statistical Mechanics".en_US
dc.language.isoenen_US
dc.relation.ispartofEPL (Europhys. Lett.) 110, 40006 (2015)en_US
dc.subjectcond-mat.mes-hallen_US
dc.subjectcond-mat.mes-hallen_US
dc.subjectmath-phen_US
dc.subjectmath.MPen_US
dc.subjectnlin.CDen_US
dc.subjectnucl-then_US
dc.titleResonance width distribution in RMT: Weak coupling regime beyond Porter-Thomasen_US
dc.typeArticle
dc.identifier.doi10.1209/0295-5075/110/40006en_US
pubs.author-urlhttp://arxiv.org/abs/1503.06787v2en_US
pubs.notesNot knownen_US
pubs.organisational-group/Queen Mary University of London
pubs.organisational-group/Queen Mary University of London/Faculty of Science & Engineering
pubs.organisational-group/Queen Mary University of London/Faculty of Science & Engineering/Mathematical Sciences - Staff and Research Students
pubs.publisher-urlhttp://dx.doi.org/10.1209/0295-5075/110/40006en_US
qmul.funderInsights into Disordered Landscapes via Random Matrix Theory and Statistical Mechanics::EPSRCen_US


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