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http://bura.brunel.ac.uk/handle/2438/12541
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DC Field | Value | Language |
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dc.contributor.author | Fyodorov, YV | - |
dc.contributor.author | Savin, DV | - |
dc.date.accessioned | 2016-04-20T14:36:23Z | - |
dc.date.available | 2015-05-01 | - |
dc.date.available | 2016-04-20T14:36:23Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | EPL, 110, (4), (2015) | en_US |
dc.identifier.issn | http://iopscience.iop.org/article/10.1209/0295-5075/110/40006/meta;jsessionid=C59A5B40793FA61166DFD6C92CDC1A1F.c1 | - |
dc.identifier.issn | 0295-5075 | - |
dc.identifier.issn | 1286-4854 | - |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/12541 | - |
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 priori assume the resonance widths being small compared to the mean level spacing. We show that to the leading order in weak coupling the perturbative χ<inf>M</inf><sup>2</sup> 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that properly approximates the width distribution also at large resonance overlap, where the Porter-Thomas result is no longer applicable.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.language.iso | en | en_US |
dc.publisher | IOP Publishing | en_US |
dc.title | Resonance width distribution in RMT: Weak-coupling regime beyond Porter-Thomas | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://dx.doi.org/10.1209/0295-5075/110/40006 | - |
dc.relation.isPartOf | EPL | - |
pubs.issue | 4 | - |
pubs.publication-status | Published | - |
pubs.volume | 110 | - |
Appears in Collections: | Dept of Mathematics Research Papers |
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Fulltext.pdf | 249.26 kB | Adobe PDF | View/Open |
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