Anomalous decay of a prepared state due to non-Ohmic coupling to the continuum

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dc.contributorVirginia Techen
dc.contributor.authorSela, I.en
dc.contributor.authorAisenberg, J.en
dc.contributor.authorKottos, T.en
dc.contributor.authorElgart, A.en
dc.contributor.authorCohen, D.en
dc.contributor.departmentMathematicsen
dc.date.accessed2013-12-17en
dc.date.accessioned2014-01-17T13:41:35Zen
dc.date.available2014-01-17T13:41:35Zen
dc.date.issued2010-03en
dc.description.abstractWe study the decay of a prepared state E(0) into a continuum {E(k)} in the case of non-Ohmic models. This means that the coupling is |V(k),(0)| proportional to |E(k)-E(0)|(s-1) with s not equal 1. We find that irrespective of model details there is a universal generalized Wigner time t(0) that characterizes the decay of the survival probability P(0)(t). The generic decay behavior which is implied by rate equation phenomenology is a slowing down stretched exponential, reflecting the gradual resolution of the band profile. But depending on nonuniversal features of the model a power-law decay might take over: it is only for an Ohmic coupling to the continuum that we get a robust exponential decay that is insensitive to the nature of the intracontinuum couplings. The analysis highlights the coexistence of perturbative and nonperturbative features in the dynamics. It turns out that there are special circumstances in which t(0) is reflected in the spreading process and not only in the survival probability, contrary to the naive linear-response theory expectation.en
dc.description.sponsorshipU.S.-Israel Binational Science Foundation (BSF)_en
dc.identifier.citationSela, Itamar ; Aisenberg, James ; Kottos, Tsampikos ; et al., Mar 2010. "Anomalous decay of a prepared state due to non-Ohmic coupling to the continuum," PHYSICAL REVIEW E 81(3) Part 2: 036219. DOI: 10.1103/PhysRevE.81.036219en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.81.036219en
dc.identifier.issn1539-3755en
dc.identifier.urihttp://hdl.handle.net/10919/24897en
dc.identifier.urlhttp://link.aps.org/doi/10.1103/PhysRevE.81.036219en
dc.language.isoen_USen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectrandom-matrix theoryen
dc.subjectcharacteristic vectorsen
dc.subjectinfinite dimensionsen
dc.subjectbordered matricesen
dc.subjectquantumen
dc.subjectdynamicsen
dc.subjectstatisticsen
dc.subjectdensityen
dc.subjectsystemsen
dc.subjectPhysicsen
dc.titleAnomalous decay of a prepared state due to non-Ohmic coupling to the continuumen
dc.title.serialPhysical Review Een
dc.typeArticle - Refereeden

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