Integrable theory of quantum transport in chaotic cavities

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dc.creatorOsipov, Vladimir Al.
dc.creatorKanzieper, Eugene
dc.date2008-06-17
dc.date2008-09-25
dc.date.accessioned2026-07-07T12:35:20Z
dc.date.available2026-07-07T12:35:20Z
dc.descriptionThe problem of quantum transport in chaotic cavities with broken time-reversal symmetry is shown to be completely integrable in the universal limit. This observation is utilised to determine the cumulants and the distribution function of conductance for a cavity with ideal leads supporting an arbitrary number $n$ of propagating modes. Expressed in terms of solutions to the fifth Painlevé transcendent and/or the Toda lattice equation, the conductance distribution is further analysed in the large-$n$ limit that reveals long exponential tails in the otherwise Gaussian curve.
dc.description4 pages; final version to appear in Physical Review Letters
dc.identifierhttps://arxiv.org/abs/0806.2784
dc.identifierhttp://arxiv.org/abs/0806.2784
dc.identifierPhys.Rev.Lett.101:176804,2008
dc.identifierdoi:10.1103/PhysRevLett.101.176804
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217738
dc.subjectMesoscale and Nanoscale Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectChaotic Dynamics
dc.subjectExactly Solvable and Integrable Systems
dc.titleIntegrable theory of quantum transport in chaotic cavities
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