Current Statistics for Quantum Transport through Two-Dimensional Open Chaotic Billiards

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dc.creatorSaichev, Alexander I.
dc.creatorIshio, Hiromu
dc.creatorSadreev, Almas F.
dc.creatorBerggren, Karl-Fredrik
dc.date2001-11-03
dc.date.accessioned2026-07-07T05:33:44Z
dc.date.available2026-07-07T05:33:44Z
dc.descriptionThe probability current statistics of two-dimensional open chaotic ballistic billiards is studied both analytically and numerically. Assuming that the real and imaginary parts of the scattering wave function are both random Gaussian fields, we find a universal distribution function for the probability current. In by-passing we recover previous analytic forms for wave function statistics. The expressions bridge the entire region from GOE to GUE type statistics. Our analytic expressions are verified numerically by explicit quantum-mechanical calculations of transport through a Bunimovich billiard.
dc.description4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/nlin/0111010
dc.identifierhttp://arxiv.org/abs/nlin/0111010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80109
dc.subjectChaotic Dynamics
dc.titleCurrent Statistics for Quantum Transport through Two-Dimensional Open Chaotic Billiards
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