Landau-Zener transition in a multilevel system. An exact result

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dc.creatorShytov, A. V.
dc.date2003-11-30
dc.date.accessioned2026-07-07T08:38:54Z
dc.date.available2026-07-07T08:38:54Z
dc.descriptionWe study the S-matrix for the transitions at an avoided crossing of several energy levels, which is a multilevel generalization of the Landau-Zener problem. We demonstrate that, by extending the Schroedinger evolution to complex time, one can obtain an exact answer for some of the transition amplitudes. Similar to the Landau-Zener case, our result covers both the adiabatic regime (slow evolution.) and the diabatic regime (fast evolution). The form of the exact transition amplitude coincides with that obtained in a sequential pairwise level crossing approximation, in accord with the conjecture of Brundobler and Elser.
dc.description3 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0312011
dc.identifierhttp://arxiv.org/abs/cond-mat/0312011
dc.identifierPhys. Rev. A 70, 052708(2004)
dc.identifierdoi:10.1103/PhysRevA.70.052708
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140898
dc.subjectMesoscale and Nanoscale Physics
dc.subjectQuantum Physics
dc.titleLandau-Zener transition in a multilevel system. An exact result
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