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Exact transition probabilities in a six-state Landau-Zener system with path interference

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arxiv 1501.06083 v3 pith:KWYJQKWW submitted 2015-01-24 quant-ph cond-mat.mes-hallmath-phmath.MP

Exact transition probabilities in a six-state Landau-Zener system with path interference

classification quant-ph cond-mat.mes-hallmath-phmath.MP
keywords transitionlandau-zenerprobabilitiesinterferencemodelstatessystemanalytically
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We identify a nontrivial multistate Landau-Zener model for which transition probabilities between any pair of diabatic states can be determined analytically and exactly. In the semiclassical picture, this model features the possibility of interference of different trajectories that connect the same initial and final states. Hence, transition probabilities are generally not described by the incoherent successive application of the Landau-Zener formula. We discuss reasons for integrability of this system and provide numerical tests of the suggested expression for the transition probability matrix.

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