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Analytical results for state-to-state transition probabilities in the multistate Landau-Zener model by nonstationary perturbation theory

2006/11/02 by M. V. Volkov, V. N. Ostrovsky, V N Ostrovsky · 2 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #Advanced Thermodynamics and Statistical Mechanics #Quantum chaos and dynamical systems #cond-mat.other

paper · pdf · doi:10.1103/physreva.75.022105

21 pages, 0 figures

arxiv created 2006/11/02 · openalex publication_date 2007/02/20 · arxiv updated 2013/05/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Multistate generalizations of Landau-Zener model are studied by summing entire series of perturbation theory. A technique for analysis of the series is developed. Analytical expressions for probabilities of survival at the diabatic potential curves with extreme slope are proved. Degenerate situations are considered when there are several potential curves with extreme slope. Expressions for some state-to-state transition probabilities are derived in degenerate cases.

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