Landau-Zener transition in quadratic-nonlinear two-state systems
arXiv:0912.4763 · doi:10.1103/PhysRevA.81.055601
Abstract
A comprehensive theory of the Landau-Zener transition in quadratic nonlinear two-state systems is developed. A compact analytic formula involving elementary functions only is derived for the final transition probability. The formula provides a highly accurate approximation for the whole rage of the variation of the Landau-Zener parameter.
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Cited by in corpus (4)
- Thirty five classes of solutions of the quantum time-dependent two-state problem in terms of the general Heun functions
- Fifteen classes of solutions of the quantum two-state problem in terms of the confluent Heun function
- Analytic solutions of the quantum two-state problem in terms of the double-, bi- and tri-confluent Heun functions
- Generalized formula for the Landau-Zener transition in interacting Bose-Einstein condensates