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arxiv: 0912.4763 · v2 · submitted 2009-12-24 · ❄️ cond-mat.other · cond-mat.quant-gas· quant-ph

Landau-Zener transition in quadratic-nonlinear two-state systems

classification ❄️ cond-mat.other cond-mat.quant-gasquant-ph
keywords landau-zenertransitionformulasystemstwo-stateaccurateanalyticapproximation
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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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