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arXiv · 2404.08466

A different perspective on the Landau-Zener dynamics

Eric P. Glasbrenner·Yannik Gerdes·Sándor Varró·Wolfgang P. Schleich
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Abstract

We present two different approaches towards the Landau-Zener problem: (i) The Markov approximation in the integro-differential equation for one of the two probability amplitudes, and (ii) an amplitude-and-phase analysis of the linear second order differential equation for same probability amplitude. Our treatment shows that the Markov approximation neglects the non-linearity of the equation but still provides us with the exact asymptotic result.

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Eric P. Glasbrenner, Yannik Gerdes, Sándor Varró, Wolfgang P. Schleich. 2024-04-12. A different perspective on the Landau-Zener dynamics. https://arxiv.org/abs/2404.08466

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