A different perspective on the Landau-Zener dynamics

2024/04/12 by Eric P. Glasbrenner, Glasbrenner, Eric P., Yannik Gerdes +5 · 1 citation
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2404.08466

openalex publication_date 2024/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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