A different perspective on the Landau-Zener dynamics
Quantum Physics
2024-04-15 v1
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.
Keywords
Cite
@article{arxiv.2404.08466,
title = {A different perspective on the Landau-Zener dynamics},
author = {Eric P. Glasbrenner and Yannik Gerdes and Sándor Varró and Wolfgang P. Schleich},
journal= {arXiv preprint arXiv:2404.08466},
year = {2024}
}