Analytic approach to the Landau–Zener problem in bounded parameter space
Analytic approach to the Landau–Zener problem in bounded parameter space
Three analytic solutions to the Schr\"{o}dinger equation for the time-dependent Landau-Zener Hamiltonian are presented. They correspond to specific finite-time driving paths in a bounded parameter space of a two-level system. Two of these paths go through the avoided crossing of levels, either with a constant speed or with variable speed …