Landau-Zener Formulae from Adiabatic Transition Histories [chapter]

Volker Betz, Stefan Teufel
Mathematical Physics of Quantum Mechanics  
We use recent results on precise coupling terms in the optimal superadiabatic basis in order to determine exponentially small transition probabilities in the adiabatic limit of time-dependent two-level systems. As examples, we discuss the Landau-Zener and the Rosen-Zener models.
doi:10.1007/3-540-34273-7_4 fatcat:v6dl7pge6vaa5bg3cx4gnniqke