4 papers · 1 filter
A logarithmic phase singularity at the heart of Landau-Zener transitions
Eric P. Glasbrenner, David Fabian, Wolfgang P. Schleich
Three ingredients of the elementary Landau-Zener problem determine the familiar expression for the asymptotic value of the probability ampl…
Elementary asymptotic approach to the Landau-Zener problem
Eric P. Glasbrenner, Wolfgang P. Schleich
We present an asymptotic approach towards the standard Landau-Zener problem based on two linearly independent elementary waves of constant amplitude but time-dependent phase. The t…
Time-dependent adiabatic elimination in matter-wave optics
Samuel Böhringer, Alexander Bott, Eric P. Glasbrenner
We show how the dynamics of a specific subset of states can be separated from the dynamic of the total quantum state via a time-dependent projector-based formalism of adiabatic eli…
Hidden facts in Landau-Zener transitions revealed by the Riccati Equation
Eric P. Glasbrenner, Yannik Gerdes, Sándor Varró +1
We express the dynamics of the two probability amplitudes in the elementary Landau-Zener problem in terms of the solution of the corresponding Riccati differential equation and ide…