Landau-Zener-Stuckelberg-Majorana transitions for interferometry and quantum control

Since the pioneering works by Landau, Zener, Stuckelberg, and Majorana (LZSM), it is known that driving a quantum two-level system results in tunneling between its states. Even though the interference between these transitions was known to be important, it is only recently that it became both accessible, controllable, and useful for engineering quantum systems [1]. An LZSM transition is a non-adiabatic transition of population between two tuned energy levels. We study many important properties of the LZSM transitions, such as constructive and destructive interference, occupation conservation transition, and single-qubit gates based on LZSM transitions.