  A driven quantum system can experience Landau-Zener-Stuckelberg-Majorana
(LZSM) transitions between its states, when the respective energy levels
quasi-cross. If this quasicrossing is traversed repeatedly under periodic
driving, the trajectories can interfere either constructively or destructively.
In the latter case, known as coherent destruction of tunneling, the transition
between the energy states is suppressed. Even for the double-passage case, the
accumulated phase difference (also referred to as the Stuckelberg phase) can
lead to destructive interference, resulting in no transition. In this paper, we
discuss a similar process for the single-passage dynamics. We study the LZSM
single-passage problem starting from a superposition state. The phase
difference of this initial state results in interference. When this results in
either a zero or a unit transition probability, such a situation can be called
single-passage complete localization in a target state. The phase can be chosen
so that the occupation probabilities do not change after the transition, which
is analogous to the problem of transitionless driving. We demonstrate how
varying the system parameters (driving velocity, initial phase, initial
detuning) can be used for quantum coherent control.
