Tuning the initial phase to control the final state of a driven qubit
arXiv:2308.03571 · doi:10.1103/PhysRevA.109.022409
Abstract
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.
References in corpus (9)
- Two-level systems driven by large-amplitude fields
- Coherent destruction of tunneling, dynamic localization and the Landau-Zener formula
- Decoherence in a scalable adiabatic quantum computer
- Landau-Zener transitions in qubits controlled by electromagnetic fields
- Large-amplitude driving of a superconducting artificial atom: Interferometry, cooling, and amplitude spectroscopy
- Interaction of carrier envelope phase-stable laser pulses with graphene: the transition from the weak-field to the strong-field regime
- Feedback-controlled adiabatic quantum computation
- On the applicability of the Landau-Zener formula to axion-photon conversion
- Quantum phase measurement for two-qubit states in an open waveguide