Physically feasible three-level transitionless quantum driving with multiple Schr\'{o}dinger dynamics

Three-level quantum systems, which possess some unique characteristics beyond two-level ones, such as electromagnetically induced transparency, coherent trapping, and Raman scatting, play important roles in solid-state quantum information processing. Here, we introduce an approach to implement the physically feasible three-level transitionless quantum driving with multiple Schr\"{o}dinger dynamics (MSDs). It can be used to control accurately population transfer and entanglement generation for three-level quantum systems in a nonadiabatic way. Moreover, we propose an experimentally realizable hybrid architecture, based on two nitrogen-vacancy-center ensembles coupled to a transmission line resonator, to realize our transitionless scheme which requires fewer physical resources and simple procedures, and it is more robust against environmental noises and control parameter variations than conventional adiabatic passage techniques. All these features inspire the further application of MSDs on robust quantum information processing in experiment.
Comment: 7 pages, 4 figures. A trivial error of typo on Eq. (17) in Phys. Rev. A 93, 052324 (2016) is corrected. This correction does not affect any other part of the paper, leaving unchanged our discussion. In fact, this equation in the first version of this paper shown on arXiv is correct