title: Efficient shortcuts to adiabatic passage for three-dimensional entanglement generation via transitionless quantum driving.
abstract: We propose an effective scheme of shortcuts to adiabaticity for generating a three-dimensional entanglement of two atoms trapped in a cavity using the transitionless quantum driving (TQD) approach. The key point of this approach is to construct an effective Hamiltonian that drives the dynamics of a system along instantaneous eigenstates of a reference Hamiltonian to reproduce the same final state as that of an adiabatic process within a much shorter time. In this paper, the shortcuts to adiabatic passage are constructed by introducing two auxiliary excited levels in each atom and applying extra cavity modes and classical fields to drive the relevant transitions. Thereby, the three-dimensional entanglement is obtained with a faster rate than that in the adiabatic passage. Moreover, the influences of atomic spontaneous emission and photon loss on the fidelity are discussed by numerical simulation. The results show that the speed of entanglement implementation is greatly improved by the use of adiabatic shortcuts and that this entanglement implementation is robust against decoherence. This will be beneficial to the preparation of high-dimensional entanglement in experiment and provides the necessary conditions for the application of high-dimensional entangled states in quantum information processing.
authors: Department of Physics, College of Science, Yanbian University, Yanji, Jilin 133002, China.
authors: Shuang
authors: S
authors: He
authors: Department of Physics, College of Science, Yanbian University, Yanji, Jilin 133002, China.|School of Physical Science &Engineering and Key Laboratory of Materials Physics of Ministry of Education of China, Zhengzhou University, Zhengzhou 450052 China.
authors: Shi-Lei
authors: SL
authors: Su
authors: Department of Physics, College of Science, Yanbian University, Yanji, Jilin 133002, China.
authors: Dong-Yang
authors: DY
authors: Wang
authors: Department of Physics, College of Science, Yanbian University, Yanji, Jilin 133002, China.
authors: Wen-Mei
authors: WM
authors: Sun
authors: Department of Physics, College of Science, Yanbian University, Yanji, Jilin 133002, China.
authors: Cheng-Hua
authors: CH
authors: Bai
authors: Department of Physics, College of Science, Yanbian University, Yanji, Jilin 133002, China.
authors: Ai-Dong
authors: AD
authors: Zhu
authors: Department of Physics, College of Science, Yanbian University, Yanji, Jilin 133002, China.
authors: Hong-Fu
authors: HF
authors: Wang
authors: Department of Physics, College of Science, Yanbian University, Yanji, Jilin 133002, China.
authors: Shou
authors: S
authors: Zhang