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Fast generation of N-atom Greenberger–Horne–Zeilinger state in separate coupled cavities via transitionless quantum driving

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Abstract

By jointly using quantum Zeno dynamics and the approach of “transitionless quantum driving (TQD)” proposed by Berry to construct shortcuts to adiabatic passage, we propose an efficient scheme to fast generate multiatom Greenberger–Horne–Zeilinger (GHZ) state in separate cavities connected by optical fibers only by one-step manipulation. We first detail the generation of the three-atom GHZ state via TQD; then, we compare the proposed TQD scheme with the traditional ones with adiabatic passage. At last, the influence of various decoherence factors, such as spontaneous emission, cavity decay and fiber photon leakage, is discussed by numerical simulations. All of the results show that the present TQD scheme is fast and insensitive to atomic spontaneous emission and fiber photon leakage. Furthermore, the scheme can be directly generalized to realize N-atom GHZ state generation by the same principle in theory.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grants Nos. 11105030 and 11374054, the Foundation of Ministry of Education of China under Grant No. 212085, and the Major State Basic Research Development Program of China under Grant No. 2012CB921601.

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Authors and Affiliations

  1. Department of Physics, Fuzhou University, Fuzhou, 350002, China

    Wu-Jiang Shan, Yan Xia & Ye-Hong Chen

  2. Department of Physics, Harbin Institute of Technology, Harbin, 150001, China

    Jie Song

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  1. Wu-Jiang Shan
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  2. Yan Xia
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Correspondence to Yan Xia.

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Shan, WJ., Xia, Y., Chen, YH. et al. Fast generation of N-atom Greenberger–Horne–Zeilinger state in separate coupled cavities via transitionless quantum driving. Quantum Inf Process 15, 2359–2376 (2016). https://doi.org/10.1007/s11128-016-1284-1

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