Abstract
We propose an efficient scheme to drive two atoms in two coupled cavities into a two-atom singlet state via quantum Zeno dynamics and virtual excitations by one step. Then, we convert the two-atom singlet state into a three-atom singlet state in three coupled bimodal cavities with the same principle. We also discuss the influence of decoherence induced by cavity decay and atomic spontaneous emission by numerical calculation. This scheme is robust against both the cavity decay and atomic spontaneous emission since there are no excited cavity fields involved during the operation process, and the atoms are only virtually excited. Actually, if multi-level atoms and multi-mode cavities are applicable, we can convert the (\(n-1\))-atom (\(n\ge 3\)) singlet state into a \(n\)-atom singlet state in coupled cavity arrays with the same principle in theory.
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Acknowledgments
This work was supported by the National Natural Science Foundation of China under Grant No. 11105030, the Natural Science Foundation of Fuzhou University of China under Grant Nos. XRC-0976 and 2010-XQ-28, the funds from Education Department of Fujian Province of China under Grant Nos. JA11005, JA10009 and JA10039, the National Natural Science Foundation of Fujian Province of China under Grant Nos. 2010J01006 and 2012J01269, the Foundation of Ministry of Education of China under Grant No. 212085.
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Chen, YH., Xia, Y. & Song, J. Deterministic generation of singlet states for \(N\)-atoms in coupled cavities via quantum Zeno dynamics. Quantum Inf Process 13, 1857–1877 (2014). https://doi.org/10.1007/s11128-014-0772-4
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DOI: https://doi.org/10.1007/s11128-014-0772-4