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Influence of counter-rotating interaction on quantum phase transition in Dicke-Hubbard lattice: an extended coherent-state approach

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Abstract

We investigate the ground-state behavior of the Dicke-Hubbard model including counter-rotating terms. By generalizing an extended coherent-state approach within mean-field theory, we self-consistently obtain the ground-state energy and delocalized order parameter. Localization–delocalization quantum phase transition of photons is clearly observed by breaking the parity symmetry. Particularly, Mott lobes are fully suppressed, and the delocalized order parameter shows monotonic enhancement by increasing qubit–cavity coupling strength, in sharp contrast to the Dicke-Hubbard model under rotating-wave approximation. Moreover, the corresponding phase boundaries are stabilized by decreasing photon hopping strength, compared to the Rabi-Hubbard model.

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Acknowledgments

We thank Mr. Shu He and Prof. Qing-Hu Chen for helpful discussions. This work was supported by the National Natural Science Foundation of Special Theoretical Physics under Grant No. 11547124. Chen Wang has been partially supported by the National Natural Science Foundation of China under Grant Nos. 11574052 and 11504074.

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  1. Department of Physics, Hangzhou Dianzi University, Hangzhou, 310018, Zhejiang, China

    Yongchuan Lu & Chen Wang

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  1. Yongchuan Lu
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  2. Chen Wang
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Correspondence to Chen Wang.

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Lu, Y., Wang, C. Influence of counter-rotating interaction on quantum phase transition in Dicke-Hubbard lattice: an extended coherent-state approach. Quantum Inf Process 15, 4347–4359 (2016). https://doi.org/10.1007/s11128-016-1392-y

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