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Analytic calculation of high-order corrections to quantum phase transitions of ultracold Bose gases in bipartite superlattices

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Abstract

We clarify some technical issues in the present generalized effective-potential Landau theory (GEPLT) to make the GEPLT more consistent and complete. Utilizing this clarified GEPLT, we analytically study the quantum phase transitions of ultracold Bose gases in bipartite superlattices at zero temperature. The corresponding quantum phase boundaries are analytically calculated up to the third-order hopping, which are in excellent agreement with the quantum Monte Carlo (QMC) simulations.

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Acknowledgements

Z. L. acknowledges inspiring discussions with Yan Chen, Ying Jiang and also thanks Tao Wang for providing the QMC data and useful discussions. Z. L. wishes also to thank Dan Bo Zhang for reading and providing useful comments on this manuscript. This work was supported by the State Key Programs of China (Grant Nos. 2017YFA0304204 and 2016YFA0300504), and the National Natural Science Foundation of China (Grant Nos. 11625416, and 11474064).

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Authors and Affiliations

  1. Department of Physics and State Key Laboratory of Surface Physics, Fudan University, Shanghai, 200433, China

    Zhi Lin & Wanli Liu

  2. Shenzhen Institute of Research and Innovation, The University of Hong Kong, Shenzhen, 518063, China

    Zhi Lin

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Lin, Z., Liu, W. Analytic calculation of high-order corrections to quantum phase transitions of ultracold Bose gases in bipartite superlattices. Front. Phys. 13, 136402 (2018). https://doi.org/10.1007/s11467-018-0811-1

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