Frontiers of Physics

, 13:136402 | Cite as

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

  • Zhi LinEmail author
  • Wanli LiuEmail author
Research Article


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.


ultracold Bose gases quantum phase transition bipartite superlattice generalized effective-potential Landau theory 



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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Copyright information

© Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Physics and State Key Laboratory of Surface PhysicsFudan UniversityShanghaiChina
  2. 2.Shenzhen Institute of Research and InnovationThe University of Hong KongShenzhenChina

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