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

作　　者：Zhi Lin Wanli Liu 

机构地区：[1]Department of Physics and State Key Laboratory of Surface Physics, Fudan University, Shanghai 200433, China [2]Shenzhen Institute of Research and Innovation, The University of Hong Kong, Shenzhen 518063, China

出　　处：《Frontiers of physics》2018年第5期133-140,共8页物理学前沿（英文版）

基　　金：Z. L. acknowledges inspiring discussions with Yan Chen, Ying Jiang and also thanks Tao Wang for provid- ing 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）.

摘　　要：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 temper- ature. 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.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 temper- ature. 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.

关 键 词：ultracold Bose gases quantum phase transition bipartite superlattice generalizedeffective-potential Landau theory 

分 类 号：TN946.7[电子电信—信号与信息处理] TG13[电子电信—信息与通信工程]