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Supervised by Ministry of Industry and Information Technology of The People's Republic of China Sponsored by Harbin Institute of Technology Editor-in-chief Yu Zhou ISSNISSN 1005-9113 CNCN 23-1378/T

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Related citation:Rongsheng Han,Zhihong Liu,Liang Chen,Jialu Fu.Study on Mott-Insulator-Superfluid Phase Transition in Symmetric and Unsymmetric Double-Chain Bose-Hubbard Model[J].Journal of Harbin Institute Of Technology(New Series),2019,26(1):61-67.DOI:10.11916/j.issn.1005-9113.17015.
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Study on Mott-Insulator-Superfluid Phase Transition in Symmetric and Unsymmetric Double-Chain Bose-Hubbard Model
Author NameAffiliation
Rongsheng Han Mathematics and Physics Department, North China Electric Power University,Beijing 102206, China 
Zhihong Liu Mathematics and Physics Department, North China Electric Power University,Beijing 102206, China 
Liang Chen Mathematics and Physics Department, North China Electric Power University,Beijing 102206, China 
Jialu Fu Mathematics and Physics Department, North China Electric Power University,Beijing 102206, China 
Abstract:
The symmetric and the asymmetric double-chain Bose-Hubbard Models (BHMs) are studied by the mean-field theory. By using Landau's quantum phase transition theory, phase diagrams for systems with different hopping energies and repulsive interactions are obtained. Thereby, Mott-insulator-superfluid (MI-SF) phase transition boundaries are determined. Our results show that tunneling effects between two chains provide additional channels for particles hopping between corresponding optical lattice sites of different chains, which makes easier for systems to transit from MI to SF phase. The two-site parity function is also utilized to investigate the properties of the system near the quantum phase transit point.We found that the increase of inter-chain hopping will reinforce the tunneling effects between two chains, and reduce the intra-chain tunneling effects within the same chain.
Key words:  Bose-Hubbard model  Mott Insulator-Superfluid Phase Transition  Landau theory
DOI:10.11916/j.issn.1005-9113.17015
Clc Number:O469
Fund:
Descriptions in Chinese:
  

对称和非对称双链Bose—Hubbard模型中的绝缘—超流相变研究

韩榕生,刘志红,陈亮,付佳璐

(华北电力大学 数理学院,北京 102206)

创新点说明:

本文针对双链Bose—Hubbard模型,研究了在对称和反对称情况下系统的莫特绝缘—超流相变的性质。结合平均场理论、微扰论和朗道量子相变理论,研究了在不同跃迁相互作用强度和排斥相互作用强度下的系统相图,给出了相变边界条件,分析了链间跃迁相互作用对双链模型相变边界的影响。应用两格点宇称关联函数研究相变点附近的粒子—空穴关联性质。

研究目的:

超冷原子技术的高速发展,提供了一个很好的平台来模拟固体晶格环境。Bose—Hubbard模型常被用来研究超流—莫特绝缘相变,这一研究对量子操控、量子计算等领域的研究有重要的意义。本文针对对称和反对称的双链Bose—Hubbard模型,研究在不同相互作用参数的情况下,系统的相变性质;探索链间跃迁相互作用对相变边界的影响,以及在相变点附近的关联性质。

研究方法、结果、结论:

采用平均场理论和微扰论求解对称和反对称的双链Bose—Hubbard模型;并基于Landau相变理论确定对称和反对称的双链Bose—Hubbard模型的相变边界条件。在对称双链Bose—Hubbard模型中,给出了莫特绝缘—超流相变的边界方程。我们发现,链间跃迁相互作用的增强,会增加超流区域的范围;在非对称双链Bose—Hubbard模型中,引入两个不同的序参量,确定了系统的莫特绝缘—超流相变的边界方程。计算结果表明,链间跃迁相互作用的增强,同样会增加超流区域的范围

利用两格点宇称关联函数研究相变点附近的粒子—空穴关联性质。应用两格点关联函数研究相变点附件的量子特性。发现链间跃迁相互作用的增强,会使粒子更倾向于在两条链之间跃迁,同时会减小链内的跃迁效应。

关键词:Bose—Hubbard模型,Mott绝缘—超流相变,朗道相变理论

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