玻色哈伯德模型的有限系统密度矩阵重整化群算法  

Finite System Density Matrix Renormalization Group Algorithm for Bose-Hubbard Model

作　　者：周文慧[1] 王佳[1] 符力平[1] 

机构地区：[1]中南大学物理科学与技术学院,湖南长沙410083

出　　处：《量子光学学报》2011年第4期284-288,共5页Journal of Quantum Optics

基　　金：中南大学研究生学位论文创新(2010ssxt126)

摘　　要：运用有限系统密度矩阵重整化群算法(FS-DMRG)研究一维光格子中超冷玻色原子模型—Bose-Hubbard模型在绝对零度下发生超流(SF)—Mott绝缘(MI)相变的特征。通过计算粒子局域密度,单粒子能隙和压缩系数,分析体系分别处于两种状态下的特征,并利用相图曲线得到体系发生相变的临界值。运用该数值算法得到的结果比现有其他解析解更准确。In this paper, we use the finite-size density-matrix renormalization group（ FS-DMRG） method to study the characters of the quantum phase transiton from the superfluid （SF） to the Mott insulator （MI） of Bose-Hubbard model, which can describe ultracold Boses in the local density, single-particle energy gap and the compressi two states. Besides that, the critical value of transition can results calculated by this numerical method are more accurate one-dimension optical lattices. By calculating bility, be obt we can discuss the characteristics of the ained by the phase diagram. All these other analytic solutions.

关 键 词：Bose—Hubbard模型 密度矩阵重整化群 超流相 Mott绝缘相 压缩系数 

分 类 号：O431[机械工程—光学工程]