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理论物理通讯：英文版

Quantum Phase Transition in Two Species of Cold Bosonic Atoms

Yu, Zhao-Xian, Liang Liang, Jiu-Qing, Jiao, Zhiyong, Wang, Ji-Suo

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

在这封信， superfluid-Mott-insulator 分阶段执行 two-speciescold bosonic 原子的转变在一光格子被学习。这个模型的 Hamiltonian 是 Bogliubov 转变并且由光格子的倒置对称的 diagonalizedby 工具，这个系统的精力光谱被获得。从刺激光谱的精力差距，量阶段转变条件被获得，它被在联合的 theinteratomic 排斥和隧道之间的比赛决定。在那里存在，这被发现当拿零波浪向量限制时，平常的液体分阶段执行。

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在这封信， superfluid-Mott-insulator 分阶段执行 two-speciescold bosonic 原子的转变在一光格子被学习。这个模型的 Hamiltonian 是 Bogliubov 转变并且由光格子的倒置对称的 diagonalizedby 工具，这个系统的精力光谱被获得。从刺激光谱的精力差距，量阶段转变条件被获得，它被在联合的 theinteratomic 排斥和隧道之间的比赛决定。在那里存在，这被发现当拿零波浪向量限制时，平常的液体分阶段执行。
In this letter, the superfluid-Mott-insulator phase transition of two-species cold bosonic atoms in an optical lattices is studied. The Hamiltonian of this model is diagonalized by means of Bogliubov transformations and by the inversion symmetry of the optical lattice, the energy spectrum of this system is obtained. From the energy gap of the excitation spectrum, the quantum phase transition condition is obtained and it is determined by the competition between the interatomic repulsions and the tunnel coupling. It is found that there exists an ordinary fluid phase when taking the zero wave-vector limit.
在一个光格子描述交往的波色子的 Bose-Hubbard 模型在大草原上的树丛阶段的附近与单个离子的 anisotropy 被归结为一个简单 spin-1 XY 模型。我们在有效模型上基于一个限制苏(3 ) 伪波色子代表建议一个吝啬地的理论学习 superfluid-Mott-insulator 阶段转变的性质。在 theBrillouin 地区的基本刺激系列和平均粒子数字变化集中的 Bycalculating ，我们发现精力差距连续地消失在附近(J_( XY ) /J_z ) _c ≈0 .175 并且(J_( XY ) /J_z ) _c ≈ 0.094 为 2D 和 3D 立方的格子分别地，在超流体顺序参数从零来，进超流体的莫特绝缘体状态变化说的地方。
We study a doped two-dimensional bosonic Hubbard model with two hard-core species using quantum Monte Carlo simulations. With doping we find five distinct phases, including a normal liquid at higher temperature, an antiferromagnetically ordered Mott insulator, a region of coexistent antiferromagnetic and superfluid phases near half filling, and farther away from half filling, a superfluid phase and a phase-separated ferromagnet. In the latter, the heavy species has Mott behavior with integer fillings, while the light species shows Mott and superfluid behaviors. The global entropy of this phase is relatively high which may provide a new avenue to obtain a polarized phase or a Mott insulator in cold-atom experiments.