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理论物理通讯:英文版

Spontaneous U(1) Symmetry Breaking in Coupled Bose System

王影, 徐金荣, 陈理, 刘果红

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

补充说打破术语到 Bogoliubov 的家的 U ( 1 )对称为微弱地交往截断了 Hamiltonian HB 联合了 Bose 系统,由使用吝啬地的近似而非c数字近似,我们发现那经由在零温度的 Feshbach 回声,联合 Bose 系统的状态被概括苏( 1,1 )苏( 1,1 )协调状态。BoseEinstein 冷凝作用响应碎的自发的 U (1 ) 对称发生。

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补充说打破术语到 Bogoliubov 的家的 U ( 1 )对称为微弱地交往截断了 Hamiltonian HB 联合了 Bose 系统,由使用吝啬地的近似而非c数字近似,我们发现那经由在零温度的 Feshbach 回声,联合 Bose 系统的状态被概括苏( 1,1 )苏( 1,1 )协调状态。BoseEinstein 冷凝作用响应碎的自发的 U (1 ) 对称发生。
我们考察我们一条纺纱轨道的最近的试验性的实现和调查(那么) 联合 Bose 爱因斯坦冷凝物(BEC ) 和量堕落费密气体。由使用二相反繁殖的拉曼激光并且控制二拉曼激光的不同频率设计原子光相互作用,我们首先学习那么在 BEC 联合。然后,我们学习因此在费密气体联合。我们作为那么在费密气体联合的特点在旋转动力学和平衡状态的动量分发不对称现象观察旋转 dephasing。清楚地揭示那么联合费密气体的性质,我们也学习描绘精力动量分散和量状态的旋转作文的解决动量的无线电频率光谱学。我们与不同原子密度在不同 helicity 分支观察费米子表面的变化,它显示费密表面拓扑学的 Lifshitz 转变变化能被进一步使系统凉下来发现。最后,我们学习 ultracold 费密气体的解决动量的拉曼光谱学。
Based on Bogoliubov's truncated Hamiltonian H B for a weakly interacting Bose system, and adding a U(1) symmetry breaking term V 1/2 (λ a 0 +λ * a 0 + ) to H B , we show by using the coherent state theory and the mean-field approximation rather than the c-number approximations, that the Bose–Einstein condensation(BEC) occurs if and only if the U(1) symmetry of the system is spontaneously broken. The real ground state energy and the justification of the Bogoliubov c-number substitution are given by solving the Schrödinger eigenvalue equation and using the self-consistent condition.