自旋-1/2近似下双势阱中纠缠制备和特性研究  

Study on Preparation and Characteristics of Quantum Entanglement in Double Wells Using a Spin-1/2 Approximation

作　　者：陈菁[1] 郭彦青[2] 史旭光[1] 

机构地区：[1]北京林业大学理学院,北京100083 [2]大连海事大学物理系,辽宁大连116026

出　　处：《光学学报》2011年第4期264-270,共7页Acta Optica Sinica

基　　金：北京林业大学新进教师科研启动基金(BLX2007004)资助课题

摘　　要：作为量子理论的基础研究,在巨观系统中制备多粒子纠缠态一直是重要的课题,运用自旋-1/2近似的方法,研究束缚在双势阱中的两成份玻色-爱因斯坦(Bose-Einstein)凝聚体系的纠缠态生成问题。这种近似在稳定隧穿条件和奇数粒子条件下可证明是合理的,分别分析了有效哈密顿量和整体哈密顿量作用下的系统状态演化过程,最终得到纠缠度较大、持续时间较久的纠缠态,给出了最大纠缠出现的具体时刻,并讨论了系统参量对于纠缠度的影响。把即便是对于单成份凝聚体都很难解决的多体问题转化成了二体二能级的问题,不但大大简化了问题处理的难度,而且同样给出方便有效的纠缠度量。As the foundation of quantum theory,the preparation of many-particle entangled states in macroscopic systems is one of the major goals.A spin-1/2 approximation method is proposed to study the quantum entanglement of two-component Bose-Einstein condensates（BEC） trapped in double wells.This approximation is demonstrated to be valid under the stationary tunneling condition and for odd particle numbers of each component.The evolutionary process of system states are both analyzed under effective Hamiltonian and whole Hamiltonian.Strong and long time sustained entanglement with respect to tunneling rate and the exact time can be achieved.It is discussed that the effect of the system characteristics on the entangle degree.A multibody problem which is difficult even for single component BEC can be transformed to a bipartite two-state one by this theory,similarly,the entanglement measureent can be achived more effectively.

关 键 词：量子光学 量子纠缠制备 自旋-1/2近似 双势阱 纠缠度量 

分 类 号：O431.2[机械工程—光学工程]