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Acta Optica Sinica

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

陈菁 Chen Jing, 郭彦青 Guo Yanqing, 史旭光 Shi Xuguang

Published Jan 1, 2011• 0 citations
Publisher
DOI
10.3788/aos20113104.427001

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

陈菁 Chen Jing, 郭彦青 Guo Yanqing, 史旭光 Shi Xuguang

Acta Optica Sinica•Jan 1, 2011•0 citations

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

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We propose a spin-half approximation method for two-component condensation in double wells to discuss the quantum entanglement of two components. This approximation is presented to be valid under stationary tunneling effect for odd particle number of each component. The evolution of the entanglement is found to be affected by the particle number both quantitatively and qualitatively. In detail, the maximal entanglement are shown to be hyperbolic like with respect to tunneling rate and time. To successively obtain large and long time sustained entanglement, the particle number should not be large.

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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。
We study quantum dynamics of a Bose-Einstein condensate of spin-1 atoms inside a double-well potential. Under the single spatial mode approximation for condensate wave functions localized within each of the two wells, we examine quantum entanglement and pseudo-spin-squeezing properties in both the Rabi and Josephson regimes. Quantum fluctuations is found to be more stable leading to robust multipartite entanglement in the lower end of the Josephson regime, or the mean field self-trapped region. Substantial multipartite entanglement is witnessed not only due to pseudo-spin-squeezing by the axis-twisting interaction but also from redistribution of mode-entangled atoms between the wells by the tunneling coupling.
We propose a spin-half approximation method for two-component condensation in double wells to discuss the quantum entanglement of two components. This approximation is presented to be valid under stationary tunneling effect for odd particle number of each component. The evolution of the entanglement is found to be affected by the particle number both quantitatively and qualitatively. In detail, the maximal entanglement are shown to be hyperbolic like with respect to tunneling rate and time. To successively obtain large and long time sustained entanglement, the particle number should not be large.