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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

Abstract

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。

DOI
10.3788/aos201131.0427001

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

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量纠纷在量计算加速起的作用广泛地被争论了，相信那量计算“如果纠纷是不在的，在古典计算上的 s 加速是不可能的，当其它宣称纠纷的存在不是为一些量算法的一个必要条件时。这篇论文系统地讨论这个问题。与古典资源模仿量计算被分析，在已知的算法的纠纷被考察。纠纷的存在是处于纯状态或伪 pure 状态量计算加速的一个必要然而并非足够的条件，这被结束。有混合状态的盒子仍然保持开。进一步从介绍结果研究量计算愿望利益。

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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 examine the nonlinear dynamical behavior of a spinor Bose-Einstein condensate in a double-well potential. Considering a condensate with large number of atoms, such that it can be described using the mean field theory, we separate the spinor dynamics from the spatial dynamics under the single-mode approximation. We limit ourselves to certain initial conditions under which the spatial mode is frozen so that we can focus on the spinor dynamics only. Identifying collective spin variables of our system, we derive the corresponding nonlinear equations of motion for them. Employing standard stability analysis, we find and characterize fixed points of the system. For a wide range of physical parameters such as tunneling strength and non-linear interactions, as well as for various initial preparations of the system, we identify qualitatively different dynamical regimes possible in the system. In particular, complete and incomplete oscillations of spin variables between quantum wells are found. We also show that by bringing some fixed points close to each other in the phase space of the system, it is possible to induce amplitude modulation to those otherwise regular tunneling oscillations.
量纠纷在量计算加速起的作用广泛地被争论了，相信那量计算“如果纠纷是不在的，在古典计算上的 s 加速是不可能的，当其它宣称纠纷的存在不是为一些量算法的一个必要条件时。这篇论文系统地讨论这个问题。与古典资源模仿量计算被分析，在已知的算法的纠纷被考察。纠纷的存在是处于纯状态或伪 pure 状态量计算加速的一个必要然而并非足够的条件，这被结束。有混合状态的盒子仍然保持开。进一步从介绍结果研究量计算愿望利益。