arXiv quant-ph/02050302002-05quant-ph

量子点系统中腔场诱导最大自旋纠缠的产生

Generation of maximum spin entanglement induced by cavity field in quantum-dot systems

A. Miranowicz, S. K. Ozdemir, Yu-xi Liu, M. Koashi, N. Imoto, Y. Hirayama

备注：: 6 pages, 7 figures, to appear in Phys. Rev. A
发表信息：: Phys. Rev. A 65, 062321 (2002)
DOI：: 10.1103/PhysRevA.65.062321

摘要：

在Imamoglu等人的模型中量子点的导带电子自旋的等效近邻相互作用[Phys. Rev. Lett. 83，4204（1999）]进行了分析。解析解及其施密特分解的发现和应用，以评估有多少初始激发的点可以纠缠到其余的点，如果他们都是最初解开。结果表明，理想的最大纠缠态（MES）只能产生在系统中的最多6个点与一个单一的点初始激发。它还表明，高度纠缠态，近似MES具有良好的精度，仍然可以产生在系统中的奇数个点，几乎一半的人被激发。通过增加具有固定数量激发的系统中的点的总数，观察到纠缠的突然减少。

英文摘要：

Equivalent-neighbor interactions of the conduction-band electron spins of quantum dots in the model of Imamoglu et al. [Phys. Rev. Lett. 83, 4204 (1999)] are analyzed. Analytical solution and its Schmidt decomposition are found and applied to evaluate how much the initially excited dots can be entangled to the remaining dots if all of them are initially disentangled. It is demonstrated that the perfect maximally entangled states (MES) can only be generated in the systems of up to 6 dots with a single dot initially excited. It is also shown that highly entangled states, approximating the MES with a good accuracy, can still be generated in systems of odd number of dots with almost half of them being excited. A sudden decrease of entanglement is observed by increasing the total number of dots in a system with a fixed number of excitations.

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