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arXiv 0910.0016quant-phcond-mat.other
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多体原子与光学系统中的长距离纠缠

Long-distance entanglement in many-body atomic and optical systems

Salvatore M. Giampaolo, Fabrizio Illuminati

摘要:

我们讨论了量子自旋模型基态的长距离纠缠现象,它在高保真和鲁棒量子通信中的应用,以及它在光晶格和耦合光腔阵列中的超冷原子多体系统中的实现。我们研究了不同的位点依赖性相互作用耦合模式,挑出两个一般设置:在系统的基态中允许完美长距离纠缠(LDE)的模式,即使得端到端纠缠在热力学极限中保持有限,以及在系统的基态中准长距离纠缠(QLDE)的模式,即,使得随着自旋链长度的增加,端到端的纠缠以非常慢的幂律衰减消失。我们讨论了这些模型在超冷玻色子原子在光晶格中的物理实现。我们展示了如何,使用适当的工程超晶格结构或利用存在的边缘杂质的晶格与单周期性,它是可能实现的模型赋予非零LDE或QLDE。然后,我们研究如何实现模型,优化的鲁棒性QLDE在有限的温度下,并在存在缺陷的情况下,使用适当设计的耦合光学腔阵列。最后,我们介绍了LDE为基础的计划的长距离量子隐形传态的耦合腔的线性阵列,并表明,他们允许高保真度和高成功率,即使在适度的高温。

英文摘要:

We discuss the phenomenon of long-distance entanglement in the ground state of quantum spin models, its use in high-fidelity and robust quantum communication, and its realization in many-body systems of ultracold atoms in optical lattices and in arrays of coupled optical cavities. We investigate different patterns of site-dependent interaction couplings, singling out two general settings: Patterns that allow for perfect long-distance entanglement (LDE) in the ground state of the system, namely such that the end-to-end entanglement remains finite in the thermodynamic limit, and patterns of quasi long-distance entanglement (QLDE) in the ground state of the system, namely, such such that the end-to-end entanglement vanishes with a very slow power-law decay as the length of the spin chain is increased. We discuss physical realizations of these models in ensembles of ultracold bosonic atoms loaded in optical lattices. We show how, using either suitably engineered super-lattice structures or exploiting the presence of edge impurities in lattices with single periodicity, it is possible to realize models endowed with nonvanishing LDE or QLDE. We then study how to realize models that optimize the robustness of QLDE at finite temperature and in the presence of imperfections using suitably engineered arrays of coupled optical cavities. We finally introduce LDE-based schemes of long-distance quantum teleportation in linear arrays of coupled cavities and show that they allow for high-fidelity and high success rates even at moderately high temperatures.

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