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arXiv quant-ph/0309188quant-phcond-mat.str-el
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自旋链中的关联函数与信息论

Correlation Functions in Spin Chains and Information Theory

B. -Q. Jin, V. E. Korepin

摘要:

反铁磁自旋链在凝聚态物理和统计力学中具有重要的作用。最近,XXX自旋链被讨论与信息论。我们在这里考虑最近由F.Verstraete,M.Popp和J.I.Cirac提出的局域纠缠。这就是在一个由许多相互作用的自旋组成的系统中,通过对其他单个自旋进行局部测量,平均可以在两个自旋上定位多少纠缠。考虑反铁磁自旋链中的基态,研究了两个自旋之间的可定域纠缠随距离的变化。我们从各向同性自旋链开始。然后研究了各向异性和磁场的影响。我们的结论是,各向异性增加局域纠缠。我们发现XXZ自旋链的临界指数与磁场有明显的依赖关系。我们发现,高对称性的情况对应着高灵敏度的磁场。我们还计算了测量前的并发度,以说明测量提高了并发度。

英文摘要:

Antiferromagnetic spin chains play an important role in condensed matter physics and statistical mechanics. Recently XXX spin chain was discussed in relation to the information theory. We consider here localizable entanglement, introduced recently by F.Verstraete, M.Popp and J.I.Cirac. That is how much entanglement can be localized on two spins on average by performing local measurements on the other individual spins in a system of many interacting spins. We consider the ground state in antiferromagnetic spin chains and study localizable entanglement between two spins as a function of the distance. We start with isotropic spin chain. Then we study effect of anisotropy and magnetic field. We conclude that anisotropy increases localizable entanglement. We found an explicit dependence of critical exponents in XXZ spin chain on magnetic field. We discovered that the cases of high symmetry corresponds to high sensitivity of magnetic field. We also calculated the concurrence before the measurement to illustrate that the measurment raises the concurrence.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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