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arXiv 1209.4166quant-ph
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强磁场中s=1/2核自旋系统的量子关联

Quantum correlations in a system of nuclear s=1/2 spins in a strong magnetic field

E. B. Fel'dman, E. I. Kuznetsova, M. A. Yurishchev

备注：
14 pages, 3 figures
发表信息：
J. Phys. A: Math. Theor. V 45, 475304 (2012)
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摘要：

研究了自旋分子（原子）气体填充纳米孔中一对核自旋$s=1/2$的纠缠和量子不协调。得到了描述纳米孔中偶极耦合自旋动力学的关联函数，并由中心对称的约化密度矩阵得到了自旋对纠缠与温度和自旋数的关系.对于任意的CS密度矩阵，得到了并发度的解析表达式.结果表明，量子不和谐作为量子关联的措施达到一个显着的值在低温下。研究还表明，所考虑的模型中的不协调具有“闪烁”的性质，并在系统的时间演化过程中周期性地消失。研究了任意$4\times 4$ CS密度矩阵的几何不协调性。

英文摘要：

Entanglement and quantum discord for a pair of nuclear spins $s=1/2$ in a nanopore filled with a gas of spin-carrying molecules (atoms) are studied. The correlation functions describing dynamics of dipolar coupled spins in a nanopore are found. The dependence of spin-pair entanglement on the temperature and the number of spins is obtained from the reduced density matrix, which is centrosymmetric (CS). An analytic expression for the concurrence is obtained for an arbitrary CS density matrix. It is shown that the quantum discord as a measure of quantum correlations attains a significant value at low temperatures. It is shown also that the discord in the considered model has "flickering" character and disappears periodically in the course of the time evolution of the system. The geometric discord is studied for arbitrary $4\times 4$ CS density matrices.

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