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arXiv 1802.09042quant-ph
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NMR多脉冲自旋锁定实验中量子关联的理论研究

Theoretical investigations of quantum correlations in NMR multiple-pulse spin-locking experiments

S. A. Gerasev, A. V. Fedorova, E. B. Fel'dman, E. I. Kuznetsova

摘要:

在核磁共振多脉冲自旋锁定实验中,对具有偶极-偶极相互作用的双自旋系统的量子关联进行了理论研究。我们考虑了两种多脉冲自旋锁定方案。第一种方案仅由$π/2$脉冲组成,并且脉冲之间的延迟可以不同。第二种方案包含$φ$ -脉冲($0<φ<π$)并且在它们之间具有相等的延迟。我们计算了两个方案的初始可分离状态的纠缠。我们证明了在任意温度下,当$π/2$ -脉冲之间的延迟相等时,第一种方案不存在纠缠。在毫开尔文温度下,在$φ=π/4$的第二方案中,在脉冲序列的几个周期之后出现纠缠。所需的周期数随温度的升高而增加。我们证明了纠缠度与多脉冲序列周期数的关系。在多脉冲自旋锁定实验的第一个方案中,在不同温度下得到了量子不和谐。

英文摘要:

Quantum correlations are investigated theoretically in a two-spin system with the dipole-dipole interactions in the NMR multiple-pulse spin-locking experiments. We consider two schemes of the multiple-pulse spin-locking. The first scheme consists of $π/2$-pulses only and the delays between the pulses can differ. The second scheme contains $φ$-pulses ($0<φ<π$) and has equal delays between them. We calculate entanglement for both schemes for an initial separable state. We show that entanglement is absent for the first scheme at equal delays between $π/2$-pulses at arbitraty temperatures. Entanglement emerges after several periods of the pulse sequence in the second scheme at $φ=π/4$ at milliKelvin temperatures. The necessary number of the periods increases with increasing temperature. We demonstrate the dependence of entanglement on the number of the periods of the multiple-pulse sequence. Quantum discord is obtained for the first scheme of the multiple-pulse spin-locking experiment at different temperatures.

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