Abstract

Simultaneous quantum correlations between two spins in magnetic nanostructures are considered in the model of a linear chain of a finite number of atoms with exchange interaction between electron spins of neighboring atoms in the framework of the Heisenberg ferromagnetism theory. We assume that in the initial state, the spins of all chain atoms except the first two are oriented along the same direction. The spins of the first two atoms are flipped. Due to the exchange interaction, this initial state generates a spin flip wave along the chain. The expressions obtained for nonstationary quantum amplitudes of the flip probability waves for an even number of spins can be used for calculating quantum correlations between two spins separated by a large distance in a chain. Numerical calculations of the spin correlator reveal that the correlation between two spins in the chain occurs with a delay on the order of the time of propagation of the exchange interaction along the spin chain. After the delay, the spin correlation amplitude abruptly increases followed by subsequent oscillatory temporal behavior.

中文翻译：

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磁性纳米结构中空间量子相关性的延迟

摘要

在海森堡铁磁理论的框架内，在有限数量原子的线性链模型中考虑了磁性纳米结构中两个自旋之间的同时量子相关性，相邻原子的电子自旋之间具有交换相互作用。我们假设在初始状态下，除前两个原子外，所有链原子的自旋均沿相同方向取向。前两个原子的自旋被翻转。由于交换相互作用，此初始状态沿链产生自旋翻转波。对于偶数个自旋，针对翻转概率波的非平稳量子振幅获得的表达式可用于计算在链中相距较大距离的两个自旋之间的量子相关性。自旋相关器的数值计算表明，链中两个自旋之间的相关发生时，交换相互作用沿着自旋链的传播时间的顺序有所延迟。延迟之后，自旋相关幅度突然增加，随后出现随后的振荡时间行为。