The XY model coupled with an external system as a phonon system may be studied in terms of its own variables only. Hence, the effect of phonons external in such system can be included in a general class of functionals of the coordinates of the system only. The specific form of this influence functional representing the effect of definite and random forces of a linear dissipative system and combination of these are analyzed in detail. Thus the effect of the spin–phonon interaction on entanglement is investigated where we obtain a small effect of the spin–phonon coupling on von Neumann entropy.

中文翻译：

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自旋-1声子模型中自旋-声子耦合对量子相关性的影响

与外部系统（如声子系统）耦合的XY模型只能根据其自身变量进行研究。因此，这种系统中外部声子的作用只能包括在系统坐标的一般功能类中。详细分析了代表线性耗散系统的确定力和随机力的影响的这种影响函数的具体形式。因此，我们研究了自旋-声子相互作用对纠缠的影响，在此我们获得了自旋-声子耦合对冯·诺伊曼熵的小影响。