Quantum entanglement in SU(3) lattice Yang-Mills theory at zero and finite temperatures
Quantum entanglement in SU(3) lattice Yang-Mills theory at zero and finite temperatures
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零温度和有限温度下 SU(3) 晶格杨-米尔斯理论中的量子纠缠
DOI：
10.22323/1.105.0281
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
V. Zakharov
中科院分区：
文献类型：
--
作者：
Y. Nakagawa;Atsushi Nakamura;S. Motoki;V. Zakharov
我们通过在限制和解除限制阶段使用 SU(3) 淬火晶格规范模拟计算 $\alpha$ 纠缠熵（$\alpha=2$）来检查 Yang-Mills 理论的纠缠性质。在限制阶段，$\alpha$ 熵相对于其纠缠性质感兴趣的子区域大小 $l$ 的导数，缩放为 $1/l^3$，并且在我们的统计误差内找不到明显的不连续性。解除限制阶段的$\alpha$熵在$l$处饱和。饱和值与纯杨-米尔斯理论的热熵相当，表明$\alpha$熵在解约束阶段服从大$l$体积定律。
We examine the entanglement properties of the Yang-Mills theory by calculating $\alpha$ entanglement entropy with $\alpha=2$ using a SU(3) quenched lattice gauge simulation both in the confinement and the deconfinement phases. In the confinement phase, the derivative of the $\alpha$ entropy with respect to the size $l$ of the subregion, whose entanglement properties are interested in, scales as $1/l^3$, and a clear discontinuity cannot be found within our statistical errors. The $\alpha$ entropy in the deconfinement phase saturates at large $l$. The saturation value is comparable with the thermal entropy of the pure Yang-Mills theory, indicating that the $\alpha$ entropy obeys the volume law at large $l$ in the deconfinement phase.