论文标题
费米金系统的共同信息
Mutual information for fermionic systems
论文作者
论文摘要
我们在各种二次费米子链中研究了共同信息(MI)的行为,具有和没有配对的术语,并且都具有短距离和长时间的跳跃。所考虑的模型也包括基塔夫模型的短距离限制和远程版本,以及在对数或非阶段性上违反了纠缠熵的区域定律是违反的。在所有调查的情况下,当大多数对数违反该区域法时,MI是共形四点比X的单调增加功能。如果存在对区域定律的非同源侵犯,则发现在MI中可以观察到非单调特征,并且四点比率以及参数的其他自然组合被认为不足以捕获MI的整个结构,并折叠到单个曲线上。我们将这种行为解释为峰值结构与贝尔对的非普遍空间配置有关的迹象。对于展示完美卷定律的模型,MI消失了。对于Kitaev模型,MI在X-> 0中消失,并且在间隙的情况下保持为零至有限的X。通常,配对的范围更大,对应于小x时MI的降低。提出了与ADS/CFT对应关系在强耦合极限中获得的结果的讨论。
We study the behavior of the mutual information (MI) in various quadratic fermionic chains, with and without pairing terms and both with short- and long-range hoppings. The models considered include the short-range limit and long-range versions of the Kitaev model as well, and also cases in which the area law for the entanglement entropy is - logarithmically or non-logarithmically - violated. In all cases surveyed, when the area law is violated at most logarithmically, the MI is a monotonically increasing function of the conformal four-point ratio x. Where non-logarithmic violations of the area law are present, non-monotonic features can be observed in the MI and the four-point ratio, as well as other natural combinations of the parameters, is found not to be sufficient to capture the whole structure of the MI with a collapse onto a single curve. We interpret this behavior as a sign that the structure of peaks is related to a non-universal spatial configuration of Bell pairs. For the model exhibiting a perfect volume law, the MI vanishes identically. For the Kitaev model the MI is vanishing for x -> 0 and it remains zero up to a finite x in the gapped case. In general, a larger range of the pairing corresponds to a reduction of the MI at small x. A discussion of the comparison with the results obtained by the AdS/CFT correspondence in the strong coupling limit is presented.