3+1维中的高纠缠量子系统
Highly entangled quantum systems in 3+1 dimensions
摘要：
许多系统在多个空间维度上表现出纠缠熵的边界律标度。在这里，我描述了三个系统在3+1维违反边界定律的纠缠熵。第一种是磁场中的自由Weyl费米子，第二种是Weyl费米子系统的全息强耦合推广，第三种是存在位错的强拓扑绝缘体。这些系统是统一的低能量的描述，包括许多无间隙的1+1维模式的存在。最后，我对寻找量子物质的高度纠缠态和一些潜在的实验签名做了一些评论。
英文摘要：
Many systems exhibit boundary law scaling for entanglement entropy in more than one spatial dimension. Here I describe three systems in 3+1 dimensions that violate the boundary law for entanglement entropy. The first is free Weyl fermions in a magnetic field, the second is a holographic strong coupling generalization of the Weyl fermion system, and the third is a strong topological insulator in the presence of dislocations. These systems are unified by the presence of a low energy description that includes many gapless 1+1 dimensional modes. I conclude with some comments on the search for highly entangled states of quantum matter and some potential experimental signatures.
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