Highly entangled quantum systems in 3+1 dimensions
Highly entangled quantum systems in 3+1 dimensions
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3 1 维高度纠缠量子系统
DOI：
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发表时间：
2010
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通讯作者：
Brian Swingle
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作者：
Brian Swingle
许多系统在多个空间维度上表现出纠缠熵的边界定律标度。在这里，我描述了三个违反纠缠熵边界定律的 3+1 维系统。第一个是磁场中的自由韦尔费米子，第二个是韦尔费米子系统的全息强耦合推广，第三个是存在位错的强拓扑绝缘体。这些系统通过包含许多无间隙 1+1 维模式的低能量描述来统一。最后，我对寻找量子物质的高度纠缠态和一些潜在的实验特征进行了一些评论。
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.