精确可解模型中的纠缠和规则
Entanglement sum rules in exactly solvable models
摘要：
我们计算了广泛一类精确可解模型的纠缠熵，这些模型可以被描述为描述与规范场耦合的物质。我们的主要结果是一个纠缠求和规则，该规则指出，整个系统的熵是两个组件的熵之和。在我们考虑的精确可解模型的上下文中，这个结果适用于完全熵，但更一般地说，它是关于熵中泛项的可加性的陈述。我们还证明了Renyi熵是完全可加的，因此纠缠谱分解。我们的证明同时扩展和简化了以前的参数，扩展包括在零温度下的新模型以及处理有限温度交叉的能力。我们强调，虽然可加性是一个精确的陈述，但和中的每一项可能仍然难以计算。我们的结果适用于各种各样的阶段，包括费米液体，自旋液体，和一些非费米液体金属。
英文摘要：
We compute the entanglement entropy of a wide class of exactly solvable models which may be characterized as describing matter coupled to gauge fields. Our principle result is an entanglement sum rule which states that entropy of the full system is the sum of the entropies of the two components. In the context of the exactly solvable models we consider, this result applies to the full entropy, but more generally it is a statement about the additivity of universal terms in the entropy. We also prove that the Renyi entropy is exactly additive and hence that the entanglement spectrum factorizes. Our proof simultaneously extends and simplifies previous arguments, with extensions including new models at zero temperature as well as the ability to treat finite temperature crossovers. We emphasize that while the additivity is an exact statement, each term in the sum may still be difficult to compute. Our results apply to a wide variety of phases including Fermi liquids, spin liquids, and some non-Fermi liquid metals.
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