相互作用共振能级模型中纠缠熵的量子红展开
Infra-red expansion of entanglement entropy in the Interacting Resonant Level Model
摘要：
本文发展了一种方法来微扰地描述低能（即强耦合区）简单杂质模型--相互作用共振能级模型（IRLM）中的纠缠熵。我们使用可积性结果或近藤模型来描述红外固定点，共形场论技术最初开发的Cardy和Calabrese和量子化方案，允许一个精确计算Renyi熵在任意顺序在$1/T_B$的原则，即使当系统的大小或温度是有限的。我们表明，在强耦合制度中的任意相互作用参数的这些普遍的量是非常好的近似的相同的量在自由费米子系统的情况下的吸引库仑相互作用，而强烈的相互作用的依赖性出现在排斥相互作用的情况下。
英文摘要：
In this paper we develop a method to describe perturbatively the entanglement entropy in a simple impurity model, the interacting resonant level model (IRLM), at low energy (i.e. in the strong coupling regime). We use integrability results or the Kondo model to describe the infra-red fixed point, conformal field theory techniques initially developped by Cardy and Calabrese and a quantization scheme that allows one to compute exactly Renyi entropies at arbitrary order in $1/T_B$ in principle, even when the system size or the temperature is finite. We show that those universal quantities at arbitrary interaction parameter in the strong coupling regime are very well approximated by the same quantities in the free fermion system in the case of attractive Coulomb interaction, whereas a strong dependence on the interaction appears in the case of repulsive interaction.
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