论文标题
rényi的熵和对共形界面和连接处的无质量迪拉克费米斯的消极情绪
Rényi entropy and negativity for massless Dirac fermions at conformal interfaces and junctions
论文作者
论文摘要
我们研究了一个（1+1） - 维二维形式的田间理论，该理论是用$ m $的无质量自由狄拉克费米斯（Free Dirac Fermions）构建的，该物种通过保形连接/界面在一个边界点耦合。每个CFT代表有限长度$ L $的电线。我们制定了一种系统的策略，以计算rényi熵，以在两条不足的电线之间的电线与纠缠负面性之间进行通用两部分。这两种纠缠措施都可以用$ L $与对数增长，并根据连接点的细节和两部分的细节，并具有精确计算的通用预选率。这些分析预测经过数值测试，以找到自由费米气体的连接，找到了完美的一致性。
We investigate the ground state of a (1+1)-dimensional conformal field theory built with $M$ species of massless free Dirac fermions coupled at one boundary point via a conformal junction/interface. Each CFT represents a wire of finite length $L$. We develop a systematic strategy to compute the Rényi entropies for a generic bipartition between the wires and the entanglement negativity between two non-complementary sets of wires. Both these entanglement measures turn out to grow logarithmically with $L$ with an exactly calculated universal prefactor depending on the details of the junction and of the bipartition. These analytic predictions are tested numerically for junctions of free Fermi gases, finding perfect agreement.
