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arXiv 2205.04722hep-thcond-mat.stat-mech
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无质量Dirac费米子在共形界面和结处的Rényi熵和负性

Rényi entropy and negativity for massless Dirac fermions at conformal interfaces and junctions

Luca Capizzi, Sara Murciano, Pasquale Calabrese

摘要:

本文研究了由$M$类无质量自由狄拉克费米子通过共形结/界面耦合在一个边界点所建立的(1+1)维共形场论的基态.每个CFT表示有限长度的导线$L$。我们开发了一个系统的策略来计算的Rényi熵的一般bipartition之间的电线和纠缠负之间的两个非互补的电线集。这两个纠缠措施原来增长与$L$具有精确计算的通用前因子取决于结的细节和bipartition。这些分析预测进行了测试,数值结的自由费米气体,找到完美的协议。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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