Entanglement entropy of annulus in three dimensions

DOI DOI PDF Web Site 被引用文献4件 参考文献42件 オープンアクセス

書誌事項

公開日
2015-04
資源種別
journal article
DOI
  • 10.1007/jhep04(2015)072
  • 10.48550/arxiv.1501.01293
公開者
Springer Science and Business Media LLC

説明

The entanglement entropy of an annulus is examined in a three-dimensional system with or without a gap. For a free massive scalar field theory, we numerically calculate the mutual information across an annulus. We also study the holographic mutual information in the CGLP background describing a gapped field theory. We discover four types of solutions as the minimal surfaces for the annulus and classify the phase diagrams by varying the inner and outer radii. In both cases, we find the mutual information satisfies the monotonicity dictated by the unitarity and decays exponentially fast as the gap scale is increased. We speculate this is a universal behavior in any gapped system.

29 pages, 13 figures, v2: references added, minor changes

収録刊行物

被引用文献 (4)*注記

もっと見る

参考文献 (42)*注記

もっと見る

関連プロジェクト

もっと見る

キーワード

詳細情報 詳細情報について

問題の指摘

ページトップへ