KEK素粒子原子核研究所・理論セミナー

分類理論セミナー
開始2015/06/09(火)11:00
終了2015/06/09(火)12:00
会場研究本館1階会議室1
講演タイトルOn the definition of entanglement entropy in lattice gauge theories
講演者青木愼也氏 (京都大学基礎物理学研究所)
言語英語/English
連絡先山本 恵、yamakei-AT-post.kek.jp
ウェブサイト
食堂・売店利用予定なし/0

概要

We focus on the issue of proper definition of entanglement entropy in lattice gauge theories, and examine a naive definition where gauge invariant states are viewed as elements of an extended Hilbert space which contains gauge non-invariant states as well. Working in the extended Hilbert space, we can define entanglement entropy associated with an arbitrary subset of links, not only for abelian but also for non-abelian theories. We then derive the associated replica formula. We also discuss the issue of gauge invariance of the entanglement entropy.In the $Z_N$ gauge theories in arbitrary space dimensions, we show that all the standard properties of the entanglement entropy, e.g. the strong subadditivity, hold in our definition. We study the entanglement entropy for special states, including the topological states for the $Z_N$ gauge theories in arbitrary dimensions. We discuss relations of our definition to other proposals

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