Aharonov-Bohm effect on entanglement entropy in conformal field theory
Aharonov-Bohm effect on entanglement entropy in conformal field theory
复制标题
共形场论中纠缠熵的阿哈罗诺夫-玻姆效应
DOI：
10.1103/physrevd.96.065016
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发表时间：
2017
影响因子：
5
通讯作者：
Noburo Shiba
中科院分区：
文献类型：
--
作者：
Yuichiro Nakai;Noburo Shiba;Masaki Yamada;Noburo Shiba
我们考虑一维环上 () 维共形场论中一个区间的阿哈罗诺夫-玻姆效应对纠缠熵的影响。磁场被限制在环内，即环上有威尔逊环。与威尔逊环成正比的阿哈罗诺夫-玻姆相位因子表示为扭曲算子的插入。我们根据自由带电标量场中扭曲算子的四点函数精确计算 Rényi 熵。
We consider the Aharonov-Bohm effect on entanglement entropy for one interval in () dimensional conformal field theory on a one dimensional ring. The magnetic field is confined inside the ring, i.e., there is a Wilson loop on the ring. The Aharonov-Bohm phase factor which is proportional to the Wilson loop is represented as insertion of twist operators. We compute exactly the Rényi entropy from a four point function of twist operators in a free charged scalar field.