Entanglement entropy of two disjoint intervals from fusion algebra of twist fields
Entanglement entropy of two disjoint intervals from fusion algebra of twist fields
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DOI：
10.1088/1742-5468/2012/02/p02016
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发表时间：
2011-12
期刊：
影响因子：
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通讯作者：
M. Rajabpour;F. Gliozzi
中科院分区：
文献类型：
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作者：
M. Rajabpour;F. Gliozzi
在共形场论的极小模型中，我们研究了两个不相交区间的纠缠和Rényi熵。我们利用扭场的保角块展开和融合规则来定义约化密度矩阵的n次方的迹在椭圆参数中的系统展开。在只保留前几项的情况下，我们得到了一个易于解析继续的近似表达式，从而得到了纠缠熵的近似公式。这些预测与一些已知的准确结果以及现有的数字数据进行了核对。
We study the entanglement and Rényi entropies of two disjoint intervals in minimal models of conformal field theory. We use the conformal block expansion and fusion rules of twist fields to define a systematic expansion in the elliptic parameter of the trace of the nth power of the reduced density matrix. Keeping only the first few terms we obtain an approximate expression that is easily analytically continued to , leading to an approximate formula for the entanglement entropy. These predictions are checked against some known exact results as well as against existing numerical data.