On Rényi entropies of disjoint intervals in conformal field theory
On Rényi entropies of disjoint intervals in conformal field theory
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DOI：
10.1088/1742-5468/2014/01/p01008
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发表时间：
2013-09
期刊：
影响因子：
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通讯作者：
Andrea Coser;L. Tagliacozzo;E. Tonni
中科院分区：
文献类型：
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作者：
Andrea Coser;L. Tagliacozzo;E. Tonni
本文研究了描述自由紧化玻色子和伊辛模型的共形场论中N个不相交区间的Rényi熵。它们被计算为扭曲场的2N点函数，通过采用特定类别的黎曼曲面上的模型的配分函数。结果写在黎曼θ函数。对谐波链的精确结果进行了检查的预测，在解压缩制度的自由玻色子。对于伊辛模型，在考虑了有限尺寸修正后，矩阵乘积态的计算结果与共形场论的结果一致。
We study the Rényi entropies of N disjoint intervals in the conformal field theories describing the free compactified boson and the Ising model. They are computed as the 2N-point function of twist fields, by employing the partition function of the model on a particular class of Riemann surfaces. The results are written in terms of Riemann theta functions. The prediction for the free boson in the decompactification regime is checked against exact results for the harmonic chain. For the Ising model, matrix product state computations agree with the conformal field theory result once the finite size corrections have been taken into account.