量子纠缠
相互信息
闵可夫斯基空间
物理
标量场
熵(时间箭头)
数学物理
量子力学
反向
标量(数学)
数学
量子
几何学
统计
作者
Dimitrios Katsinis,Georgios Pastras
标识
DOI:10.1007/jhep02(2020)091
摘要
We study the entanglement entropy and the mutual information in coupled harmonic systems at finite temperature. Interestingly, we find that the mutual information does not vanish at infinite temperature, but it rather reaches a specific finite value, which can be attributed to classical correlations solely. We further obtain high and low temperature expansions for both quantities. Then, we extend the analysis performed in the seminal paper by Srednicki (Phys. Rev. Lett. 71, 666 (1993)) for free real scalar field theories in Minkowski space-time in 3+1 dimensions at a thermal state. We find that the mutual information obeys an area law, similar to that obeyed by the entanglement entropy at vanishing temperature. The coefficient of this area law does not vanish at infinite temperature. Then, we calculate this coefficient perturbatively in an $1/\mu$ expansion, where $\mu$ is the mass of the scalar field. Finally, we study the high and low temperature behaviour of the area law term.
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