Rényi Generalization of the Accessible Entanglement Entropy
Rényi Generalization of the Accessible Entanglement Entropy
复制标题
可及纠缠熵的 Rényi 推广
DOI：
10.1103/physrevlett.121.150501
复制
发表时间：
2018
影响因子：
8.6
通讯作者：
Del Maestro, Adrian
中科院分区：
文献类型：
--
作者：
Barghathi, Hatem;Herdman, C. M.;Del Maestro, Adrian
由于粒子数守恒对允许的局域操作的限制，在不可区分粒子的二分系统中可操作的纠缠可能会减少。为了量化这种效果，Wiseman和Vaccaro [Phys. Rev. Lett. 91，097902（2003）PRLTA 00031 -900710.1103/PhysRevLett.91.097902]引入了冯诺依曼纠缠熵的操作度量。在量子多体系统的守恒定律的推动下，在测量雷尼熵的进展，我们得到了一个概括的操作可访问的纠缠，这是计算和实验测量。使用Widom定理，我们调查了它的标度与自由费米子的空间子区域的大小，并找到一个违反面积律标度，类似于空间纠缠熵，最多双对数的领先阶校正。修正的相关矩阵方法证实了我们在粒子系统中的发现.
Operationally accessible entanglement in bipartite systems of indistinguishable particles could be reduced due to restrictions on the allowed local operations as a result of particle number conservation. In order to quantify this effect, Wiseman and Vaccaro [Phys. Rev. Lett. 91, 097902 (2003)PRLTAO0031-900710.1103/PhysRevLett.91.097902] introduced an operational measure of the von Neumann entanglement entropy. Motivated by advances in measuring Rényi entropies in quantum many-body systems subject to conservation laws, we derive a generalization of the operationally accessible entanglement that is both computationally and experimentally measurable. Using the Widom theorem, we investigate its scaling with the size of a spatial subregion for free fermions and find a logarithmically violated area law scaling, similar to the spatial entanglement entropy, with at most a double-log leading-order correction. A modification of the correlation matrix method confirms our findings in systems of up toparticles.