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)] introduced an operational measure of the von Neumann entanglement entropy. Motivated by advances in measuring 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 to ${10}^5$ particles.

中文翻译：

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可及纠缠熵的R'{e} nyi推广

由于颗粒数量守恒对允许的局部操作的限制，可以减少难以区分的颗粒的二分体系中的可操作性纠缠。为了量化这种影响，Wiseman和Vaccaro [Phys。莱特牧师 {91}，097902（2003）]介绍了冯·诺依曼纠缠熵的可操作度量。受制于遵守守恒定律的量子多体系统中熵的测量方法的进步，我们得出了可操作地纠缠的概括，该纠缠既可以通过计算又可以通过实验来测量。使用Widom定理，我们研究了自由费米子的空间子区域大小的缩放，并找到了对数违背的面积定律缩放，类似于空间纠缠熵，最多，双对数前导校正。对相关矩阵方法的修改证实了我们在高达${10}^5$ 粒子。