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arXiv · 1804.01114

Rényi generalization of the operational entanglement entropy

Hatem Barghathi·C. M. Herdman·Adrian Del Maestro
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Abstract

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 Rényi entropies in quantum many-body systems subject to conservation laws, we derive a generalization of the operational entanglement that is both computationally and experimentally accessible. 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.

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Hatem Barghathi, C. M. Herdman, Adrian Del Maestro. 2018-08-13. Rényi generalization of the operational entanglement entropy. https://doi.org/10.1103/physrevlett.121.150501

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