Rényi generalization of the operational entanglement entropy

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)] intro...

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Bibliographic Details
Published inarXiv.org
Main Authors Barghathi, Hatem, Herdman, C M, Adrian Del Maestro
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 13.08.2018
Subjects
Accessibility
Conservation laws
Correlation analysis
Entanglement
Entropy
Fermions
Scaling
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1804.01114