Rényi Generalization of the Accessible Entanglement Entropy

Hatem Barghathi, C. M. Herdman, and Adrian Del Maestro
Phys. Rev. Lett. 121, 150501 – Published 12 October 2018
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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 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 105 particles.

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  • Received 19 April 2018

DOI:https://doi.org/10.1103/PhysRevLett.121.150501

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyCondensed Matter, Materials & Applied PhysicsStatistical Physics & Thermodynamics

Authors & Affiliations

Hatem Barghathi1, C. M. Herdman2, and Adrian Del Maestro1,3

  • 1Department of Physics, University of Vermont, Burlington, Vermont 05405, USA
  • 2Department of Physics, Middlebury College, Middlebury, Vermont 05753, USA
  • 3Institut für Theoretische Physik, Universität Leipzig, D-04103 Leipzig, Germany

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Issue

Vol. 121, Iss. 15 — 12 October 2018

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