Equation of state for entanglement in a Fermi gas

Christian Lunkes, Časlav Brukner, and Vlatko Vedral
Phys. Rev. A 71, 034309 – Published 24 March 2005

Abstract

Entanglement distance is the maximal separation between two entangled electrons in a degenerate electron gas. Beyond that distance, all entanglement disappears. We relate entanglement distance to degeneracy pressure both for extreme relativistic and nonrelativistic systems, and estimate the entanglement distance in a white dwarf. Treating entanglement as a thermodynamical quantity, we relate the entropy of formation and concurrence to relative electron distance, pressure, and temperature, to form an equation of state for entanglement.

  • Figure
  • Received 21 October 2004

DOI:https://doi.org/10.1103/PhysRevA.71.034309

©2005 American Physical Society

Authors & Affiliations

Christian Lunkes1,*, Časlav Brukner1,2,†, and Vlatko Vedral3,4,‡

  • 1QOLS, Blackett Laboratory, Imperial College London, London SW7 2BZ, England
  • 2Institut für Experimentalphysik, Universität Wien, Boltzmanngasse 5, A-1090 Vienna, Austria
  • 3The Schrödinger Institute for Mathematical Physics, Boltzmanngasse 9, Vienna, Austria
  • 4The School of Physics and Astronomy, University of Leeds, Leeds LS2 9JT, England

  • *Electronic address: christian.lunkes@ic.ac.uk
  • Electronic address: c.brukner@ic.ac.uk
  • Electronic address: v.vedral@ic.ac.uk

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Issue

Vol. 71, Iss. 3 — March 2005

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