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Phys. Rev. A 71, 034309 (2005) [4 pages]

Equation of state for entanglement in a Fermi gas

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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

Received 21 October 2004; revised 29 November 2004; published 24 March 2005

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.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.71.034309
DOI:
10.1103/PhysRevA.71.034309
PACS:
03.67.Mn, 03.65.Ud

*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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