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Equation of state for Entanglement in a Fermi gas

Christian Lunkes·Caslav Brukner·Vlatko Vedral
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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 non-relativistic 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 a new equation of state for entanglement.

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Christian Lunkes, Caslav Brukner, Vlatko Vedral. 2005-01-09. Equation of state for Entanglement in a Fermi gas. https://doi.org/10.1103/physreva.71.034309

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