Equation of state for Entanglement in a Fermi gas

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.

arXiv commentTo appear in Phys. Rev. A., 4 pages, 1 figure

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• Entanglement of Fermi gases in a harmonic trap
• Removing the divergence of Chandrasekhar limit caused by generalized uncertainty principle