Long-range entanglement in the Dirac vacuum

Details Long-range entanglement in the Dirac vacuum Long-range entanglement in the Dirac vacuum

2006-09-27

arxiv.org/abs/quant-ph/0609212v1

Phys. Rev. A 75, 052307 (2007)

Physics

Quantum Physics

11 pages, 1 figure

Scientific paper

10.1103/PhysRevA.75.052307

Recently, there have been a number of works investigating the entanglement properties of distinct noncomplementary parts of discrete and continuous Bosonic systems in ground and thermal states. The Fermionic case, however, has yet to be expressly addressed. In this paper we investigate the entanglement between a pair of far-apart regions of the 3+1 dimensional massless Dirac vacuum via a previously introduced distillation protocol [B. Reznik et al., Phys. Rev. A 71, 042104 (2005)]. We show that entanglement persists over arbitrary distances, and that as a function of L/R, where L is the distance between the regions and R is their typical scale, it decays no faster than exp(-(L/R)^2). We discuss the similarities and differences with analogous results obtained for the massless Klein-Gordon vacuum.

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