Projective measurements and generation of entangled Dirac particles in Schwarzschild Spacetime

Details Projective measurements and generation of entangled Dirac particles in Schwarzschild Spacetime Projective measurements and generation of entangled Dirac particles in Schwarzschild Spacetime

2009-05-21

arxiv.org/abs/0905.3430v2

Annals Phys.325:1190-1197,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 1 figure; Accepted by Annals of physics

Scientific paper

It is shown that the projective measurements made by Bob who locates near the event horizon of the Schwarzschild black hole will create entangled particles detected by Alice who stays stationary at the asymptotically flat region. It is found that the degree of entanglement decreases as the frequency of the detected particles increases and approaches to zero as the frequency $\omega_\mathbf{k} \to\infty$. It is also noted that the degree of entanglement increases as the Hawking temperature increases. Especially, the particle state is unentangled when the Hawking temperature is zero and approaches a maximally entangled Bell state when the black hole evaporates completely.

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