Population bound effects on bosonic correlations in non-inertial frames

Details Population bound effects on bosonic correlations in non-inertial frames Population bound effects on bosonic correlations in non-inertial frames

2010-03-18

arxiv.org/abs/1003.3550v2

Phys. Rev. A 81, 052305 (2010)

Physics

Quantum Physics

revtex 4, 12 pages, 10 figures. Added Journal ref.

Scientific paper

10.1103/PhysRevA.81.052305

We analyse the effect of bounding the occupation number of bosonic field modes on the correlations among all the different spatial-temporal regions in a setting in which we have a space-time with a horizon along with an inertial observer. We show that the entanglement between A (inertial observer) and R (uniformly accelerated observer) depends on the bound N, contrary to the fermionic case. Whether or not decoherence increases with N depends on the value of the acceleration a. Concerning the bipartition A-antiR (Alice with an observer in Rindler's region IV), we show that no entanglement is created whatever the value of N and a. Furthermore, AR entanglement is very quickly lost for finite N and for infinite N. We will study in detail the mutual information conservation law found for bosons and fermions. By means of the boundary effects associated to N finiteness, we will show that for bosons this law stems from classical correlations while for fermions it has a quantum origin. Finally, we will present the strong N dependence of the entanglement in R-antiR bipartition and compare the fermionic cases with their finite N bosonic analogs. We will also show the anti-intuitive dependence of this entanglement on statistics since more entanglement is created for bosons than for their fermion counterparts.

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