1301.3011 (Julian Adamek et al.)

Dissipative fields in de Sitter and black hole spacetimes: quantum
entanglement due to pair production and dissipation    [PDF]

Julian Adamek, Xavier Busch, Renaud Parentani

For free fields, pair creation in expanding universes is associated with the building up of correlations that lead to non-separable states, i.e., quantum mechanically entangled ones. For dissipative fields, i.e., fields coupled to an environment, there is a competition between the squeezing of the state and the coupling to the external bath. We compute the final coherence level for dissipative fields which propagate in de Sitter space, and we characterize the domain in parameter space where the state remains non-separable. We then apply our analysis to (analogue) Hawking radiation by exploiting the close relationship between Lorentz violating theories propagating in de Sitter and black hole metrics. We establish the robustness of the spectrum and find that the entanglement among Hawking pairs is generally much stronger than that among pairs of quanta with opposite momenta.

View original: http://arxiv.org/abs/1301.3011