Abstract
Most existing cosmological entanglement studies are focused on the isotropic Robertson–Walker (RW) spacetime. Here we go beyond this limitation and study the influence of anisotropy on entanglement generated by dynamical spacetime. Since the isotropic spacetime is viewed as a background medium and the anisotropy is incorporated as perturbation, we decompose entanglement entropy into isotropic and anisotropic contributions. The latter is shown to be non-negligible by analyzing two cosmological models with weak and conformal coupling. We also show the possibility of using entanglement to infer about universe features.
Highlights
Relativistic quantum information, started out from the seminal paper [1], is a new promising field that aims at understanding how special or general relativity can affect quantum information processing
It has been understood that entanglement [7], a useful resource in quantum information science, is not
Taking into account anisotropic models is necessary because of anisotropy found in the Cosmic Microwave Background radiation [19,20]. Another open question is how emerging entanglement is affected when going beyond the conformal coupling case
Summary
Relativistic quantum information, started out from the seminal paper [1], is a new promising field that aims at understanding how special or general relativity can affect quantum information processing (see [2,3,4,5,6] for reviews on different aspects of the theory). Generation of entanglement between occupation numbers, vacuum and 1/2-particle state, and polarizations (spins) of particles has been investigated [17,18] All such works employed Robertson–Walker (RW) models with the assumption of homogeneity and isotropy, so that it is yet unclear whether entanglement may be sensitive to spacetime anisotropies and to what extent universe’s features are imprinted on it. Taking into account anisotropic models is necessary because of anisotropy found in the Cosmic Microwave Background radiation [19,20] Another open question is how emerging entanglement is affected when going beyond the conformal coupling case. We shall consider in the present paper three physical entities responsible for conformal symmetry breaking, namely mass of particles associated with the field, coupling between field and spacetime curvature, small gravitational disturbance (anisotropy).
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