Space-time correlations within pairs produced during inflation, a wave-packet analysis

Details Space-time correlations within pairs produced during inflation, a wave-packet analysis Space-time correlations within pairs produced during inflation, a wave-packet analysis

2003-01-13

arxiv.org/abs/gr-qc/0301044v2

Phys.Rev. D67 (2003) 103522

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

discussion clarified, acknowledgements and references added, version accepted in PRD

Scientific paper

10.1103/PhysRevD.67.103522

In homogeneous universes the propagation of quantum fields gives rise to pair creation of quanta with opposite momenta. When computing expectation values of operators, the correlations between these quanta are averaged out and no space-time structure is obtained. In this article, by an appropriate use of wave packets, we reveal the space-time structure of these correlations. We show that every pair emerges from vacuum configurations which are torn apart so as to give rise to two semi-classical currents: that carried by the particle and that of its `partner'. The partner's current lives behind the Hubble horizon centered around the particle. Hence any measurement performed within a Hubble patch would correspond to an uncorrelated density matrix, as for Hawking radiation. However, when inflation stops, the Hubble radius grows and eventually encompasses the partner. When this is realized the coherence is recovered within a patch. Our analysis applies to rare pair creation events as well as to cases leading to arbitrary high occupation numbers. Hence it might be applied to primordial gravitational waves which evolve into highly squeezed states.

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