Constructing an entangled state in Heisenberg picture for inflationary cosmology
Abstract
The effects of the entanglement of the inflaton field which initially entangled with those of another field on observables like power spectrum are known in the context of the Schr\"{o}dinger field theory. To clarify this effect in Heisenberg picture, there were some attempts to construct the initial entangled state by making use of an entangled transformation (like Bogoliubov transformation) between the Bunch-Davies vacuums and squeezed states. We study the role of the time-dependent entangled transformation in the Schr\"{o}dinger field theory. We derive the relation between two vacuum states which their mode functions are transformed by the entangled transformation in Schr\"{o}dinger picture. We discuss that the time-dependency of the entanglement parameter is inevitable and only in the first order of the entanglement parameter perturbation this time-dependency vanishes. We study the entangled transformation in the Heisenberg picture in term of the entangled parameter which appears in the entangled state in Schr\"{o}dinger picture.
Keywords
Cite
@article{arxiv.1710.09648,
title = {Constructing an entangled state in Heisenberg picture for inflationary cosmology},
author = {Abasalt Rostami and Javad T. Firouzjaee},
journal= {arXiv preprint arXiv:1710.09648},
year = {2018}
}
Comments
11 pages, one section added and some spelling reforms were done