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  Cosmological evolution as squeezing: a toy model for group field cosmology

Adjei, E., Gielen, S., & Wieland, W. (2018). Cosmological evolution as squeezing: a toy model for group field cosmology. Classical and quantum gravity, 35(10): 105016. doi:10.1088/1361-6382/aaba11.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002E-9ADD-E Version Permalink: http://hdl.handle.net/21.11116/0000-0002-E7BA-8
Genre: Journal Article

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 Creators:
Adjei, Eugene, Author
Gielen, Steffen1, Author              
Wieland, Wolfgang, Author
Affiliations:
1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67201              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
 Abstract: We present a simple model of quantum cosmology based on the group field theory (GFT) approach to quantum gravity. The model is formulated on a subspace of the GFT Fock space for the quanta of geometry, with a fixed volume per quantum. In this Hilbert space, cosmological expansion corresponds to the generation of new quanta. Our main insight is that the evolution of a flat FLRW universe with a massless scalar field can be described on this Hilbert space as squeezing, familiar from quantum optics. As in GFT cosmology, we find that the three-volume satisfies an effective Friedmann equation similar to the one of loop quantum cosmology, connecting the classical contracting and expanding solutions by a quantum bounce. The only free parameter in the model is identified with Newton's constant. We also comment on the possible topological interpretation of our squeezed states. This paper can serve an introduction into the main ideas of GFT cosmology without requiring the full GFT formalism; our results can also motivate new developments in GFT and its cosmological application.

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 Dates: 2017-12-192018
 Publication Status: Published in print
 Pages: 20
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1712.07266
URI: http://arxiv.org/abs/1712.07266
DOI: 10.1088/1361-6382/aaba11
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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 35 (10) Sequence Number: 105016 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: /journals/resource/954925513480_1