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Unravelling cosmological perturbations

Timothy Hollowood Orcid Logo

Physics Letters B, Volume: 785, Pages: 254 - 261

Swansea University Author: Timothy Hollowood Orcid Logo

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DOI (Published version): 10.1016/j.physletb.2018.08.073

Abstract

We explain in detail the quantum-to-classical transition for the cosmological perturbations using only the standard rules of quantum mechanics: the Schrodinger equation and Born's rule applied to a subsystem.We show that the conditioned, i.e. intrinsic, pure state of the perturbations, is drive...

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Published in: Physics Letters B
ISSN: 03702693
Published: 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa43856
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first_indexed 2018-09-14T12:59:27Z
last_indexed 2018-11-12T20:20:01Z
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spelling 2018-11-12T15:14:56.5622688 v2 43856 2018-09-14 Unravelling cosmological perturbations ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2018-09-14 SPH We explain in detail the quantum-to-classical transition for the cosmological perturbations using only the standard rules of quantum mechanics: the Schrodinger equation and Born's rule applied to a subsystem.We show that the conditioned, i.e. intrinsic, pure state of the perturbations, is driven by the interactions with a generic environment, to become increasingly localized in field space as a mode exists the horizon during inflation. With a favourable coupling to the environment, the conditioned state of the perturbations becomes highly localized in field space due to the expansion of spacetime by a factor of roughly exp(-c N), where N ~ 50 and c is a model dependent number of order 1. Effectively the state rapidly becomes specified completely by a point in phase space and an effective, classical, stochastic process emerges described by a classical Langevin equation. The statistics of the stochastic process is described by the solution of the master equation that describes the perturbations coupled to the environment. Journal Article Physics Letters B 785 254 261 03702693 10 10 2018 2018-10-10 10.1016/j.physletb.2018.08.073 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2018-11-12T15:14:56.5622688 2018-09-14T12:28:44.3075577 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Timothy Hollowood 0000-0002-3258-320X 1 0043856-19092018113457.pdf 43856.pdf 2018-09-19T11:34:57.3070000 Output 602186 application/pdf Version of Record true 2018-09-19T00:00:00.0000000 Open Access funded by SCOAP³ - Sponsoring Consortium for Open Access Publishing in Particle Physics. Under a Creative Commons license. true eng
title Unravelling cosmological perturbations
spellingShingle Unravelling cosmological perturbations
Timothy Hollowood
title_short Unravelling cosmological perturbations
title_full Unravelling cosmological perturbations
title_fullStr Unravelling cosmological perturbations
title_full_unstemmed Unravelling cosmological perturbations
title_sort Unravelling cosmological perturbations
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 Timothy Hollowood
format Journal article
container_title Physics Letters B
container_volume 785
container_start_page 254
publishDate 2018
institution Swansea University
issn 03702693
doi_str_mv 10.1016/j.physletb.2018.08.073
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
active_str 0
description We explain in detail the quantum-to-classical transition for the cosmological perturbations using only the standard rules of quantum mechanics: the Schrodinger equation and Born's rule applied to a subsystem.We show that the conditioned, i.e. intrinsic, pure state of the perturbations, is driven by the interactions with a generic environment, to become increasingly localized in field space as a mode exists the horizon during inflation. With a favourable coupling to the environment, the conditioned state of the perturbations becomes highly localized in field space due to the expansion of spacetime by a factor of roughly exp(-c N), where N ~ 50 and c is a model dependent number of order 1. Effectively the state rapidly becomes specified completely by a point in phase space and an effective, classical, stochastic process emerges described by a classical Langevin equation. The statistics of the stochastic process is described by the solution of the master equation that describes the perturbations coupled to the environment.
published_date 2018-10-10T03:55:14Z
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score 11.013731

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