Cargando…
Effects of Newtonian gravitational self-interaction in harmonically trapped quantum systems
The Schrödinger–Newton equation has gained attention in the recent past as a nonlinear modification of the Schrödinger equation due to a gravitational self-interaction. Such a modification is expected from a fundamentally semi-classical theory of gravity and can, therefore, be considered a test case...
Autores principales: | , , , |
---|---|
Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group
2016
|
Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4973281/ https://www.ncbi.nlm.nih.gov/pubmed/27488656 http://dx.doi.org/10.1038/srep30840 |
_version_ | 1782446379662049280 |
---|---|
author | Großardt, André Bateman, James Ulbricht, Hendrik Bassi, Angelo |
author_facet | Großardt, André Bateman, James Ulbricht, Hendrik Bassi, Angelo |
author_sort | Großardt, André |
collection | PubMed |
description | The Schrödinger–Newton equation has gained attention in the recent past as a nonlinear modification of the Schrödinger equation due to a gravitational self-interaction. Such a modification is expected from a fundamentally semi-classical theory of gravity and can, therefore, be considered a test case for the necessity of the quantisation of the gravitational field. Here we provide a thorough study of the effects of the Schrödinger–Newton equation for a micron-sized sphere trapped in a harmonic oscillator potential. We discuss both the effect on the energy eigenstates and the dynamical behaviour of squeezed states, covering the experimentally relevant parameter regimes. |
format | Online Article Text |
id | pubmed-4973281 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2016 |
publisher | Nature Publishing Group |
record_format | MEDLINE/PubMed |
spelling | pubmed-49732812016-08-12 Effects of Newtonian gravitational self-interaction in harmonically trapped quantum systems Großardt, André Bateman, James Ulbricht, Hendrik Bassi, Angelo Sci Rep Article The Schrödinger–Newton equation has gained attention in the recent past as a nonlinear modification of the Schrödinger equation due to a gravitational self-interaction. Such a modification is expected from a fundamentally semi-classical theory of gravity and can, therefore, be considered a test case for the necessity of the quantisation of the gravitational field. Here we provide a thorough study of the effects of the Schrödinger–Newton equation for a micron-sized sphere trapped in a harmonic oscillator potential. We discuss both the effect on the energy eigenstates and the dynamical behaviour of squeezed states, covering the experimentally relevant parameter regimes. Nature Publishing Group 2016-08-04 /pmc/articles/PMC4973281/ /pubmed/27488656 http://dx.doi.org/10.1038/srep30840 Text en Copyright © 2016, The Author(s) http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ |
spellingShingle | Article Großardt, André Bateman, James Ulbricht, Hendrik Bassi, Angelo Effects of Newtonian gravitational self-interaction in harmonically trapped quantum systems |
title | Effects of Newtonian gravitational self-interaction in harmonically trapped quantum systems |
title_full | Effects of Newtonian gravitational self-interaction in harmonically trapped quantum systems |
title_fullStr | Effects of Newtonian gravitational self-interaction in harmonically trapped quantum systems |
title_full_unstemmed | Effects of Newtonian gravitational self-interaction in harmonically trapped quantum systems |
title_short | Effects of Newtonian gravitational self-interaction in harmonically trapped quantum systems |
title_sort | effects of newtonian gravitational self-interaction in harmonically trapped quantum systems |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4973281/ https://www.ncbi.nlm.nih.gov/pubmed/27488656 http://dx.doi.org/10.1038/srep30840 |
work_keys_str_mv | AT großardtandre effectsofnewtoniangravitationalselfinteractioninharmonicallytrappedquantumsystems AT batemanjames effectsofnewtoniangravitationalselfinteractioninharmonicallytrappedquantumsystems AT ulbrichthendrik effectsofnewtoniangravitationalselfinteractioninharmonicallytrappedquantumsystems AT bassiangelo effectsofnewtoniangravitationalselfinteractioninharmonicallytrappedquantumsystems |