Effects of Newtonian gravitational self-interaction in
harmonically trapped quantum systems
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 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.
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Grossardt, Andre
b64b259c-ea5e-41bd-a20f-7df2a710b247
Bateman, James
05b8f150-3d00-49f6-bf35-3d535b773b53
Ulbricht, Hendrik
5060dd43-2dc1-47f8-9339-c1a26719527d
Bassi, Angelo
374a70f7-61f8-4656-bb45-5857695750f1
Grossardt, Andre
b64b259c-ea5e-41bd-a20f-7df2a710b247
Bateman, James
05b8f150-3d00-49f6-bf35-3d535b773b53
Ulbricht, Hendrik
5060dd43-2dc1-47f8-9339-c1a26719527d
Bassi, Angelo
374a70f7-61f8-4656-bb45-5857695750f1
Grossardt, Andre, Bateman, James, Ulbricht, Hendrik and Bassi, Angelo
(2016)
Effects of Newtonian gravitational self-interaction in
harmonically trapped quantum systems.
Scientific Reports, 6 (30840), .
(doi:10.1038/srep30840).
Abstract
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.
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srep30840.pdf
- Version of Record
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Accepted/In Press date: 7 July 2016
e-pub ahead of print date: 4 August 2016
Organisations:
Quantum, Light & Matter Group
Identifiers
Local EPrints ID: 402020
URI: http://eprints.soton.ac.uk/id/eprint/402020
PURE UUID: 5bbde764-2c9f-4e83-b4cc-479c110a6815
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Date deposited: 26 Oct 2016 14:04
Last modified: 21 Aug 2025 02:02
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Contributors
Author:
Andre Grossardt
Author:
James Bateman
Author:
Angelo Bassi
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