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Effects of Newtonian gravitational self-interaction in harmonically trapped quantum systems.

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.

SUBMITTER: Großardt A

PROVIDER: S-EPMC4973281 | biostudies-literature | 2016 Aug

REPOSITORIES: biostudies-literature

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Effects of Newtonian gravitational self-interaction in harmonically trapped quantum systems.

Großardt André A Bateman James J Ulbricht Hendrik H Bassi Angelo A

Scientific reports 20160804

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 os ...[more]

PMID: 27488656

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