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Trapped Ion Quantum Computing

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

arXiv
Authors: André Großardt, James Bateman, Hendrik Ulbricht, Angelo Bassi

Year

2015

Paper ID

26873

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2015 reference point for readers tracking recent quantum research.
  • 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.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1510.01262 [2] arXiv https://arxiv.org/abs/1510.01262 [3] Publisher https://arxiv.org/abs/1510.01262

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