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Gravitationally self-bound quantum states in unstable potentials
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics.
2018 (English)In: Physical Review A: covering atomic, molecular, and optical physics and quantum information, ISSN 2469-9926, E-ISSN 2469-9934, Vol. 97, no 4, article id 042116Article in journal (Refereed) Published
Abstract [en]

Quantum mechanics at present cannot be unified with the theory of gravity at the deepest level, and to guide research towards the solution of this fundamental problem, we need to look for ways to observe or refute predictions originating from attempts to combine quantum theory with gravity. The influence of the gravitational field created by the material density given by the wave function itself gives rise to nontrivial phenomena. In this study I consider the wave function for the center-of-mass coordinate of a spherical mass distribution under the influence of the self-interaction of Newtonian gravity. I solve numerically for the ground state in the presence of an unstable potential and find that the energy of the free-space bound state can be lowered despite the nontrapping character of the potential. The center-of-mass ground state becomes increasingly localized for the used unstable potentials, although only in a limited parameter regime. The feebleness of the energy shift makes the observation of these effects demanding and requires further developments in the cooling of material particles. In addition, the influence of gravitational perturbations that are present in typical laboratory settings necessitates the use of extremely quiet and controlled environments such as those provided by recently proposed space-borne experiments.

Place, publisher, year, edition, pages
AMER PHYSICAL SOC , 2018. Vol. 97, no 4, article id 042116
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:mdh:diva-39202DOI: 10.1103/PhysRevA.97.042116ISI: 000430377100005Scopus ID: 2-s2.0-85046540965OAI: oai:DiVA.org:mdh-39202DiVA, id: diva2:1205211
Available from: 2018-05-11 Created: 2018-05-11 Last updated: 2018-05-17Bibliographically approved

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Jääskeläinen, Markku

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