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Hydrogenic entanglement

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Sep 2020Embargo end date: 01 Jan 2020 United Kingdom Publisher:IOP PublishingJournal:New Journal of Physics, volume 22, page 93,062 (eissn: 1367-2630, Copyright policy )
Authors: Sofia Qvarfort; Sougato Bose; Alessio Serafini;

doi: 10.1088/1367-2630/aba30f , 10.48550/arxiv.2002.10383

arXiv: http://arxiv.org/abs/2002.10383

Hydrogenic entanglement

Abstract

Abstract Is there any entanglement in the simplest ubiquitous bound system? We study the solutions to the time-independent Schrödinger equation for a hydrogenic system and devise two entanglement tests for free and localised states. For free hydrogenic systems, we compute the Schmidt basis diagonalisation for general energy eigenstates, and for a hydrogenic system localised to a three-dimensional Gaussian wavepacket, we demonstrate that measuring its second moments is sufficient for detecting entanglement. Our results apply to any system that exhibits hydrogenic structure.

Country
United Kingdom
Related Organizations
Keywords

Quantum Physics, Science, Physics, QC1-999, Q, entanglement test, FOS: Physical sciences, hydrogenic, Schmidt diagonalisation, hydrogen atom, entanglement, Quantum Physics (quant-ph), hydrogenic entanglement

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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
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    impulse
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Top 10%
Average
Average
Green
gold