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Hydrogenic entanglement

Qvarfort, S; Bose, S; Serafini, A; (2020) Hydrogenic entanglement. New Journal Of Physics , 22 (9) , Article 093062. 10.1088/1367-2630/aba30f. Green open access

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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.

Type: Article
Title: Hydrogenic entanglement
Open access status: An open access version is available from UCL Discovery
DOI: 10.1088/1367-2630/aba30f
Publisher version: https://doi.org/10.1088/1367-2630/aba30f
Language: English
Additional information: Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. https://creativecommons.org/licenses/by/4.0/
Keywords: hydrogen atom, hydrogenic, entanglement, Schmidt diagonalisation, entanglement test, hydrogenic entanglement
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10106085
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