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Strongly interacting confined quantum systems in one dimension

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dc.contributor.authorVolosniev, Artem G.
dc.contributor.authorFedorov, Dmitri V.
dc.contributor.authorJensen, Aksel S.
dc.contributor.authorValiente Cifuentes, Manuel
dc.contributor.authorZinner, Nikolaj Thomas
dc.contributor.departmentFĂ­sica
dc.date.accessioned2025-01-28T09:24:18Z
dc.date.available2025-01-28T09:24:18Z
dc.date.issued2014-11-04
dc.description© 2014 Macmillan Publishers Limited. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ This document is the Published Manuscript, version of a Published Work that appeared in final form in Nature Communications. To access the final edited and published work see https://doi.org/10.1038/ncomms6300
dc.description.abstractIn one dimension, the study of magnetism dates back to the dawn of quantum mechanics when Bethe solved the famous Heisenberg model that describes quantum behaviour in magnetic systems. In the last decade, one-dimensional (1D) systems have become a forefront area of research driven by the realization of the Tonks–Girardeau gas using cold atomic gases. Here we prove that 1D fermionic and bosonic systems with strong short-range interactions are solvable in arbitrary confining geometries by introducing a new energy-functional technique and obtaining the full spectrum of energies and eigenstates. As a first application, we calculate spatial correlations and show how both ferro- and antiferromagnetic states are present already for small system sizes that are prepared and studied in current experiments. Our work demonstrates the enormous potential for quantum manipulation of magnetic correlations at the microscopic scale.
dc.formatapplication/pdfes
dc.identifier.citationNature Communications, Vol. 5, 5300 (2014)
dc.identifier.doihttps://doi.org/10.1038/ncomms6300
dc.identifier.issnElectronic: 2041-1723
dc.identifier.urihttp://hdl.handle.net/10201/149433
dc.languageenges
dc.publisherNature Research
dc.relationDanish Council for Independent Research DFF Natural Sciences, the DFF Sapere Aude program and EPSRC grant No. EP/J001392/1.es
dc.relation.publisherversionhttps://www.nature.com/articles/ncomms6300
dc.rightsinfo:eu-repo/semantics/openAccesses
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectMagnetic properties and materials
dc.subjectTheoretical physics
dc.subject.otherCDU::5 - Ciencias puras y naturaleses
dc.titleStrongly interacting confined quantum systems in one dimensiones
dc.typeinfo:eu-repo/semantics/articlees
dspace.entity.typePublicationes
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