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dc.contributor.authorLevinsen, Jesper
dc.contributor.authorMassignan, Pietro
dc.contributor.authorBruun, Georg M.
dc.contributor.authorParish, Meera M.
dc.contributor.otherUniversitat Politècnica de Catalunya. Institut de Ciències Fotòniques
dc.date.accessioned2015-11-05T16:33:13Z
dc.date.available2015-11-05T16:33:13Z
dc.date.issued2015-07-24
dc.identifier.issn2375-2548
dc.identifier.urihttp://hdl.handle.net/2117/78846
dc.description.abstractA major challenge in modern physics is to accurately describe strongly interacting quantum many-body systems. One-dimensional systems provide fundamental insights because they are often amenable to exact methods. However, no exact solution is known for the experimentally relevant case of external confinement. We propose a powerful ansatz for the one-dimensional Fermi gas in a harmonic potential near the limit of infinite short-range repulsion. For the case of a single impurity in a Fermi sea, we show that our ansatz is indistinguishable from numerically exact results in both the few- and many-body limits. We furthermore derive an effective Heisenberg spin-chain model corresponding to our ansatz, valid for any spin-mixture, within which we obtain the impurity eigenstates analytically. In particular, the classical Pascal’s triangle emerges in the expression for the ground-state wave function. As well as providing an important benchmark for strongly correlated physics, our results are relevant for emerging quantum technologies, where a precise knowledge of one-dimensional quantum states is paramount.
dc.format.extent11 p.
dc.language.isoeng
dc.publisherScience
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Física
dc.subject.lcshQuantum optics
dc.subject.otherFermi gas
dc.titleStrong-coupling ansatz for the one-dimensional Fermi gas in a harmonic potential
dc.typeArticle
dc.subject.lemacÒptica quàntica
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttp://advances.sciencemag.org/content/1/6/e1500197
dc.rights.accessOpen Access
dc.description.versionPostprint (published version)
upcommons.citation.publicationNameScience Advances
upcommons.citation.volume1
upcommons.citation.number6
upcommons.citation.startingPagee1500197


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