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Strong-coupling ansatz for the one-dimensional Fermi gas in a harmonic potential
dc.contributor.author | Levinsen, Jesper |
dc.contributor.author | Massignan, Pietro |
dc.contributor.author | Bruun, Georg M. |
dc.contributor.author | Parish, Meera M. |
dc.contributor.other | Universitat Politècnica de Catalunya. Institut de Ciències Fotòniques |
dc.date.accessioned | 2015-11-05T16:33:13Z |
dc.date.available | 2015-11-05T16:33:13Z |
dc.date.issued | 2015-07-24 |
dc.identifier.issn | 2375-2548 |
dc.identifier.uri | http://hdl.handle.net/2117/78846 |
dc.description.abstract | A 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.extent | 11 p. |
dc.language.iso | eng |
dc.publisher | Science |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Física |
dc.subject.lcsh | Quantum optics |
dc.subject.other | Fermi gas |
dc.title | Strong-coupling ansatz for the one-dimensional Fermi gas in a harmonic potential |
dc.type | Article |
dc.subject.lemac | Òptica quàntica |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://advances.sciencemag.org/content/1/6/e1500197 |
dc.rights.access | Open Access |
dc.description.version | Postprint (published version) |
local.citation.publicationName | Science Advances |
local.citation.volume | 1 |
local.citation.number | 6 |
local.citation.startingPage | e1500197 |
local.personalitzacitacio | true |
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