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dc.contributor.authorGarcia March, Miguel Angel
dc.contributor.authorJulia Diaz, Bruno
dc.contributor.authorAstrakharchik, Grigori
dc.contributor.authorBoronat Medico, Jordi
dc.contributor.authorPolls, A.
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Física i Enginyeria Nuclear
dc.date.accessioned2015-01-19T14:47:48Z
dc.date.available2015-01-19T14:47:48Z
dc.date.created2014-12-01
dc.date.issued2014-12-01
dc.identifier.citationGarcia, M. [et al.]. Distinguishability, degeneracy, and correlations in three harmonically trapped bosons in one dimension. "Physical review A", 01 Desembre 2014, vol. 90, núm. 6, p. 1-13.
dc.identifier.issn1050-2947
dc.identifier.urihttp://hdl.handle.net/2117/25917
dc.description.abstractWe study a system of two bosons of one species and a third atom of a second species in a one-dimensional parabolic trap at zero temperature. We assume contact repulsive inter- and intraspecies interactions. By means of an exact diagonalization method we calculate the ground and excited states for the whole range of interactions. We use discrete group theory to classify the eigenstates according to the symmetry of the interaction potential. We also propose and validate analytical Ansatze gaining physical insight over the numerically obtained wave functions. We show that, for both approaches, it is crucial to take into account that the distinguishability of the third atom implies the absence of any restriction over the wave function when interchanging this boson with any of the other two. We find that there are degeneracies in the spectra in some limiting regimes, that is, when the interspecies and/or the intraspecies interactions tend to infinity. This is in contrast with the three-identical boson system, where no degeneracy occurs in these limits. We show that, when tuning both types of interactions through a protocol that keeps them equal while they are increased towards infinity, the systems's ground state resembles that of three indistinguishable bosons. Contrarily, the systems's ground state is different from that of three-identical bosons when both types of interactions are increased towards infinity through protocols that do not restrict them to be equal. We study the coherence and correlations of the system as the interactions are tuned through different protocols, which permit us to build up different correlations in the system and lead to different spatial distributions of the three atoms.
dc.format.extent13 p.
dc.language.isoeng
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.lcshBosons
dc.subject.lcshGas
dc.subject.lcshAtoms
dc.subject.lcshFermions
dc.subject.otherTonks-Girardeau gas
dc.subject.otherImpenetrable bosons
dc.subject.otherAtoms
dc.subject.otherFermions
dc.subject.otherSystems
dc.titleDistinguishability, degeneracy, and correlations in three harmonically trapped bosons in one dimension
dc.typeArticle
dc.subject.lemacBosons
dc.subject.lemacGas
dc.subject.lemacÀtoms
dc.subject.lemacFermions
dc.contributor.groupUniversitat Politècnica de Catalunya. SIMCON - First-principles approaches to condensed matter physics: quantum effects and complexity
dc.identifier.doi10.1103/PhysRevA.90.063605
dc.relation.publisherversionhttp://journals.aps.org/pra/abstract/10.1103/PhysRevA.90.063605
dc.rights.accessOpen Access
local.identifier.drac15389144
dc.description.versionPostprint (published version)
local.citation.authorGarcia, M.; Julia, B.; Astrakharchik, G.; Boronat, J.; Polls, A.
local.citation.publicationNamePhysical review A
local.citation.volume90
local.citation.number6
local.citation.startingPage1
local.citation.endingPage13


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