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A geometric wave function for a few interacting bosons in a harmonic trap

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Wilson, Brendan; Foerster, Angela; Noschang Kuhn, Carlos; Roditi, I; Rubeni, D

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We establish a new geometric wave function that combined with a variational principle efficiently describes a system of bosons interacting in a one-dimensional trap. By means of a combination of the exact wave function solution for contact interactions and the asymptotic behavior of the harmonic potential solution we obtain the ground state energy, probability density and profiles of a few boson system in a harmonic trap. We are able to access all regimes, ranging from the strongly attractive...[Show more]

dc.contributor.authorWilson, Brendan
dc.contributor.authorFoerster, Angela
dc.contributor.authorNoschang Kuhn, Carlos
dc.contributor.authorRoditi, I
dc.contributor.authorRubeni, D
dc.date.accessioned2015-12-08T22:27:06Z
dc.identifier.issn0375-9601
dc.identifier.urihttp://hdl.handle.net/1885/33931
dc.description.abstractWe establish a new geometric wave function that combined with a variational principle efficiently describes a system of bosons interacting in a one-dimensional trap. By means of a combination of the exact wave function solution for contact interactions and the asymptotic behavior of the harmonic potential solution we obtain the ground state energy, probability density and profiles of a few boson system in a harmonic trap. We are able to access all regimes, ranging from the strongly attractive to the strongly repulsive one with an original and simple formulation.
dc.publisherElsevier
dc.sourcePhysics Letters A
dc.titleA geometric wave function for a few interacting bosons in a harmonic trap
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume378
dc.date.issued2014
local.identifier.absfor020601 - Degenerate Quantum Gases and Atom Optics
local.identifier.ariespublicationu4726473xPUB107
local.type.statusPublished Version
local.contributor.affiliationWilson, Brendan, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationFoerster, Angela, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationNoschang Kuhn, Carlos, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationRoditi, I, Centro Brasileiro de Pesquisas Fisicas
local.contributor.affiliationRubeni, D, Instituto de Física da UFRGS
local.description.embargo2037-12-31
local.bibliographicCitation.issue16-17
local.bibliographicCitation.startpage1065
local.bibliographicCitation.lastpage1070
local.identifier.doi10.1016/j.physleta.2014.02.009
local.identifier.absseo970102 - Expanding Knowledge in the Physical Sciences
dc.date.updated2015-12-08T09:17:10Z
local.identifier.scopusID2-s2.0-84897026936
local.identifier.thomsonID000334989700004
CollectionsANU Research Publications

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