Ion-induced density bubble in a strongly correlated one-dimensional gas

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dc.contributor.authorGoold, John
dc.contributor.authorDoerk, H.
dc.contributor.authorIdziaszek, Z.
dc.contributor.authorCalarco, T.
dc.contributor.authorBusch, Thomas
dc.date.accessioned2017-08-25T10:08:51Z
dc.date.available2017-08-25T10:08:51Z
dc.date.issued2010
dc.description.abstractWe consider a harmonically trapped Tonks-Girardeau gas of impenetrable bosons in the presence of a single embedded ion, which is assumed to be tightly confined in an RF trap. In an ultracold ion-atom collision the ion's charge induces an electric dipole moment in the atoms which leads to an attractive r(-4) potential asymptotically. We treat the ion as a static deformation of the harmonic trap potential and model its short range interaction with the gas in the framework of quantum defect theory. The molecular bound states of the ionic potential are not populated due to the lack of any possible relaxation process in the Tonks-Girardeau regime. Armed with this knowledge we calculate the density profile of the gas in the presence of a central ionic impurity and show that a density bubble of the order of 1 mu m occurs around the ion for typical experimental parameters. From these exact results we show that an ionic impurity in a Tonks gas can be described using a pseudopotential approximation, allowing for significantly easier treatment.en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid41601
dc.identifier.citationGoold, J., Doerk, H., Idziaszek, Z., Calarco, T. and Busch, T. (2010) 'Ion-induced density bubble in a strongly correlated one-dimensional gas', Physical Review A, 81(4), 041601 (4pp). doi: 10.1103/PhysRevA.81.041601en
dc.identifier.doi10.1103/PhysRevA.81.041601
dc.identifier.issn1050-2947
dc.identifier.issued4
dc.identifier.journaltitlePhysical Review Aen
dc.identifier.urihttps://hdl.handle.net/10468/4530
dc.identifier.volume81
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttps://journals.aps.org/pra/abstract/10.1103/PhysRevA.81.041601
dc.rights© 2010, American Physical Societyen
dc.subjectTonks-Girardeau gasen
dc.subjectImpenetrable bosonsen
dc.titleIon-induced density bubble in a strongly correlated one-dimensional gasen
dc.typeArticle (peer-reviewed)en
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