Ground-state properties of a Tonks-Girardeau gas in a split trap

dc.contributor.authorGoold, John
dc.contributor.authorBusch, Thomas
dc.date.accessioned2017-08-25T10:08:53Z
dc.date.available2017-08-25T10:08:53Z
dc.date.issued2008
dc.description.abstractWe determine the exact many-body properties of a bosonic Tonks-Girardeau gas confined in a harmonic potential with a tunable delta-function barrier at the trap center. This is done by calculating the reduced single-particle density matrix, the pair-distribution function, and the momentum distribution of the gas as a function of barrier strength and particle number. With increasing barrier height we find that the ground-state occupation in a diagonal basis diverges from the root N behavior that is expected for the case of a simple harmonic trap. In fact, the scaling of the occupation number depends on whether one has an even or odd number of particles. Since this quantity is a measure of the coherence of our sample we show how the odd-even effect manifests itself in both the momentum distribution of the Bose gas and interference fringe visibility during free temporal evolution.en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid63601
dc.identifier.citationGoold, J. and Busch, T. (2008) 'Ground-state properties of a Tonks-Girardeau gas in a split trap', Physical Review A, 77(6), 063601 (7pp). doi: 10.1103/PhysRevA.77.063601en
dc.identifier.doi10.1103/PhysRevA.77.063601
dc.identifier.issn1050-2947
dc.identifier.issued6
dc.identifier.journaltitlePhysical Review Aen
dc.identifier.urihttps://hdl.handle.net/10468/4541
dc.identifier.volume77
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttps://journals.aps.org/pra/abstract/10.1103/PhysRevA.77.063601
dc.rights© 2008, American Physical Societyen
dc.subjectImpenetrable bosonsen
dc.subjectAtomsen
dc.subjectSystemsen
dc.titleGround-state properties of a Tonks-Girardeau gas in a split trapen
dc.typeArticle (peer-reviewed)en
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