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Ground States and Vortices of Matter-wave Condensates and Optical Guilded Waves

Alexander, Tristram J; Berge, Lars I

Description

We analyze the shape and stability of localized states in nonlinear cubic media with space-dependent potentials modeling an inhomogeneity. By means of a static variational approach, we describe the ground states and vortexlike stationary solutions, either in dilute atom gases or in optical cavities, with an emphasis on parabolic-type potentials. First, we determine the existence conditions for soliton and vortex structures for both focusing and defocusing nonlinearity. It is shown that, even...[Show more]

dc.contributor.authorAlexander, Tristram J
dc.contributor.authorBerge, Lars I
dc.date.accessioned2015-12-13T22:19:18Z
dc.date.available2015-12-13T22:19:18Z
dc.identifier.issn1063-651X
dc.identifier.urihttp://hdl.handle.net/1885/71724
dc.description.abstractWe analyze the shape and stability of localized states in nonlinear cubic media with space-dependent potentials modeling an inhomogeneity. By means of a static variational approach, we describe the ground states and vortexlike stationary solutions, either in dilute atom gases or in optical cavities, with an emphasis on parabolic-type potentials. First, we determine the existence conditions for soliton and vortex structures for both focusing and defocusing nonlinearity. It is shown that, even for a defocusing medium, soliton modes can exist with a confining potential. Second, step potentials and boundedness effects in hollow capillaries are investigated, which both proceed from a similar analysis. Finally, we discuss applications of this procedure to charged vortices in dilute quantum gases and to Bose-Einstein condensates trapped in the presence of a light-induced Gaussian barrier.
dc.publisherAmerican Physical Society
dc.sourcePhysical Review E
dc.subjectKeywords: Boundary conditions; Capillary flow; Condensation; Gradient index optics; Ground state; Integral equations; Laser beams; Optical waveguides; Quantum theory; Solitons; Capillary waveguides; Optical cavities; Optical guided waves; Vortex structures; Guided
dc.titleGround States and Vortices of Matter-wave Condensates and Optical Guilded Waves
dc.typeJournal article
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.citationvolume65
dc.date.issued2002
local.identifier.absfor020204 - Plasma Physics; Fusion Plasmas; Electrical Discharges
local.identifier.ariespublicationMigratedxPub2850
local.type.statusPublished Version
local.contributor.affiliationAlexander, Tristram J, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationBerge, Lars I, Statoil Research Centre
local.bibliographicCitation.startpage026611-1-17
local.identifier.doi10.1103/PhysRevE.65.026611
dc.date.updated2015-12-11T07:46:20Z
local.identifier.scopusID2-s2.0-41349099224
CollectionsANU Research Publications

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