VORTICES IN BOSE–EINSTEIN CONDENSATES: SOME RECENT DEVELOPMENTS

DOI10.1142/S0217984904007967zbMath1086.82014arXivcond-mat/0501030WikidataQ56039506 ScholiaQ56039506MaRDI QIDQ5704677

Ioannis G. Kevrekidis, R. Carretero-González, Panayotis G. Kevrekidis, Dimitrios J. Frantzeskakis

Publication date: 15 November 2005

Published in: Modern Physics Letters B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0501030

zbMATH Keywords

stabilityexistencedynamicsvorticesBose-Einstein condensationvortex latticesvortex dipolesmatter waves

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Many-body theory; quantum Hall effect (81V70) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Statistical mechanics of gases (82D05)

Related Items (15)

Vortex solutions of the discrete Gross-Pitaevskii equation starting from the anti-continuum limit ⋮ Solitary waves in discrete media with four-wave mixing ⋮ Rotating matter waves in Bose-Einstein condensates ⋮ Dynamics of rotating Bose-Einstein condensates probed by Bragg scattering ⋮ Dynamics of two vortex rings in a Bose-Einstein condensate ⋮ Structure dominated two-dimensional turbulence: formation, dynamics and interactions of dipole vortices ⋮ Periodic and quasi-periodic solutions of a four-dimensional singular differential system describing the motion of vortices ⋮ Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation ⋮ Trapped bright matter-wave solitons in the presence of localized inhomogeneities ⋮ Critical angular velocity for vortex lines formation ⋮ Pattern formation and evidence of quantum turbulence in binary Bose-Einstein condensates interacting with a pair of Laguerre-Gaussian laser beams ⋮ Disk-shaped Bose–Einstein condensates in the presence of an harmonic trap and an optical lattice ⋮ Toroidal Vortex Filament Knots and Links: Existence, Stability and Dynamics ⋮ Existence, Stability and Nonlinear Dynamics of Vortices and Vortex Clusters in Anisotropic Bose-Einstein Condensates ⋮ Numerical Study of Quantized Vortex Interactions in the Nonlinear Schrödinger Equation on Bounded Domains

Cites Work

• Dynamics and statics of vortices on a plane and a sphere. I
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Spectrally stable encapsulated vortices for nonlinear Schrödinger equations
• Generating structured flow diagrams: the nature of unstructuredness
• Motion of 2D Schrödinger Solitary Waves in the Presence of Random External Potentials

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