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We study the stability of singly- and doubly-quantized vortex states of harmonically trapped dipolar Bose-Einstein Condensates (BECs) by calculating the low-lying excitations of these condensates. We map the dynamical stability of these…

Other Condensed Matter · Physics 2010-02-08 Ryan M. Wilson , Shai Ronen , John L. Bohn

For a Bose-Einstein condensate placed in a rotating trap, we give a simplified expression of the Gross-Pitaevskii energy in the Thomas Fermi regime, which only depends on the number and shape of the vortex lines. Then we check numerically…

Statistical Mechanics · Physics 2009-11-07 Amandine Aftalion , Tristan Riviere

We use a variational method to investigate the ground-state phase diagram of a small, asymmetric Bose-Einstein condensate with respect to the dimensionless interparticle interaction strength $\gamma$ and the applied external rotation speed…

Condensed Matter · Physics 2009-11-07 Marion Linn , Matthias Niemeyer , Alexander L. Fetter

We theoretically study the coherent expansion of a Bose-Einstein condensate in the presence of a confining impenetrable hard-wall potential. The nonlinear dynamics of the macroscopically coherent matter field results in rich and complex…

Statistical Mechanics · Physics 2009-10-31 J. Ruostekoski , B. Kneer , W. P. Schleich

We study the dynamics of polar core vortices in the easy plane phase of an atomic spin-1 Bose-Einstein condensate confined in a two-dimensional disc potential. A single vortex moves radially outward due to its interaction with background…

Quantum Gases · Physics 2025-10-30 Matthew Edmonds , Lewis A. Williamson , Matthew J. Davis

The dynamics of a phase-separated two-component Bose-Einstein condensate are investigated, in which a bubble of one component moves through the other component. Numerical simulations of the Gross--Pitaevskii equation reveal a variety of…

Quantum Gases · Physics 2015-05-20 Kazuki Sasaki , Naoya Suzuki , Hiroki Saito

Instabilities of vortex-ring-bright coherent structures in harmonically trapped two-component three-dimensional Bose-Einstein condensates are studied numerically within the coupled Gross-Pitaevskii equations and interpreted analytically.…

Quantum Gases · Physics 2022-02-09 Victor P. Ruban , Wenlong Wang , Christopher Ticknor , Panayotis G. Kevrekidis

In contrast to one-component Bose-Einstein condensate case, the vortices in two-component condensate can have various complicated structures. The vortices in a space-homogeneous Bose-Einstein condensate have been studied in this paper. It…

Quantum Gases · Physics 2015-03-03 Anatoly P. Ivashin , Yuri M. Poluektov

Interactions of solitary waves in a cylindrically confined Bose-Einstein condensate are investigated by simulating their head-on collisions. Slow vortex rings and fast solitons are found to collide elastically contrary to the situation in…

Other Condensed Matter · Physics 2009-11-11 Stavros Komineas , Joachim Brand

We consider a rapidly rotating two-component Bose-Einstein condensate with short-range s-wave interactions as well as dipolar coupling. We calculate the phase diagram of vortex lattice structures as a function of the intercomponent s-wave…

Quantum Gases · Physics 2015-06-18 N. Ghazanfari , A. Keleş , M. Ö. Oktel

We present a comprehensive theoretical study of vortex lattice formation in atomic Bose-Einstein condensates confined by a rotating elliptical trap. We consider rotating solutions of the classical hydrodynamic equations, their response to…

Other Condensed Matter · Physics 2009-11-11 N. G. Parker , R. M. W. van Bijnen , A. M. Martin

We study the three-dimensional ground state vortex lattice structures of purely dipolar Bose-Einstein condensate (BEC). By using the mean-field model we obtain a stability diagram for the vortex states in purely dipolar BECs as a function…

We study the creation of vortex states in a trapped Bose-Einstein condensate by a rotating force. For a harmonic trapping potential the rotating force induces only a circular motion of the whole condensate around the trap center which does…

Statistical Mechanics · Physics 2009-10-30 Karl-Peter Marzlin , Weiping Zhang

The dissipative dynamics of a vortex in a finite temperature trapped Bose-Einstein condensate are shown to be governed by a {\em diffusive instability}. In the weakly interacting regime we find a cross-over from instability to metastability…

Statistical Mechanics · Physics 2007-05-23 A. S. Bradley , C. W. Gardiner

We characterize several equilibrium vortex effects in a rotating Bose-Einstein condensate. Specifically we attempt precision measurements of vortex lattice spacing and the vortex core size over a range of condensate densities and rotation…

Soft Condensed Matter · Physics 2009-11-10 I. Coddington , P. C. Haljan , P. Engels , V. Schweikhard , S. Tung , E. A. Cornell

Vortex nucleation in a Bose-Einstein condensate subject to a stirring potential is studied numerically using the zero-temperature, two-dimensional Gross-Pitaevskii equation. It is found that this theory is able to describe the creation of…

Condensed Matter · Physics 2009-11-07 Emil Lundh , J. -P. Martikainen , Kalle-Antti Suominen

Motivated by recent experiments, we theoretically study a gas of atomic bosons confined in an elliptical harmonic trap; forming a quasi-two-dimensional atomic Bose-Einstein condensate subject to a density-dependent gauge potential which…

Quantum Gases · Physics 2021-10-18 Matthew Edmonds

Reconnections and interactions of filamentary coherent structures play a fundamental role in the dynamics of fluids, plasmas and nematic liquid crystals. In fluids, vortex reconnections redistribute energy and helicity among the length…

We study the precessing motion of a vortex in a Bose-Einstein condensate of atomic gases. In addition to the former zero-temperature studies, finite temperature systems are treated within the Popov and semiclassical approximations.…

Soft Condensed Matter · Physics 2016-08-16 Tomoya Isoshima , Jukka Huhtamäki , Martti M. Salomaa

In this letter we investigate the effects of dipole-dipole interactions on the vortex lattices in fast rotating Bose-Einstein condensates. For single planar condensate, we show that the triangular lattice structure will be unfavorable when…

Other Condensed Matter · Physics 2009-11-11 Jian Zhang , Hui Zhai