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We study the nucleation and dynamics of vortices in rotating lattice potentials where weakly linked condensates are formed with each condensate exhibiting an almost axial symmetry. Due to such a symmetry, the on-site phases acquire a linear…

Quantum Gases · Physics 2023-12-20 D. M. Jezek , P. Capuzzi

Three-dimensional solitary and vortex structures in Bose-Einstein condensates are studied in the framework of Gross-Pitaevskii model including the simultaneous action of local cubic-quintic nonlinearity and nonlocal dipole-dipole…

Pattern Formation and Solitons · Physics 2009-11-13 Yu. A. Zaliznyak , A. I. Yakimenko

We present a theoretical analysis of dilute gas Bose-Einstein condensates with dipolar atomic interactions under rotation in elliptical traps. Working in the Thomas-Fermi limit, we employ the classical hydrodynamic equations to first derive…

Quantum Gases · Physics 2013-05-29 R. M. W. van Bijnen , A. J. Dow , D. H. J. O'Dell , N. G. Parker , A. M. Martin

A straight forward numerical technique, based on the Gross-Pitaevskii equation, is used to generate a self-consistent description of thermally-excited states of a dilute boson gas. The process of evaporative cooling is then modelled by…

Condensed Matter · Physics 2009-10-31 R. J. Marshall , G. H. C. New , K. Burnett , S. Choi

We observed a new mechanism for vortex nucleation in Bose-Einstein condensates (BECs) subject to synthetic magnetic fields. We made use of a strong synthetic magnetic field initially localized between a pair of merging BECs to rapidly…

Quantum Gases · Physics 2023-07-20 R. M. Price , D. Trypogeorgos , D. L. Campbell , A. Putra , A. Valdés-Curiel , I. B. Spielman

The effects of a sudden increase and decrease of the interatomic interaction and harmonic-oscillator trapping potential on vortices in a quasi two-dimensional rotating Bose-Einstein condensate are investigated using the mean-field…

Soft Condensed Matter · Physics 2015-06-24 Sadhan K. Adhikari , Paulsamy Muruganandam

The dynamical instabilities and ensuing dynamics of singly- and doubly-quantized vortex states of Bose-Einstein condensates with attractive interactions are investigated using full 3D numerical simulations of the Gross-Pitaevskii equation.…

Condensed Matter · Physics 2009-11-10 Hiroki Saito , Masahito Ueda

The dynamics of a filled massive vortex is studied numerically and analytically using a two-dimensional model of a two-component Bose--Einstein condensate trapped in a harmonic trap. This condensate exhibits phase separation. In the…

Quantum Gases · Physics 2022-06-29 Victor P. Ruban

We study the stability of vortices in a binary system of Bose-Einstein condensates, with their wave functions modeled by a set of coupled, time-dependent Gross-Pitaevskii equations. Beginning with an effective two-dimensional system, we…

Quantum Gases · Physics 2025-01-13 Ajay Srinivasan , Aaron Wirthwein , Stephan Haas

We present analytic and numerical results for a class of monopole solutions to the two-component Gross-Pitaevski equation for a two-species Bose condensate in an effectively two-dimensional trap. We exhibit dynamical instabilities involving…

Condensed Matter · Physics 2009-10-31 Th. Busch , J. R. Anglin

We show the generation of two-dimensional quantum turbulence through simulations of a giant vortex decay in a trapped Bose-Einstein condensate. While evaluating the incompressible kinetic energy spectra of the quantum fluid described by the…

Quantum Gases · Physics 2014-05-06 A. C. Santos , V. S. Bagnato , F. E. A. dos Santos

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 analyse, theoretically and experimentally, the nature of solitonic vortices (SV) in an elongated Bose-Einstein condensate. In the experiment, such defects are created via the Kibble-Zurek mechanism, when the temperature of a gas of…

In this work we consider vortex lattices in rotating Bose-Einstein Condensates composed of two species of bosons having different masses. Previously [1] it was claimed that the vortices of the two species form bound pairs and the two vortex…

Quantum Gases · Physics 2012-02-22 Ryan Barnett , Edward Chen , Gil Refael

We study the flow of a weakly-interacting Bose-Einstein condensate around an obstacle by numerical solution of the Gross-Pitaevskii equation. We observe vortex emission and the formation of bow waves leading to pressure drag. We compare the…

Statistical Mechanics · Physics 2009-10-31 T. Winiecki , J. F. McCann , C. S. Adams

We consider the intrinsic stability of the vortex states of a pure Bose-Einstein condensate confined in a harmonic potential under the effects of coherent atom-atom interaction. We find that stable vortices can be supported, and that vortex…

Statistical Mechanics · Physics 2012-01-25 H. Pu , C. K. Law , J. H. Eberly , N. P. Bigelow

The center-of-mass dynamics of a vortex in the surface region of a Bose-Einstein condensate is investigated both analytically using a variational calculation and numerically by solving the time-dependent Gross-Pitaevskii equation. We find,…

Statistical Mechanics · Physics 2009-11-10 U. Al Khawaja

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

We investigate the stability of a vortex ring in a miscible two-component Bose-Einstein condensate confined in a harmonic potential, where the vortex cores in the two components are initially overlapped. Solving the Gross-Pitaevskii…

Quantum Gases · Physics 2024-10-17 Rabeea Kiran , Hiroki Saito

Simulations of a rotationally stirred condensate show that a regime of simple behaviour occurs in which a single vortex cycles in and out of the condensate. We present a simple quantitative model of this behaviour, which accurately…

Condensed Matter · Physics 2009-10-31 B. M. Caradoc-Davies , R. J. Ballagh , K. Burnett