Elements of Vortex-Dipole Dynamics in a Nonuniform Bose–Einstein Condensate

  title={Elements of Vortex-Dipole Dynamics in a Nonuniform Bose–Einstein Condensate},
  author={Roger Sakhel and Asaad R Sakhel},
  journal={Journal of Low Temperature Physics},
The elements of the vortex-dipole (VD) dynamics are numerically examined in a nonuniform Bose–Einstein condensate (BEC) using the time-dependent Gross–Pitaevskii equation that is solved by the split-step Crank–Nicolson method in real time. The BEC is trapped in a harmonic potential, surrounded by a hard-wall box potential, and stirred by an attractive focusing laser. In this regard, we particularly refer to a recent examination by Aioi et al. (Phys. Rev. X, 1: 021003, 2011) who presented… Expand
5 Citations
Elements of Dynamics of a One-Dimensional Trapped Bose–Einstein Condensate Excited by a Time-Dependent Dimple: A Lagrangian Variational Approach
We examine the dynamics of a one-dimensional harmonically trapped Bose–Einstein condensate (BEC), induced by the addition of a dimple trap whose depth oscillates with time. For this purpose, theExpand
Propagation dynamics of off-axis symmetrical and asymmetrical vortices embedded in flat-topped beams
Abstract In this paper, propagation dynamics of off-axis symmetrical and asymmetrical optical vortices(OVs) embedded in flat-topped beams have been explored numerically based on rigorous scalarExpand
Properties of a strongly focused Gaussian beam with an off-axis vortex
Abstract The intensity distribution and the phase properties, especially the Gouy phase and the phase singularities are studied in a strongly focused Gaussian beam with an off-axis vortex. TheExpand
OpenMP GNU and Intel Fortran programs for solving the time-dependent Gross-Pitaevskii equation
We present Open Multi-Processing (OpenMP) version of Fortran 90 programs for solving the Gross–Pitaevskii (GP) equation for a Bose–Einstein condensate in one, two, and three spatial dimensions,Expand


Acoustic radiation from vortex-barrier interaction in atomic Bose-Einstein condensate
We examine the dynamics of a vortex dipole in the Bose-Einstein condensates (BECs) of trapped dilute atomic gases at zero temperature in the presence of a Gaussian barrier potential. TheExpand
Nonlinear dynamics in a trapped atomic Bose-Einstein condensate induced by an oscillating Gaussian potential
We consider a trapped atomic Bose-Einstein condensate penetrated by a repulsive Gaussian potential and theoretically investigate the dynamics induced by oscillating the Gaussian potential. Our studyExpand
Vortex lattice formation in a rotating Bose-Einstein condensate
We study the dynamics of vortex lattice formation of a rotating trapped Bose-Einstein condensate by numerically solving the two-dimensional Gross-Pitaevskii equation, and find that the condensateExpand
Observation of vortex dipoles in an oblate Bose-Einstein condensate.
By controlling the flow velocity, this work determines the critical velocity for the nucleation of a single vortex dipole, with excellent agreement between experimental and numerical results. Expand
Thermal friction on quantum vortices in a Bose-Einstein condensate
We investigate the dissipative dynamics of a corotating vortex pair in a highly oblate axisymmetric Bose-Einstein condensate trapped in a harmonic potential. The initial vortex state is prepared byExpand
Nonequilibrium Dynamics of a Bose-Einstein Condensate Excited by a Red Laser Inside a Power-Law Trap with Hard Walls
We explore the nonequilibrium dynamics of a two-dimensional trapped Bose-Einstein condensate excited by a moving red-detuned laser potential. The trap is a combination of a general power-lawExpand
Generating and Manipulating Quantized Vortices On-Demand in a Bose-Einstein Condensate: a Numerical Study
We numerically investigate an experimentally viable method for generating and manipulating on-demand several vortices in a highly oblate atomic Bose-Einstein condensate (BEC) in order to initializeExpand
Motion of quantum vortices on inhomogeneous backgrounds
The motion of quantized vortices on two-dimensional inhomogeneous density backgrounds with boundaries is considered numerically and asymptotically. We show that a Hamiltonian group relation togetherExpand
Theory of Bose-Einstein condensation in trapped gases
The phenomenon of Bose-Einstein condensation of dilute gases in traps is reviewed from a theoretical perspective. Mean-field theory provides a framework to understand the main features of theExpand
Soliton and phonon production by an oscillating obstacle in a quasi-one-dimensional trapped repulsive Bose-Einstein condensate
We use the one-dimensional (1D) Gross-Pitaevskii equation to investigate the dynamical evolution of a dilute repulsive Bose-Einstein condensate (BEC) confined in an elongated static nonharmonic trapExpand