Guiding-center dynamics of vortex dipoles in Bose-Einstein condensates

  title={Guiding-center dynamics of vortex dipoles in Bose-Einstein condensates},
  author={Stephan Middelkamp and Pedro J. Torres and P G Kevrekidis and Dimitri J. Frantzeskakis and Ricardo Carretero-Gonz{\'a}lez and Peter Schmelcher and Daniel V. Freilich and David S Hall},
  journal={Physical Review A},
A quantized vortex dipole is the simplest vortex molecule, comprising two countercirculating vortex lines in a superfluid. Although vortex dipoles are endemic in two-dimensional superfluids, the precise details of their dynamics have remained largely unexplored. We present here several striking observations of vortex dipoles in dilute-gas Bose-Einstein condensates, and develop a vortex-particle model that generates vortex line trajectories that are in good agreement with the experimental data… Expand
Dynamics and Interaction of Vortex Lines in an Elongated Bose-Einstein Condensate.
Good agreement with theoretical predictions is found for the precession period as a function of the orbit amplitude and the number of condensed atoms in a large elongated Bose-Einstein condensate of sodium atoms using a stroboscopic technique. Expand
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We propose methods to generate and manipulate vortex dipoles in a Bose-Einstein condensate using Gaussian beams of red or blue-detuned laser. Velocity-controlled vortex dipoles are shown to beExpand
Annihilation of vortex dipoles in an oblate Bose–Einstein condensate
We theoretically explore the annihilation of vortex dipoles, generated when an obstacle moves through an oblate Bose–Einstein condensate, and examine the energetics of the annihilation event. We showExpand
Few-Particle Vortex Cluster Equilibria in Bose-Einstein Condensates: Existence and Stability
Motivated by recent experimental and theoretical studies of fewparticle vortex clusters in Bose-Einstein condensates, we consider the ordinary differential equations of motion and systematicallyExpand
Dynamics of vortex quadrupoles in nonrotating trapped Bose-Einstein condensates
This paper examines the dynamics of vortex quadrupoles in a trapped two-dimensional Bose-Einstein condensate and finds that the movement of these vortex-clusters fall into three distinct regimes which are fully described by the radial positions of the vortices in a 2D isotropic harmonic trap, or by the major radius (minor radius) of the elliptical equipotential lines decided by the vortex positions in a2D anisotropic harmonic trap. Expand
Dynamics of Vortex Dipoles in Anisotropic Bose-Einstein Condensates
It is found that the dynamics of a vortex dipole in a Bose--Einstein condensate confined to an anisotropic trap is essentially that of a pendulum coupled to a linear oscillator, leading to stochastic reversals in the overall direction of rotation of the dipole. Expand
Propagation and annihilation of vortex pairs in a smoothly inhomogeneous Bose-Einstein condensate
An asymptotic theory has been developed to describe the propagation and annihilation of vortex pairs in a smoothly inhomogeneous Bose-Einstein condensate with the repulsive interaction between atoms.Expand
On the characterization of vortex configurations in the steady rotating Bose–Einstein condensates
  • P. Kevrekidis, D. Pelinovsky
  • Physics, Mathematics
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2017
Motivated by experiments in atomic Bose–Einstein condensates (BECs), we compare predictions of a system of ordinary differential equations (ODEs) for dynamics of one and two individual vortices inExpand
Collective dynamics of vortices in trapped Bose-Einstein condensates
We have calculated collective mode spectra for three-dimensional, rotating Bose-Einstein condensates in oblate harmonic traps using the microscopic Bogoliubov-deGennes field theory. For condensatesExpand
Motion of vortices in inhomogeneous Bose-Einstein condensates
We derive a general and exact equation of motion for a quantized vortex in an inhomogeneous two-dimensional Bose-Einstein condensate. This equation expresses the velocity of a vortex as a sum ofExpand


Bose-Einstein Condensation in Dilute Gases
1. Introduction 2. The non-interacting Bose gas 3. Atomic properties 4. Trapping and cooling of atoms 5. Interactions between atoms 6. Theory of the condensed state 7. Dynamics of the condensate 8.Expand
Bose-Einstein condensation
In 1924 the Indian physicist Satyendra Nath Bose sent Einstein a paper in which he derived the Planck law for black-body radiation by treating the photons as a gas of identical particles. EinsteinExpand
The theory of quantum liquids
* Introduction * Experimental and Theoretical Background on He II. * Elementary Excitations * Elementary Excitations in He II * Superfulid Behavior: Response to a Transverse Probe. QualitativeExpand
Progress in low temperature physics
Preface. Contents of previous volumes. 1. Critical behavior and scaling of confined 4 He (F.M. Gasparini and I. Rhee). 2. Ultrasonic spectroscopy of the order parameter collective modes of superfluidExpand
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)Expand
  • R. Rosenfeld
  • Medicine
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I am writing with a simple plea to balance the voluminous articles about treatment in your journal with a modicum of information about nature and caring effects to rekindle the perception of physicians as healers, not only treaters, who relish the gifts of nature, and foster the humanistic aspect of medicine that has thrived for millennia. Expand
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