19 research outputs found
A novel method to create a vortex in a Bose-Einstein condensate
It has been shown that a vortex in a BEC with spin degrees of freedom can be
created by manipulating with external magnetic fields. In the previous work, an
optical plug along the vortex axis has been introduced to avoid Majorana flips,
which take place when the external magnetic field vanishes along the vortex
axis while it is created. In the present work, in contrast, we study the same
scenario without introducing the optical plug. The magnetic field vanishes only
in the center of the vortex at a certain moment of the evolution and hence we
expect that the system will lose only a fraction of the atoms by Majorana flips
even in the absence of an optical plug. Our conjecture is justified by
numerically solving the Gross-Pitaevskii equation, where the full spinor
degrees of freedom of the order parameter are properly taken into account. A
significant simplification of the experimental realization of the scenario is
attained by the omission of the optical plug.Comment: 8 pages, 11 figure
Interferometric detection of a single vortex in a dilute Bose-Einstein condensate
Using two radio frequency pulses separated in time we perform an amplitude
division interference experiment on a rubidium Bose-Einstein condensate. The
presence of a quantized vortex, which is nucleated by stirring the condensate
with a laser beam, is revealed by a dislocation in the fringe pattern.Comment: 4 pages, 4 figure
Oscillations of a rapidly rotating annular Bose-Einstein condensate
A time-dependent variational Lagrangian analysis based on the
Gross-Pitaevskii energy functional serves to study the dynamics of a metastable
giant vortex in a rapidly rotating Bose-Einstein condensate. The resulting
oscillation frequencies of the core radius reproduce the trends seen in recent
experiments [Engels et al., Phys. Rev. Lett. 90, 170405 (2003)], but the
theoretical values are smaller by a factor approximately 0.6-0.8.Comment: 7 pages, revtex
Spinor Bose-Einstein Condensates with Many Vortices
Vortex-lattice structures of antiferromagnetic spinor Bose-Einstein
condensates with hyperfine spin F=1 are investigated theoretically based on the
Ginzburg-Pitaevskii equations near . The Abrikosov lattice with clear
core regions are found {\em never stable} at any rotation drive .
Instead, each component prefers to shift the core
locations from the others to realize almost uniform order-parameter amplitude
with complicated magnetic-moment configurations. This system is characterized
by many competing metastable structures so that quite a variety of vortices may
be realized with a small change in external parameters.Comment: 4 page
Kelvin Modes of a fast rotating Bose-Einstein Condensate
Using the concept of diffused vorticity and the formalism of rotational
hydrodynamics we calculate the eigenmodes of a harmonically trapped
Bose-Einstein condensate containing an array of quantized vortices. We predict
the occurrence of a new branch of anomalous excitations, analogous to the
Kelvin modes of the single vortex dynamics. Special attention is devoted to the
excitation of the anomalous scissors mode.Comment: 7 pages, 3 figures, submitted to Phys. Rev.
Vortex nucleation in Bose-Einstein condensates in time-dependent traps
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 vortices, but not the crystallization of a vortex lattice. In the
case of a rotating, slightly anisotropic harmonic potential, the numerical
results reproduce experimental findings, thereby showing that finite
temperatures are not necessary for vortex excitation below the quadrupole
frequency. In the case of a condensate subject to stirring by a narrow rotating
potential, the process of vortex excitation is described by a classical model
that treats the multitude of vortices created by the stirrer as a continuously
distributed vorticity at the center of the cloud, but retains a potential flow
pattern at large distances from the center.Comment: 22 pages, 7 figures. Changes after referee report: one new figure,
new refs. No conclusions altere
Macroscopic dynamics of a Bose-Einstein condensate containing a vortex lattice
Starting from the equations of rotational hydrodynamics we study the
macroscopic behaviour of a trapped Bose-Einstein condensate containing a large
number of vortices. The stationary configurations of the system, the
frequencies of the collective excitations and the expansion of the condensate
are investigated as a function of the angular velocity of the vortex lattice.
The time evolution of the condensate and of the lattice geometry induced by a
sudden deformation of the trap is also discussed and compared with the recent
experimental results of P. Engels et al., Phys. Rev. Lett. 89, 100403 (2002).Comment: 4 pages, 4 figure
Nonlinear interference in a mean-field quantum model
Using similar nonlinear stationary mean-field models for Bose-Einstein
Condensation of cold atoms and interacting electrons in a Quantum Dot, we
propose to describe the original many-particle ground state as a one-particle
statistical mixed state of the nonlinear eigenstates whose weights are provided
by the eigenstate non-orthogonality. We search for physical grounds in the
interpretation of our two main results, namely, quantum-classical nonlinear
transition and interference between nonlinear eigenstates.Comment: RevTeX (pdfLaTeX), 7 pages with 5 png-figures include
Excitation spectrum of vortex lattices in rotating Bose-Einstein condensates
Using the coarse grain averaged hydrodynamic approach, we calculate the
excitation spectrum of vortex lattices sustained in rotating Bose-Einstein
condensates. The spectrum gives the frequencies of the common-mode longitudinal
waves in the hydrodynamic regime, including those of the higher-order
compressional modes. Reasonable agreement with the measurements taken in a
recent JILA experiment is found, suggesting that one of the longitudinal modes
reported in the experiment is likely to be the , mode.Comment: 2 figures. Submitted to Physical Review A. v2 contains more
references. No change in the main resul
Vortex lattice of a Bose-Einstein Condensate in a rotating anisotropic trap
We study the vortex lattices in a Bose-Einstein Condensate in a rotating
anisotropic harmonic trap. We first investigate the single particle
wavefunctions obtained by the exact solution of the problem and give simple
expressions for these wavefunctions in the small anisotropy limit. Depending on
the strength of the interactions, a few or a large number of vortices can be
formed. In the limit of many vortices, we calculate the density profile of the
cloud and show that the vortex lattice stays triangular. We also find that the
vortex lattice planes align themselves with the weak axis of the external
potential. For a small number of vortices, we numerically solve the
Gross-Pitaevskii equation and find vortex configurations that are very
different from the vortex configurations in an axisymmetric rotating trap.Comment: 15 pages,4 figure