239 research outputs found
Quantum Vortex in a Vectorial Bose-Einstein Condensate
Quantum vortices in the multi-component Bose-Einstein condensation (BEC) are
investigated theoretically. It is found that three kinds of the vortex
configurations are possible and their physical properties are discussed in
details, including the density distribution and the spin texture. By using the
Bogoliubov theory extended to the three component BEC, the collective modes for
these vortices are evaluated. The local vortex stability for these vortices are
examined in light of the existence of the negative eigenvalue, yielding a
narrow magnetization window for the local intrinsic stable region where the
multi-components work together to stabilize a vortex in a self-organized way.Comment: 8 pages, 14 eps figure
Vortex phase diagram in trapped Bose-Einstein condensation
The vortex phase diagram in the external rotation frequency versus
temperature is calculated for dilute Bose-Einstein condensed gases. It is
determined within the Bogoliubov-Popov theory for a finite temperature where
the condensate and non-condensate fractions are treated in an equal footing.
The temperature dependences of various thermodynamic instability lines for the
vortex nucleation are computed to construct the phase diagram. Experiments are
proposed to resolve a recent controversy on the vortex creation problem
associated with the quantized vortex observation in Rb atom gases.Comment: 11 pages, 8 figure
Infinitely many standard trisection diagrams for Gluck twisting
Gay and Meier asked if a trisection diagram for the Gluck twist on a spun or
twist-spun 2-knot in obtained by a certain method is standard. In this
paper, we show that the trisection diagram for the Gluck twist on the spun
-torus knot is standard, where is any integer greater than or
equal to 2.Comment: 16 pages, 17 figure
A simple method to create a vortex in Bose-Einstein condensate of alkali atoms
Bose-Einstein condensation in alkali atoms has materialized quite an
interesting system, namely a condensate with a spin degree of freedom. In
analogy with the A-phase of the superfluid He, numerous textures with
nonvanishing vorticity have been proposed. In the present paper, interesting
properties of such spin textures are analyzed. We propose a remarkably simple
method to create a vortex state of a BEC in alkali atoms.Comment: 2 pages, 1 eps figure. Proceedings of LT22. The title is changed from
the submitted version: Vortices in Bose-Einstein condensate with spin degree
of freedo
On the effect of the thermal gas component to the stability of vortices in trapped Bose-Einstein condensates
We study the stability of vortices in trapped single-component Bose-Einstein
condensates within self-consistent mean-field theories--especially we consider
the Hartree-Fock-Bogoliubov-Popov theory and its recently proposed gapless
extensions. It is shown that for sufficiently repulsively interacting systems
the anomalous negative-energy modes related to vortex instabilities are lifted
to positive energies due to partial filling of the vortex core with
noncondensed gas. Such a behavior implies that within these theories the vortex
states are eventually stable against transfer of condensate matter to the
anomalous core modes. This self-stabilization of vortices, shown to occur under
very general circumstances, is contrasted to the predictions of the
non-self-consistent Bogoliubov approximation, which is known to exhibit
anomalous modes for all vortex configurations and thus implying instability of
these states. In addition, the shortcomings of these approximations in
describing the properties of vortices are analysed, and the need of a
self-consistent theory taking properly into account the coupled dynamics of the
condensate and the noncondensate atoms is emphasized.Comment: 8 page
Precessional motion of a vortex in a finite-temperature Bose-Einstein condensate
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. Precessing vortices are discussed utilizing the rotating frame
of reference. The relationship between the sign of the lowest excitation energy
and the direction of precession is discussed in detail.Comment: 6 pages, 9 figures. More discussion in Sec.III. Reference is update
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