Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Circulation condition of the two-component Bose-Einstein condensate

JiaDJ, DuanYS, LeeX

Published Jan 1, 2001• 0 citations
OpenAlex

Abstract

A new circulation condition which appears as a generalization of Mermin-Ho relation is presented for two-component spin-1/2 Bose-Einstein condensates as a topological constrain of the superfluid velocity due to SU(2) symmetry of the internal states. The possibility of creating fractional vortices in the condensate is discussed. (C) 2001 Elsevier Science B.V. All rights reserved.

Related papers

Decomposition of the SU(2) gauge field and circulation condition of the Bose-Einstein condensate

LiXG, JiaDJ, GaoY

Using decomposition of the SU(2) gauge field in terms of unit vector field, we have discussed circulation condition of the spin-1/2 Bose-Einstein dendensate. For the two-component Bose-Einstein condensate, the SU(2) symmetry of the internal states leads to a generalization of Mermin-Ho relation as a topological constrain of the superfluid velocity.

•Jan 1, 2003•0 citations

Decomposition of the SU (2) Gauge Field and Circulation Condition of the Bose-Einstein Condensate

Li Xi-Guo, Duojie Jia, Gao Yuan

Using decomposition of the SU(2) gauge field in terms of unit vector field, we have discussed circulation condition of the spin-1/2 Bose-Einstein dendensate. For the two-component Bose-Einstein condensate,the SU/(2) symmetry of the internal states leads to a generalization of Mermin-Ho relation as a topological constrain of the superfluid velocity.

Chinese Physics C•Jan 5, 2003•0 citations

Decomposition of the SU(2) Gauge Field and Circulation Condition of the Bose- Einstein Condensate

Xi Li

Using decomposition of the SU(2) gauge field in terms of unit vector field, we have discussed circulation condition of the spin-1/2 Bose-Einstein dendensate. For the two-component Bose-Einstein condensate, the SU(2) symmetry of the internal states leads to a generalization of Mermin-Ho relation as a topological constrain of the superfluid velocity.

Chinese Physics C•Jan 1, 2003•1 citation

Nonholonomy of order parameters and su(3) vortices in spin-1 Bose-Einstein condensates

Emi Yukawa, Masahito Ueda

A generalized Mermin-Ho relation for a spin-1 Bose-Einstein condensate is derived, which is applicable to vortices regardless of the symmetry and spin polarization of the order parameter. The obtained relation implies an su(3) mass-current circulation and two classes of vortices corresponding to two different su(2) subalgebras.

arXiv:1804.05518•Physical Review A•Jul 9, 2018•9 citations

Vortex-vortex interaction in two-component Bose-Einstein condensates

Patrik Öhberg, Luis Santos

The vortex-vortex interaction in two-component Bose-Einstein condensates is shown to present characteristic effects not possible in single-component condensates. In particular, vortices in different components undergo separate, but concentric, orbits for both the same and opposite circulation. In addition, contrary to the well-known behavior in single-component condensates, vortices with the same circulation created in the less dense component merge in the presence of dissipation, allowing for the creation of metastable vortices with more than one quantum of circulation.

arXiv:cond-mat/0111108•Physical Review A•Jul 30, 2002•10 citations

Topological Structure of Vortices in Multicomponent Bose—Einstein Condensates

Xu Tao

The structure of the vortex in a two-component Bose—Einstein condensate is studied by the method of Dirac δ function. The vortex can be characterized by the Brouwer degree and Hopf index, i.e., β 1 η 1 , β 2 η 2 . The circulation of the vortex can be a fraction, which is different from the usual result for a one-component condensate. The kinetic helicity of vortices is calculated.

Chinese Physics Letters•Sep 1, 2009•0 citations
A new circulation condition which appears as a generalization of Mermin-Ho relation is presented for two-component spin-1/2 Bose-Einstein condensates as a topological constrain of the superfluid velocity due to SU(2) symmetry of the internal states. The possibility of creating fractional vortices in the condensate is discussed. (C) 2001 Elsevier Science B.V. All rights reserved.
The vortex-vortex interaction in two-component Bose-Einstein condensates is shown to present characteristic effects not possible in single-component condensates. In particular, vortices in different components undergo separate, but concentric, orbits for both the same and opposite circulation. In addition, contrary to the well-known behavior in single-component condensates, vortices with the same circulation created in the less dense component merge in the presence of dissipation, allowing for the creation of metastable vortices with more than one quantum of circulation.