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

Journal of Physics Condensed Matter

Theoretical confirmation of Feynman s hypothesis on the creation of circular vortices in Bose–Einstein condensates: II

A. Senatorski, E. Infeld

Published Aug 28, 2004• 1 citation
Publisher
DOI
10.1088/0953-8984/16/36/024

Related papers

Creation of vortices in a Bose-Einstein condensate by a Raman technique

Eric L. Bolda, Daniel F. Walls

arXiv:cond-mat/9708189•Physics Letters A•Sep 1, 1998•40 citations

Theoretical confirmation of Feynman s hypothesis on the creation of circular vortices in Bose–Einstein condensates

E. Infeld, A. Senatorski

The recent creation of pure Bose–Einstein condensates in alkali metals and also of vortices supported by them has increased interest in these phenomena. In particular, changes observed in the topology of these vortices is a partially unsolved problem. Here we confirm Feynman’s hypothesis on how circular vortices can be created from oppositely polarized pairs of linear vortices. This is done by following the transformation numerically. The circular vortices so obtained satisfy known constraining relations between radii and velocities.

Journal of Physics Condensed Matter•Aug 15, 2003•3 citations

Vortices in Bose-Einstein Condensates: Theory

Nicholas G. Parker, B. Jackson, A. Martin +1 more

arXiv:0704.0146•Springer eBooks•Dec 29, 2007•4 citations

Vortices in Bose-Einstein condensates: A review of the experimental results

R. Srinivasan

Pramana•Jan 1, 2006•16 citations

Theoretical confirmation of Feynman’s hypothesis on the creation of circular vortices in Bose–Einstein condensates: III

E. Infeld, A. Senatorski, Andrzej A. Skorupski

In two preceding papers (Infeld and Senatorski 2003 J. Phys.: Condens. Matter 15 5865, Senatorski and Infeld 2004 J. Phys.: Condens. Matter 16 6589) the authors confirmed Feynman's hypothesis on how circular vortices can be created from oppositely polarized pairs of linear vortices (first paper), and then gave examples of the creation of several different circular vortices from one linear pair (second paper). Here, in part III, we give two classes of examples of how the vortices can interact. The first confirms the intuition that the reconnection processes which join two interacting vortex lines into one, and thus increase the degree of entanglement of the vortex system, practically do not occur. The second shows that new circular vortices can also be created from pairs of oppositely polarized coaxial circular vortices. This seems to contradict the results for such pairs given in Koplik and Levine (1996 Phys. Rev. Lett. 76 4745).

arXiv:1009.1574•Journal of Physics Condensed Matter•Nov 26, 2010•1 citation

Hidden vortices and Feynman rule in Bose-Einstein condensates with density-dependent gauge potential

Ishfaq Ahmad Bhat, Bishwajyoti Dey

In this paper, we numerically investigate the vortex nucleation in a Bose-Einstein condensate (BEC) trapped in a double-well potential and subjected to a density-dependent gauge potential. A rotating Bose-Einstein condensate, when confined in a double-well potential, not only gives rise to visible vortices but also produces hidden vortices. We have empirically developed Feynman's rule for the number of vortices versus angular momentum in Bose-Einstein condensates in the presence of density-dependent gauge potentials. The variation of the average angular momentum with the number of vortices is also sensitive to the nature of the nonlinear rotation due to the density-dependent gauge potentials. The empirical result agrees well with the numerical simulations and the connection is verified by means of curve-fitting analysis. The modified Feynman rule is further confirmed for the BECs confined in harmonic and toroidal traps. In addition, we show the nucleation of vortices in double-well and toroidally confined Bose-Einstein condensates solely through nonlinear rotations (without any trap rotation) arising through the density-dependent gauge potential.

arXiv:2407.17901•Physical review. E•Aug 15, 2024•5 citations
The recent creation of pure Bose–Einstein condensates in alkali metals and also of vortices supported by them has increased interest in these phenomena. In particular, changes observed in the topology of these vortices is a partially unsolved problem. Here we confirm Feynman’s hypothesis on how circular vortices can be created from oppositely polarized pairs of linear vortices. This is done by following the transformation numerically. The circular vortices so obtained satisfy known constraining relations between radii and velocities.
In two preceding papers (Infeld and Senatorski 2003 J. Phys.: Condens. Matter 15 5865, Senatorski and Infeld 2004 J. Phys.: Condens. Matter 16 6589) the authors confirmed Feynman's hypothesis on how circular vortices can be created from oppositely polarized pairs of linear vortices (first paper), and then gave examples of the creation of several different circular vortices from one linear pair (second paper). Here, in part III, we give two classes of examples of how the vortices can interact. The first confirms the intuition that the reconnection processes which join two interacting vortex lines into one, and thus increase the degree of entanglement of the vortex system, practically do not occur. The second shows that new circular vortices can also be created from pairs of oppositely polarized coaxial circular vortices. This seems to contradict the results for such pairs given in Koplik and Levine (1996 Phys. Rev. Lett. 76 4745).
In this paper, we numerically investigate the vortex nucleation in a Bose-Einstein condensate (BEC) trapped in a double-well potential and subjected to a density-dependent gauge potential. A rotating Bose-Einstein condensate, when confined in a double-well potential, not only gives rise to visible vortices but also produces hidden vortices. We have empirically developed Feynman's rule for the number of vortices versus angular momentum in Bose-Einstein condensates in the presence of density-dependent gauge potentials. The variation of the average angular momentum with the number of vortices is also sensitive to the nature of the nonlinear rotation due to the density-dependent gauge potentials. The empirical result agrees well with the numerical simulations and the connection is verified by means of curve-fitting analysis. The modified Feynman rule is further confirmed for the BECs confined in harmonic and toroidal traps. In addition, we show the nucleation of vortices in double-well and toroidally confined Bose-Einstein condensates solely through nonlinear rotations (without any trap rotation) arising through the density-dependent gauge potential.