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

TL;DR

This paper provides a theoretical confirmation of Feynman's hypothesis on the creation of circular vortices in Bose-Einstein condensates, demonstrating vortex interactions and formation mechanisms through two classes of examples.

Contribution

It introduces new theoretical examples of vortex interactions, including the creation of circular vortices from pairs of circular vortices, expanding understanding of vortex dynamics in BECs.

Findings

Reconnection processes between vortex lines are practically negligible.

Circular vortices can be generated from pairs of oppositely polarized circular vortices.

Results suggest possible contradictions with previous studies on vortex pair interactions.

Abstract

In two preceding papers (Infeld and Senatorski 2003 J. Phys.: Condens. Matter 15 5865, and 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, 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.