SciPost Submission Page
Massive superfluid vortices and vortex necklaces on a planar annulus
by Matteo Caldara, Andrea Richaud, Massimo Capone, Pietro Massignan
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Matteo Caldara · Pietro Massignan |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202301_00032v2 (pdf) |
| Date accepted: | 2023-06-15 |
| Date submitted: | 2023-04-11 17:42 |
| Submitted by: | Caldara, Matteo |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
|
| Approaches: | Theoretical, Computational |
Abstract
We study a superfluid in a planar annulus hosting vortices with massive cores. An analytical point-vortex model shows that the massive vortices may perform radial oscillations on top of the usual uniform precession of their massless counterpart. Beyond a critical vortex mass, this oscillatory motion becomes unstable and the vortices are driven towards one of the edges. The analogy with the motion of a charged particle in a static electromagnetic field leads to the development of a plasma orbit theory that provides a description of the trajectories which remains accurate even beyond the regime of small radial oscillations. These results are confirmed by the numerical solution of coupled two-component Gross-Pitaevskii equations. The analysis is then extended to a necklace of vortices symmetrically arranged within the annulus.
Author comments upon resubmission
thank you very much for sending us the reports of the two Referees. We are grateful to the Referees for their careful, positive and constructive reports that helped us improving our manuscript. We have revised the manuscript complying with the requests of both Referees, and we have replaced the arXiv manuscript with the revised one. Our detailed point-by-point response to the Referees has been uploaded.
In view of the already positive reports of both Referees and of the substantial improvements that we have implemented in response to their comments, we are confident that this revised version of our paper can be accepted for publication on SciPost Physics.
Best regards,
The authors
List of changes
A detailed list of changes has been attached as a pdf file (please, see Replies to Referees)
Published as SciPost Phys. 15, 057 (2023)
Reports on this Submission
Report
Following the revisions submitted by the authors, I believe that the manuscript is worthy of publication. In lieu in some of the new text, I only have a couple of minor suggestions.
Requested changes
(1) Page 16: Perhaps add "finite-sized vortex core" to explicitly provide the reason between the discrepancies of the GP and point-vortex models in the sentence: "the agreement with the point-vortex model remains remarkable until the now finite-sized vortex core touches either of the two boundaries."
(2) Remove the word "extensively" from the third paragraph of the conclusions.
Author: Matteo Caldara on 2023-06-15 [id 3732]
(in reply to Report 1 on 2023-05-24)We would like to thank the Referee for her/his positive report. We are glad our manuscript to be considered worth publication. We also thank the Referee for the new suggestions: indeed, we implemented both of them in the new submitted version of our manuscript.
Author: Matteo Caldara on 2023-06-15 [id 3733]
(in reply to Report 2 on 2023-06-08)We would like to thank the Referee for her/his positive report. We are glad to hear that our manuscript has improved and is recommended for publication.