Massive superfluid vortices and vortex necklaces on a planar annulus

Caldara, Matteo; Richaud, Andrea; Capone, Massimo; Massignan, Pietro

doi:10.21468/SciPostPhys.15.2.057

SciPost Physics

Massive superfluid vortices and vortex necklaces on a planar annulus

Matteo Caldara, Andrea Richaud, Massimo Capone, Pietro Massignan

SciPost Phys. 15, 057 (2023) · published 9 August 2023

doi: 10.21468/SciPostPhys.15.2.057
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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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.2.057
TI  - Massive superfluid vortices and vortex necklaces on a planar annulus
PY  - 2023/08/09
UR  - https://scipost.org/SciPostPhys.15.2.057
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 2
SP  - 057
A1  - Caldara, Matteo
AU  - Richaud, Andrea
AU  - Capone, Massimo
AU  - Massignan, Pietro
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.15.2.057,
	title={{Massive superfluid vortices and vortex necklaces on a planar annulus}},
	author={Matteo Caldara and Andrea Richaud and Massimo Capone and Pietro Massignan},
	journal={SciPost Phys.},
	volume={15},
	pages={057},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.2.057},
	url={https://scipost.org/10.21468/SciPostPhys.15.2.057},
}

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Funders for the research work leading to this publication

Agencia Estatal de Investigación
Generalitat de Catalunya / Government of Catalonia
HORIZON EUROPE Marie Sklodowska-Curie Actions
Ministero dell'Università e della Ricerca
Ministero dell’Istruzione, dell’Università e della Ricerca (MIUR) (through Organization: Ministero dell'Istruzione, dell'Università e della Ricerca / Ministry of Education, Universities and Research [MIUR])