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Stability and internal structure of vortices in spin-1 Bose-Einstein condensates with conserved magnetization

Stability and internal structure of vortices in spin-1 Bose-Einstein condensates with conserved magnetization
Stability and internal structure of vortices in spin-1 Bose-Einstein condensates with conserved magnetization
We demonstrate how conservation of longitudinal magnetization can have pronounced effects on both stability and structure of vortices in the atomic spin-1 Bose-Einstein condensate by providing a systematic characterization of nonsingular and singular vortex states. Constructing spinor wave functions for vortex states that continuously connect ferromagnetic and polar phases, we systematically derive analytic models for nonrotating cores of different singular vortices and for composite defect states with distinct small- and large-distance topology. We explain how the conservation law provides a stabilizing mechanism when the coreless vortex imprinted on the condensate relaxes in the polar regime of interatomic interactions. The resulting structure forms a composite defect: The inner ferromagnetic coreless vortex deforms toward an outer singly quantized polar vortex. We also numerically show how other even more complex hierarchies of vortex-core topologies may be stabilized. Moreover, we analyze the structure of the coreless vortex also in a ferromagnetic condensate and show how reducing magnetization leads to a displacement of the vortex from the trap center and eventually to the deformation and splitting of its core where a singular vortex becomes a lower-energy state. For the case of singular vortices, we find that the stability and the core structure are notably less influenced by the conservation of magnetization.
1050-2947
1-19
Lovegrove, Justin
f3c22b05-1ac0-40da-bdc5-36ad8604b237
Borgh, Magnus
a3c181f8-0535-46cd-bb9a-6e930a81f86e
Ruostekoski, Janne
2beb155e-64b0-4ee9-9cfe-079947a9c9f4
Lovegrove, Justin
f3c22b05-1ac0-40da-bdc5-36ad8604b237
Borgh, Magnus
a3c181f8-0535-46cd-bb9a-6e930a81f86e
Ruostekoski, Janne
2beb155e-64b0-4ee9-9cfe-079947a9c9f4

Lovegrove, Justin, Borgh, Magnus and Ruostekoski, Janne (2016) Stability and internal structure of vortices in spin-1 Bose-Einstein condensates with conserved magnetization. Physical Review A, 93 (33633), 1-19. (doi:10.1103/PhysRevA.93.033633).

Record type: Article

Abstract

We demonstrate how conservation of longitudinal magnetization can have pronounced effects on both stability and structure of vortices in the atomic spin-1 Bose-Einstein condensate by providing a systematic characterization of nonsingular and singular vortex states. Constructing spinor wave functions for vortex states that continuously connect ferromagnetic and polar phases, we systematically derive analytic models for nonrotating cores of different singular vortices and for composite defect states with distinct small- and large-distance topology. We explain how the conservation law provides a stabilizing mechanism when the coreless vortex imprinted on the condensate relaxes in the polar regime of interatomic interactions. The resulting structure forms a composite defect: The inner ferromagnetic coreless vortex deforms toward an outer singly quantized polar vortex. We also numerically show how other even more complex hierarchies of vortex-core topologies may be stabilized. Moreover, we analyze the structure of the coreless vortex also in a ferromagnetic condensate and show how reducing magnetization leads to a displacement of the vortex from the trap center and eventually to the deformation and splitting of its core where a singular vortex becomes a lower-energy state. For the case of singular vortices, we find that the stability and the core structure are notably less influenced by the conservation of magnetization.

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Submitted date: 21 December 2015
Accepted/In Press date: 21 December 2015
e-pub ahead of print date: 22 February 2016
Published date: 18 March 2016
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 390186
URI: http://eprints.soton.ac.uk/id/eprint/390186
ISSN: 1050-2947
PURE UUID: 3edd1dca-8087-494c-b42a-77e504e12cbd

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Date deposited: 21 Mar 2016 16:55
Last modified: 21 Nov 2021 00:28

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Contributors

Author: Justin Lovegrove
Author: Magnus Borgh

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