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Energetically stable singular vortex cores in an atomic spin-1 Bose-Einstein condensate

Energetically stable singular vortex cores in an atomic spin-1 Bose-Einstein condensate
Energetically stable singular vortex cores in an atomic spin-1 Bose-Einstein condensate
We analyze the structure and stability of singular singly quantized vortices in a rotating spin-1 Bose-Einstein condensate. We show that the singular vortex can be energetically stable in both the ferromagnetic and polar phases despite the existence of a lower-energy nonsingular coreless vortex in the ferromagnetic phase. The spin-1 system exhibits energetic hierarchy of length scales resulting from different interaction strengths and we find that the vortex cores deform to a larger size determined by the characteristic length scale of the spin-dependent interaction. We show that in the ferromagnetic phase the resulting stable core structure, despite apparent complexity, can be identified as a single polar core with everywhere nonvanishing axially symmetric density profile. In the polar phase, the energetically favored core deformation leads to a splitting of a singly quantized vortex into a pair of half-quantum vortices that preserves the topology of the vortex outside the extended core region, but breaks the axial symmetry of the core. The resulting half-quantum vortices exhibit nonvanishing ferromagnetic cores.
1050-2947
013613-[13pp]
Lovegrove, Justin
ee869a91-6a89-4000-9d71-93ca8626c6ea
Borgh, Magnus O.
a3c181f8-0535-46cd-bb9a-6e930a81f86e
Ruostekoski, Janne
2beb155e-64b0-4ee9-9cfe-079947a9c9f4
Lovegrove, Justin
ee869a91-6a89-4000-9d71-93ca8626c6ea
Borgh, Magnus O.
a3c181f8-0535-46cd-bb9a-6e930a81f86e
Ruostekoski, Janne
2beb155e-64b0-4ee9-9cfe-079947a9c9f4

Lovegrove, Justin, Borgh, Magnus O. and Ruostekoski, Janne (2012) Energetically stable singular vortex cores in an atomic spin-1 Bose-Einstein condensate. Physical Review A, 86 (1), 013613-[13pp]. (doi:10.1103/PhysRevA.86.013613).

Record type: Article

Abstract

We analyze the structure and stability of singular singly quantized vortices in a rotating spin-1 Bose-Einstein condensate. We show that the singular vortex can be energetically stable in both the ferromagnetic and polar phases despite the existence of a lower-energy nonsingular coreless vortex in the ferromagnetic phase. The spin-1 system exhibits energetic hierarchy of length scales resulting from different interaction strengths and we find that the vortex cores deform to a larger size determined by the characteristic length scale of the spin-dependent interaction. We show that in the ferromagnetic phase the resulting stable core structure, despite apparent complexity, can be identified as a single polar core with everywhere nonvanishing axially symmetric density profile. In the polar phase, the energetically favored core deformation leads to a splitting of a singly quantized vortex into a pair of half-quantum vortices that preserves the topology of the vortex outside the extended core region, but breaks the axial symmetry of the core. The resulting half-quantum vortices exhibit nonvanishing ferromagnetic cores.

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PhysRevA.86.013613 - Version of Record
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PhysRevA.89.039902 - Version of Record
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More information

Submitted date: 27 April 2012
e-pub ahead of print date: 27 April 2012
Published date: 12 July 2012
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 338819
URI: http://eprints.soton.ac.uk/id/eprint/338819
ISSN: 1050-2947
PURE UUID: 21462d37-fa82-4c69-a07d-3c1a31e835b3

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Date deposited: 17 May 2012 12:19
Last modified: 14 Mar 2024 11:05

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Contributors

Author: Justin Lovegrove
Author: Magnus O. Borgh

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