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Deflation-based identification of nonlinear excitations of the three-dimensional Gross-Pitaevskii equation

Abstract:
We present a number of solutions to the three-dimensional Gross–Pitaevskii equation describing atomic Bose-Einstein condensates. This model supports elaborate patterns, including excited states bearing vorticity. The coherent structures exhibit striking topological features, involving combinations of vortex rings and multiple, possibly bent vortex lines. Although unstable, many of them persist for long times in dynamical simulations. These solutions were identified by a state-of-the-art numerical technique called deflation, which is expected to be applicable to many problems from other areas of physics.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/PhysRevA.102.053307

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author


Publisher:
American Physical Society
Journal:
Physical Review A More from this journal
Volume:
102
Issue:
5
Article number:
053307
Publication date:
2020-11-09
Acceptance date:
2020-10-22
DOI:
EISSN:
2469-9934
ISSN:
2469-9926


Language:
English
Keywords:
Pubs id:
1101864
Local pid:
pubs:1101864
Deposit date:
2020-10-23

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