Deflation-based identification of nonlinear excitations of the three-dimensional Gross-Pitaevskii equation
File(s)
Accepted version
Author(s)
Boullé, N
Charalampidis, EG
Farrell, PE
Kevrekidis, PG
Type
Journal Article
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.
Date Issued
2020-11
Date Acceptance
2020-10-22
Citation
Physical Review A (atomic, molecular, and optical physics and quantum information), 2020, 102 (5)
ISSN
2469-9926
Publisher
American Physical Society
Journal / Book Title
Physical Review A (atomic, molecular, and optical physics and quantum information)
Volume
102
Issue
5
Copyright Statement
©2020 American Physical Society
Identifier
http://dx.doi.org/10.1103/physreva.102.053307
Publication Status
Published
Article Number
053307
Date Publish Online
2020-11-09