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

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Boullé, N 
Charalampidis, EG 
Farrell, PE 
Kevrekidis, PG 

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.

Description

Keywords

5108 Quantum Physics, 5102 Atomic, Molecular and Optical Physics, 51 Physical Sciences

Journal Title

Physical Review A

Conference Name

Journal ISSN

2469-9926
2469-9934

Volume Title

102

Publisher

American Physical Society (APS)