Robust Vortex Lines, Vortex Rings and Hopfions in Three-Dimensional Bose-Einstein Condensates

Authors

R. N. Bisset, Los Alamos National Laboratory
Wenlong Wang, University of Massachusetts, Amherst
C. Ticknor, Los Alamos National Laboratory
R Carretero-González, San Diego State University
D. J. Frantzeskakis, University of Athens
L. A. Collins, Los Alamos National Laboratory
Panayotis G. Kevrekidis, University of Massachusetts AmherstFollow

Publication Date

2015

Journal or Book Title

Physical Review A

Abstract

Performing a systematic Bogoliubov-de Gennes spectral analysis, we illustrate that stationary vortex lines, vortex rings and more exotic states, such as hopfions, are robust in three-dimensional atomic Bose-Einstein condensates, for large parameter intervals. Importantly, we find that the hopfion can be stabilized in a simple parabolic trap, without the need for trap rotation or inhomogeneous interactions. We supplement our spectral analysis by studying the dynamics of such stationary states; we find them to be robust against significant perturbations of the initial state. In the unstable regimes, we not only identify the unstable mode, such as a quadrupolar or hexapolar mode, but we also observe the corresponding instability dynamics. Furthermore, deep in the Thomas-Fermi regime, we investigate the particle-like behavior of vortex rings and hopfions.

Comments

PDF as published. DOI: 10.1103/PhysRevA.92.063611

Pages

063611-1 - 063611-7

Volume

92

Issue

6

Recommended Citation

Bisset, R. N.; Wang, Wenlong; Ticknor, C.; Carretero-González, R; Frantzeskakis, D. J.; Collins, L. A.; and Kevrekidis, Panayotis G., "Robust Vortex Lines, Vortex Rings and Hopfions in Three-Dimensional Bose-Einstein Condensates" (2015). Physical Review A. 1218.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1218