Superfluid flow past an obstacle in annular Bose-Einstein condensates

Syafwan, M.; Kevrekidis, P.; Paris-Mandoki, A.; Lesanovsky, I.; Kruger, P.; Hackermuller, L.; Susanto, H.

Abstract

© 2016 IOP Publishing Ltd. We investigate the flow of a one-dimensional nonlinear Schrödinger model with periodic boundary conditions past an obstacle, motivated by recent experiments with Bose-Einstein condensates in ring traps. Above certain rotation velocities, localized solutions with a nontrivial phase profile appear. In striking difference from the infinite domain, in this case there are many critical velocities. At each critical velocity, the steady flow solutions disappear in a saddle-center bifurcation. These interconnected branches of the bifurcation diagram lead to additions of circulation quanta to the phase of the associated solution. This, in turn, relates to the manifestation of persistent current in numerous recent experimental and theoretical works, the connections to which we touch upon. The complex dynamics of the identified waveforms and the instability of unstable solution branches are demonstrated.

Citation

Syafwan, M., Kevrekidis, P., Paris-Mandoki, A., Lesanovsky, I., Kruger, P., Hackermuller, L., & Susanto, H. (2016). Superfluid flow past an obstacle in annular Bose-Einstein condensates. Journal of Physics B: Atomic, Molecular and Optical Physics, 49(23), 1-8. https://doi.org/10.1088/0953-4075/49/23/235301

• Journal Article Type: Article
• Acceptance Date: Jul 21, 2016
• Online Publication Date: Nov 4, 2016
• Publication Date: Dec 14, 2016
• Deposit Date: Sep 15, 2017
• Publicly Available Date: Jan 24, 2019
• Journal: Journal of Physics B: Atomic, Molecular and Optical Physics
• Print ISSN: 0953-4075
• Electronic ISSN: 1361-6455
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 49
• Issue: 23
• Article Number: 235301
• Pages: 1-8
• DOI: https://doi.org/10.1088/0953-4075/49/23/235301
• Public URL: https://nottingham-repository.worktribe.com/output/1114361
• Publisher URL: https://iopscience.iop.org/article/10.1088/0953-4075/49/23/235301/meta