Syafwan, M and Kevrekidis, P and Paris-Mandoki, A and Lesanovsky, I and Krüger, P and Hackermüller, L and Susanto, H (2016) 'Superfluid flow past an obstacle in annular Bose–Einstein condensates.' Journal of Physics B: Atomic, Molecular and Optical Physics, 49 (23). creators-Susanto=3AHadi=3A=3A. ISSN 0953-4075

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Abstract

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.

Item Type:	Article
Additional Information:	Resubmitted (2016)
Uncontrolled Keywords:	Bose?Einstein condensates; dark solitons; saddle-center bifurcation; critical velocity
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Divisions:	Faculty of Science and Health Faculty of Science and Health > Mathematical Sciences, Department of
SWORD Depositor:	Elements
Depositing User:	Elements
Date Deposited:	06 Dec 2016 12:20
Last Modified:	06 Jan 2022 14:42
URI:	http://repository.essex.ac.uk/id/eprint/18364

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