Reverse Rotation of Ring-Shaped Perturbation on Homogeneous Bose–Einstein Condensates
Peng Gao1,2, Zeyu Wu3, Zhan-Ying Yang1,2,4*, and Wen-Li Yang1,2,4,5
1School of Physics, Northwest University, Xi'an 710127, China 2Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710127, China 3Department of Physics and Astronomy, University College London, London WC1E 6BT, UK 4Peng Huanwu Center for Fundamental Theory, Xi'an 710127, China 5Institute of modern Physics, Northwest University, Xi'an 710127, China
Abstract：We numerically study the dynamics of rotating ring-shaped perturbation on two-dimensional homogeneous Bose–Einstein condensates, where a new ring-shaped structure with reverse rotation appears. The reversely rotating mode is directly caused by the existence of the plane wave (namely the homogeneous background). By the modified linear stability analysis method, we quantitatively predict the influence of the background's density on perturbation dynamics, including the velocity, amplitude, and frequency of the two rings. We construct an approximative solution to describe the short-lived dynamics of initial perturbation, which agrees well with our numerical results. Also, after the two rings separate, the transfer of atom number between them becomes linear, and the rate of transfer is impacted by the radial momentum of initial perturbation.
Kevrekidis P G, Frantzeskakis D J, and Carretero-González R 2007 Emergent Nonlinear Phenomena in Bose-Einstein Condensates: Theory and Experiment (Berlin: Springer) chap 1 p 4
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2021, Vol. 38 
