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Dynamics and modulation of ring dark solitons in two-dimensional Bose-Einstein condensates with tunable interaction

2008/10/29 by Xing-Hua Hu, Xinghua Hu, Xiao-Fei Zhang +4 · 54 citations
Chemistry · Physics and Astronomy · #Bose–Einstein condensate #Chemistry #Cold Atom Physics and Bose-Einstein Condensates #Feshbach resonance #Mechanics #Nonlinear Photonic Systems #Nonlinear system #Physics #Quantum electrodynamics #Quantum mechanics #Ring (chemistry) #Soliton #Strong Light-Matter Interactions #Transformation (genetics) #Vortex #Vortex ring #cond-mat.other

paper · pdf · doi:10.1103/physreva.79.023619

published in Physical Review A 79(2) (American Physical Society) · 6 pages, 4 figures

arxiv created 2008/10/29 · openalex publication_date 2009/02/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We investigate both analytically and numerically the dynamics and modulation of ring dark solitons in two-dimensional Bose-Einstein condensates with tunable interaction. The analytic solutions for the ring dark soliton are derived by using a transformation method. A shallow ring dark soliton is stable when the ring is slightly distorted, while for large deformation of the ring, vortex pairs appear and demonstrate different dynamical behaviors: the vortex pairs transform into dark lumplike solitons and revert to ring dark solitons periodically. Moreover, our results show that the dynamical evolution of the ring dark soliton can be dramatically affected by the Feshbach resonance, and the lifetime of the ring dark soliton can be greatly extended, which offers a useful method for observing ring dark solitons in future experiments.

Citations