Phys. Rev. A 77, 013604 (2008) [13 pages]Splitting dynamics of doubly quantized vortices in Bose-Einstein condensatesReceived 7 August 2007; published 4 January 2008 We study the nonlinear dynamics of the splitting of a doubly quantized vortex in a trapped Bose-Einstein condensate. The dynamics is studied in detail by solving the Gross-Pitaevskii equation. The main dynamical features are explained in terms of a nonlinear three-level system, to which we find an analytical solution. This result is compared to linear Bogoliubov analysis and to the full numerical time evolution. It is concluded that the time scale for the splitting is mainly determined by the instability of the linearized system, and nonlinear effects contribute logarithmically. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.77.013604
DOI:
10.1103/PhysRevA.77.013604
PACS:
03.75.Kk, 03.75.Lm
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