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Bifurcations, stability, and dynamics of multiple matter-wave vortex states

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Bifurcations, stability, and dynamics of multiple matter-wave vortex states
Middelkamp, S. Kevrekidis, P. G. Frantzeskakis, D. J. and Carretero-Gonzalez, R. Schmelcher, P.
scientific_publication_article
Επιστημονική δημοσίευση - Άρθρο Περιοδικού (EL)
Scientific publication - Journal Article (EN)
2010
In the present work, we offer a unifying perspective between the dark soliton stripe and the vortex multipole (dipole, tripole, aligned quadrupole, quintopole, etc.) states that emerge in the context of quasi-two-dimensional Bose-Einstein condensates. In particular, we illustrate that the multivortex states with the vortices aligned along the (former) dark soliton stripe sequentially bifurcate from the latter state in a supercritical pitchfork manner. Each additional bifurcation adds an extra mode to the dark soliton instability and an extra vortex to the configuration; moreover, the bifurcating states inherit the stability properties of the soliton prior to the bifurcation. The critical points of this bifurcation are computed analytically via a few-mode truncation of the system, which clearly showcases the symmetry-breaking nature of the corresponding bifurcation. We complement this small(-er) amplitude, few mode bifurcation picture, with a larger amplitude, particle-based description of the ensuing vortices. The latter enables us to characterize the equilibrium position of the vortices, as well as their intrinsic dynamics and anomalous modes, thus providing a qualitative description of the nonequilibrium multivortex dynamics. (EN)
English
Ερευνητικό υλικό ΕΚΠΑ
https://creativecommons.org/licenses/by-nc/4.0/
University of Athens
Pergamos Digital Library
Journal Article



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