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