Controllable nonlocal interactions between dark solitons in dipolar condensates
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We study the family of static and moving dark solitons in
quasi-one-dimensional dipolar Bose-Einstein condensates, exploring their
modified form and interactions. The density dip of the soliton acts as a giant
anti-dipole which adds a non-local contribution to the conventional local
soliton-soliton interaction. We map out the stability diagram as a function of
the strength and polarization direction of the atomic dipoles, identifying both
roton and phonon instabilities. Away from these instabilities, the solitons
collide elastically. Varying the polarization direction relative to the
condensate axis enables tuning of this non-local interaction between repulsive
and attractive; the latter case supports unusual dark soliton bound states.
Remarkably, these bound states are themselves shown to behave like solitons,
emerging unscathed from collisions with each other.
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