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arxiv 1906.08664 v2 pith:YM2WTLOX submitted 2019-06-20 cond-mat.quant-gas quant-ph

Vortex Lattice Formation in Dipolar Bose-Einstein Condensates via Rotation of the Polarization

classification cond-mat.quant-gas quant-ph
keywords dipolarbose-einsteinsolutionsstationaryco-rotatingcondensatesdipoledynamical
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The behaviour of a harmonically trapped dipolar Bose-Einstein condensate with its dipole moments rotating at angular frequencies lower than the transverse harmonic trapping frequency is explored in the co-rotating frame. We obtain semi-analytical solutions for the stationary states in the Thomas-Fermi limit of the corresponding dipolar Gross-Pitaevskii equation and utilise linear stability analysis to elucidate a phase diagram for the dynamical stability of these stationary solutions with respect to collective modes. These results are verified via direct numerical simulations of the dipolar Gross-Pitaevskii equation, which demonstrate that dynamical instabilities of the co-rotating stationary solutions lead to the seeding of vortices that eventually relax into a triangular lattice configuration. Our results illustrate that rotation of the dipole polarization represents a new route to vortex formation in dipolar Bose-Einstein condensates.

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