Vortices with massive cores in a binary mixture of Bose-Einstein condensates

Abstract

We thoroughly analyze a notable class of states peculiar to a bosonic repulsive binary mixture loaded in a rotating box-like circular trap, i.e. states where vortices in one species host the atoms of the other species, which thus play the role of massive cores. Within a fully-analytical framework, we calculate the equilibrium distance distinguishing the motion of precession of two corotating massive vortices, the angular momentum of each component, the vortices healing length and the characteristic size of the cores. We then compare these previsions with the measures extracted from the numerical solutions of the associated coupled Gross-Pitaevskii equations. Interestingly, making use of a suitable change of reference frame, we show that vortices drag the massive cores which they host thus conveying them their same motion of precession, but that there is no evidence of quantum viscous friction between the two fluids, since the cores keep their orientation constant while orbiting. arXiv:1908.06668v2 [cond-mat.quant-gas]

Dynamics of massive point vortices in a binary mixture of Bose-Einstein condensates

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Instabilities of vortex-ring-bright soliton in trapped binary 3D Bose-Einstein condensates

“…Another important dynamical effect not covered by the Lagrangian ( 9) is the transverse inertia of the vortex core. For two-dimensional flows, this effect has been considered in recent works [45,46]. The three-dimensional case studied here is more complicated.…”

“…Earlier work of different subsets of the present au-thors [36][37][38][39] has explored the instabilities of chiefly onecomponent, three-dimensional structures, such as vortex lines and vortex rings, as well as multi-line/ring variants thereof. The last few years have led to a deeper and intensified consideration of vortical patterns bearing a second component that fills the relevant vortex core [40][41][42], as well as their dynamics and instabilities [43,44], and interactions with each other [45,46] and with defects [47]. Most of these above studies have been centered around the somewhat less computationally intensive, yet still quite interesting 2d realm.…”

Phase diagram, stability and magnetic properties of nonlinear excitations in spinor Bose–Einstein condensates

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