Abstract

We consider a rotating Bose-Einstein condensate confined in combined harmonic\nand quartic traps, following recent experiments [V. Bretin, S. Stock, Y. Seurin\nand J. Dalibard, cond-mat/0307464]. We investigate numerically the behavior of\nthe wave function which solves the three-dimensional Gross Pitaevskii equation.\nWhen the harmonic part of the potential is dominant, as the angular velocities\n$Omega$ increases, the vortex lattice evolves into a giant vortex. We also\ninvestigate a case not covered by the experiments or the previous numerical\nworks: for strong quartic potentials, the giant vortex is obtained for lower\n$Omega$, before the lattice is formed. We analyze in detail the three\ndimensional structure of vortices.\n

Keywords

VortexQuartic functionPhysicsBose–Einstein condensateHarmonic potentialLattice (music)TourbillonSuperfluidityClassical mechanicsCondensed matter physicsQuantum mechanicsQuantum electrodynamicsMechanicsMathematics

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Publication Info

Year
2004
Type
article
Volume
69
Issue
3
Citations
95
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Amandine Aftalion, Ionut Danaila (2004). Giant vortices in combined harmonic and quartic traps. Physical Review A , 69 (3) . https://doi.org/10.1103/physreva.69.033608

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DOI
10.1103/physreva.69.033608