6533b82afe1ef96bd128b8c5

RESEARCH PRODUCT

Three-dimensional splitting dynamics of giant vortices in Bose-Einstein condensates

Markus I. KiviojaPekko KuopanporttiTuomo RossiMikko MöttönenJukka Räbinä

subject

YEE-LIKE SCHEMESDiscretizationGROSS-PITAEVSKII EQUATIONEFFICIENTFOS: Physical sciencesHarmonic (mathematics)GASES114 Physical sciences01 natural sciences010305 fluids & plasmaslaw.inventionsymbols.namesakelaw0103 physical sciencesSUPERFLOW010306 general physicsNUMERICAL-SOLUTIONVORTEXta113PhysicsCondensed Matter::Quantum GasesSTABILITYta114Condensed Matter::OtherNumerical analysisTime evolutionMONOPOLESBose-Einstein condensatesVortexMAXWELLS EQUATIONSGross–Pitaevskii equationClassical mechanicsMaxwell's equationsQuantum Gases (cond-mat.quant-gas)symbolsCondensed Matter - Quantum Gasesvortices in superfluidsBose–Einstein condensate

description

We study the splitting dynamics of giant vortices in dilute Bose-Einstein condensates by numerically integrating the three-dimensional Gross-Pitaevskii equation in time. By taking advantage of tetrahedral tiling in the spatial discretization, we decrease the error and increase the reliability of the numerical method. An extensive survey of vortex splitting symmetries is presented for different aspect ratios of the harmonic trapping potential. The symmetries of the splitting patterns observed in the simulated dynamics are found to be in good agreement with predictions obtained by solving the dominant dynamical instabilities from the corresponding Bogoliubov equations. Furthermore, we observe intertwining of the split vortices in prolate condensates and a split-and-revival phenomenon in a spherical condensate.

yearjournalcountryeditionlanguage
2018-08-22
http://urn.fi/URN:NBN:fi:jyu-201808233924