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SUMMARY:Numerical Study of Ultracold Quantum Gases: Formation of Faraday P
 atterns\, Geometric Resonances\, and Fragmentation
DTSTART;VALUE=DATE-TIME:20121018T074500Z
DTEND;VALUE=DATE-TIME:20121018T083000Z
DTSTAMP;VALUE=DATE-TIME:20261011T065545Z
UID:indico-contribution-199@indico.ipb.ac.rs
DESCRIPTION:Speakers: Antun Balaz (Institute of Physics Belgrade)\nIn this
  talk we will present our recent results of the study of ultracold quantum
  gases\, obtained using the NUQG high-performance computing application de
 veloped in the framework of HP-SEE project. First\, by extensive numerical
  simulations of the underlying Gross-Pitaevskii equation [1]\, we will sho
 w how parametric excitation of Bose-Einstein condensed systems can lead to
  formation of Faraday patterns [2]. For two-component systems we will show
  that the excited Faraday waves far from resonances are of similar periods
 \, emerge simultaneously\, and do not impact the dynamics of the bulk of t
 he condensate. We will also show that for a modulation frequency close to 
 twice that of the radial trapping\, the emergent surface waves fade out in
  favor of a forceful collective mode that turns the two condensate compone
 nts miscible. Second\, we will investigate effects of the geometry of the 
 trap to the behavior of Bose-Einstein condensates [3\,4]. By changing the 
 anisotropy of the confining potential\, we numerically observe strong nonl
 inear effects: shifts in the frequencies and mode coupling of collective m
 odes [5]\, as well as geometric resonances. Finally\, motivated by recent 
 experimental results on the dynamics of a cigar-shaped Bose-Einstein conde
 nsate subject to periodic modulation of the scattering length\, we investi
 gate the dynamics of the condensate and show that for resonant drives of l
 arge amplitude the condensate reaches a fragmented state. The fragmented s
 tate is a mixture of a quadrupole collective oscillation mode on top of wh
 ich a longitudinal resonant density wave is grafted.\n\n[1] D. Vudragovic
 ́\, I. Vidanović\, A. Balaž\, P. Muruganandam\, and S. K. Adhikari\, 
 Comp. Phys. Commun. 183\, 2021 (2012).\n[2] A. Balaž and A. I. Nicolin\,
  Phys. Rev. A 85\, 023613 (2012).\n[3] I. Vidanović\, H. Al-Jibbouri\, A
 . Balaž\, and A. Pelster\, Phys. Scr. T149\, 014003 (2012).\n[4] H. Al-J
 ibbouri\, I. Vidanović\, A. Balaž\, and A. Pelster\, arXiv:1208.0991 (
 2012).\n[5] I. Vidanović\, A. Balaž\, H. Al-Jibbouri\, and A. Pelster\
 , Phys. Rev. A 84\, 013618 (2011).\n\nhttps://events.saifa.rs/event/291/co
 ntributions/199/
LOCATION:National Library of Serbia
URL:https://events.saifa.rs/event/291/contributions/199/
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