Exact results on the dynamics of multi-component Bose-Einstein condensate

Details Exact results on the dynamics of multi-component Bose-Einstein condensate Exact results on the dynamics of multi-component Bose-Einstein condensate

2001-11-28

arxiv.org/abs/cond-mat/0111523v2

Phys.Rev.A65:053601,2002

Physics

Condensed Matter

Two-column 6 pages, RevTeX, no figures(v1); Added an important reference, version to appear in Physical Review A (v2)

Scientific paper

10.1103/PhysRevA.65.053601

We study the time-evolution of the two dimensional multi-component Bose-Einstein condensate in an external harmonic trap with arbitrary time-dependent frequency. We show analytically that the time-evolution of the total mean-square radius of the wave-packet is determined in terms of the same solvable equation as in the case of a single-component condensate. The dynamics of the total mean-square radius is also the same for the rotating as well as the non-rotating multi-component condensate. We determine the criteria for the collapse of the condensate at a finite time. Generalizing our previous work on a single-component condensate, we show explosion-implosion duality in the multi-component condensate.

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