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

Pijush K. Ghosh
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Abstract

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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Pijush K. Ghosh. 2002-02-11. Exact results on the dynamics of multi-component Bose-Einstein condensate. https://doi.org/10.1103/physreva.65.053601

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