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In some interesting work of James Lidsey, the dynamics ofFriedmann-Lema\^itre-Robertson-Walker (FLRW) cosmology with positive curvatureand a perfect fluid matter source is shown to be modeled in terms of atime-dependent, harmonically trapped Bose-Einstein condensate. In the presentwork, we extend this dynamic correspondence to both FLRW and Bianchi Icosmologies in arbitrary dimension, especially when a cosmological constant ispresent.

journal of mathematical physics

A dynamic correspondence between Bose-Einstein condensates and  Friedmann-Lema\^itre-Robertson-Walker and Bianchi I cosmology with a  cosmological constant