Bose-Einstein Condensation in Exotic Trapping Potentials

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We discuss thermal and dynamical properties of Bose condensates confined by an external potential. First we analyze the Bose-Einstein transition temperature for an ideal Bose gas in a generic power-law potential and d-dimensional space. Then we investigate the effect of the shape of the trapping potential on the properties of a weakly-interacting Bose condensate. We show that using exotic trapping potentials the condensate can exhibit interesting coherent quantum phenomena, like superfluidity and tunneling. In particular, we consider toroidal and double-well potentials. The theoretical results are compared with recent experiments.
25 pages, 2 figures, 3 tables. Invited review article, to be published in the book 'Recent Research Developments in Physics', Ed. M. Kawasaki, A. Ashgriz, R. Anthony (Transworld Research Network, India, 2001)

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