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Maximal length of trapped one-dimensional Bose-Einstein condensates

arXiv:cond-mat/0409201 · doi:10.1007/s10909-005-2293-0

Abstract

I discuss a Bogoliubov inequality for obtaining a rigorous bound on the maximal axial extension of inhomogeneous one-dimensional Bose-Einstein condensates. An explicit upper limit for the aspect ratio of a strongly elongated, harmonically trapped Thomas-Fermi condensate is derived.

6 pages; contributed paper for Quantum Fluids and Solids, Trento 2004, to appear in JLTP