Maximal length of trapped one-dimensional Bose-Einstein condensates

2004/09/08 by Uwe R. Fischer
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Random Matrices and Applications #Spectral Theory in Mathematical Physics #cond-mat.other

paper · pdf · doi:10.1007/s10909-005-2293-0

published as J. Low Temp. Phys. 138, 723-728 (2005) · 6 pages; contributed paper for Quantum Fluids and Solids, Trento 2004, to appear in JLTP

arxiv created 2004/09/08 · openalex publication_date 2005/02/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Existence of Long-Range Order in One and Two Dimensions

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