2002/04/30 by Uwe R. Fischer
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #cond-mat #quant-ph
paper · pdf · doi:10.1103/physrevlett.89.280402
published as Phys. Rev. Lett. 89, 280402 (2002) · 4 pages, 1 figure, RevTex4. Title changed at the request of editors; to appear in Phys. Rev. Letters
arxiv created 2002/11/15 · openalex publication_date 2002/12/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We derive an inequality governing "long-range" order for a localized Bose-condensed state, relating the condensate fraction at a given temperature with effective curvature radius of the condensate and total particle number. For the specific example of a one-dimensional, harmonically trapped dilute Bose condensate, it is shown that the inequality gives an explicit upper bound for the Thomas-Fermi condensate size which may be tested in current experiments.