Existence of Long-Range Order for Trapped Interacting Bosons

Uwe R. Fischer
Phys. Rev. Lett. 89, 280402 – Published 31 December 2002


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.

  • Figure
  • Received 20 April 2002


©2002 American Physical Society

Authors & Affiliations

Uwe R. Fischer

  • Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080

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Vol. 89, Iss. 28 — 31 December 2002

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