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

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand

Vol. 89, Iss. 28 — 31 December 2002

Reuse & Permissions

1923: Compton shows light’s particle nature
View timeline|#PhysRev125
Access Options
Information on SCOAP3 and Physical Review journals
January 3, 2018

High Energy Physics (HEP) papers published after January 1, 2018 in Physical Review Letters, Physical Review C, and Physical Review D are published open access, paid for centrally by SCOAP3. Library subscriptions will be modified accordingly. This arrangement will initially last for two years, up to the end of 2019.

Authorization Required




Sign up to receive regular email alerts from Physical Review Letters

Log In



Article Lookup

Paste a citation or DOI

Enter a citation