Critical properties of a trapped interacting Bose gas

A. Bezett and P. B. Blakie
Phys. Rev. A 79, 033611 – Published 12 March 2009

Abstract

We develop a practical theoretical formalism for studying the critical properties of a trapped Bose-Einstein condensate using the projected Gross-Pitaevskii equation. We show that this approach allows us to investigate the behavior of the correlation length, condensate mode, and its number fluctuations about the critical point. Motivated by recent experiments [Donner et al., Science 315, 1556 (2007)], we calculate the critical exponent for the correlation length of the trapped system. We observe finite-size effects in our results when the correlation length becomes comparable to the Ginzburg length. We extend the Binder cumulant to the trapped system and discuss an experimental method for measuring number fluctuations.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
2 More
  • Received 7 December 2008

DOI:https://doi.org/10.1103/PhysRevA.79.033611

©2009 American Physical Society

Authors & Affiliations

A. Bezett and P. B. Blakie

  • Department of Physics, Jack Dodd Centre for Quantum Technology, University of Otago, P.O. Box 56, Dunedin, 9016 New Zealand

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 79, Iss. 3 — March 2009

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×