Critical properties of a trapped interacting Bose gas

2008/12/07 by A. Bezett, P. B. Blakie
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreva.79.033611

published as Phys. Rev. A 79, 033611 (2009) · 10 pages, 9 figures

arxiv created 2008/12/07 · openalex publication_date 2009/03/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

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.

Citations

• Quantum coherence of hard-core bosons: Extended, glassy, and Mott phases
• Theory of correlations between ultracold bosons released from an optical lattice
• Dynamics of thermal Bose fields in the classical limit
• Two-point correlations of a trapped interacting Bose gas at finite temperature
• Numerical method for evolving the projected Gross-Pitaevskii equation
• Kosterlitz-Thouless Transition of the Quasi-Two-Dimensional Trapped Bose Gas
• Comparison of the Hanbury Brown–Twiss effect for bosons and fermions
• Probing many-body states of ultracold atoms via noise correlations
• Spatial quantum noise interferometry in expanding ultracold atom clouds