Quantum Monte Carlo Calculations for a Large Number of Bosons in a Harmonic Trap

1996/10/28 by Werner Krauth · 4 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.77.3695

published as Phys. Rev. Lett. 77, 3695 (1996) · 8 pages, 3 figures, Revtex

openalex publication_date 1996/10/28 · arxiv created 1996/12/19 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this Letter, I present a precise quantum Monte Carlo calculation at finite temperature for a very large number (many thousands) of bosons in a harmonic trap, which may be anisotropic. The calculation applies directly to the recent experiments of Bose-Einstein condensation of atomic vapors in magnetic traps. I show that the critical temperature of the system decreases with the interaction. I also present profiles for the overall density and the one of condensed particles, and obtain excellent agreement with solutions of the Gross-Pitaevskii equation.

Citations

• Bosons in anisotropic traps: Ground state and vortices
• Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor
• Structure of a quantized vortex in boson systems
• Path integrals in the theory of condensed helium

Cited by

• Component separation in harmonically trapped boson-fermion mixtures
• Helium nanodroplets and trapped Bose–Einstein condensates as prototypes of finite quantum fluids
• Kosterlitz-Thouless Transition of the Quasi-Two-Dimensional Trapped Bose Gas
• Critical temperature and condensate fraction of the trapped interacting Bose gas with finite-size effects