2002/12/20 by G. E. Astrakharchik, S. Giorgini · 3 citations
Chemistry · Mathematics · Physics and Astronomy · #Bose gas #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Density matrix #Distribution (mathematics) #Distribution function #Ground state #Hamiltonian (control theory) #Homogeneous #Mathematical analysis #Mathematics #Momentum (technical analysis) #Monte Carlo method #Physics #Quantum #Quantum Monte Carlo #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Spectroscopy and Laser Applications #Statistical physics #Statistics #cond-mat
paper · pdf · doi:10.1103/physreva.68.031602
4 pages, 5 figures
arxiv created 2002/12/20 · openalex publication_date 2003/09/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The ground-state correlation properties of a one-dimensional Bose system described by the Lieb-Liniger Hamiltonian are investigated by using exact quantum Monte Carlo techniques. The pair distribution function, static structure factor, one-body density matrix, and momentum distribution of a homogeneous system are calculated for different values of the gas parameter ranging from the Tonks-Girardeau to the mean-field regime. Results for the momentum distribution of a harmonically trapped gas in configurations relevant to experiments are also presented.