2003/06/30 by N. M. Bogoliubov, R. K. Bullough, R. Bullough +2 · 22 citations
Mathematics · Physics and Astronomy · #Bose gas #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Correlation function (quantum field theory) #Exponent #Limit (mathematics) #Mathematical analysis #Mathematics #Particle (ecology) #Particle number #Physics #Plasma #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Scaling #Statistical physics #Strong Light-Matter Interactions #Zero temperature #cond-mat.stat-mech #hep-th #nlin.SI
paper · pdf · doi:10.1103/physreva.69.023619
published in Physical Review A 69(2) (American Physical Society) · 18 pages, Latex, Revtex4
arxiv created 2003/06/30 · openalex publication_date 2004/02/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We calculate the dynamic single-particle and many-particle correlation functions at nonzero temperature in one-dimensional trapped repulsive Bose gases. These correlation functions decay towards zero for increasing distance, and this decay is governed by a scaling exponent that has a universal expression in terms of observed quantities. This expression is valid in the weak-interaction Gross-Pitaevskii as well as in the strong-interaction Girardeau-Tonks limit, but the observed quantities involved depend on the interaction strength. The confining trap introduces a weak center-of-mass dependence in the scaling exponent. Based on previous exact results for a related untrapped Bose system and the results reported here, we also suggest the proper asymptotic form for the density-density correlation function in the trapped Bose gas as considered here.