Two-step condensation of interacting bosons in three-dimensional isotropic harmonic traps. (7th November 2019)

• Record Type: Journal Article
• Authors: Cheng, Ze
• Is Part Of: Journal of statistical mechanics. (2019:Nov.)
• Publication Date: 2019-11-07
• Subjects: 3 -- 1; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/ab4985
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: The Hartree–Fock–Popov theory of interacting Bose particles in a uniform space is generalized to the interacting boson system in three-dimensional isotropic harmonic traps. At finite temperature T, we find that the Bose condensation of nonideal bosons in three-dimensional isotropic harmonic traps is the two-step condensation. In other words, for a fixed particle number there are two transition temperatures. The first transition temperature is the standard critical temperature . The second transition temperature is the critical temperature, which is smaller than and is determined by the minimum of the curve of condensate fraction versus temperature. The boson system undergoes a first-order phase transition from the normal state to the Bose condensed state.