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Ground state property of Bose-Einstein gas for arbitrary power low interaction

2002/01/16 by Makoto Hiramoto, Hiramoto, Makoto
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum, superfluid, helium dynamics #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0201265

17 pages, LaTeX, 3 figures

arxiv created 2002/01/16 · openalex publication_date 2002/01/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study Bose-Einstein gas for an arbitrary power low interaction Cαr. This is done by the Hartree Fock Bogoliubov (HFB) approach at T ≤ Tc and the mean field approach at T>Tc. Especially, we investigate the ground state property of Bose gas interacting through the Van der Waals -C6r-6 plus C3r-3 interactions. We show that the ground state under this interaction is stable if the ratio of coupling constants is larger than that of the critical curve. We find that the C3r-3 term plays an important role for the stability of the ground state when the density of atoms becomes sufficiently large at low temperature. Further, using the numerical values of C3 and C6, we confirm that the ground state of alkali atoms are stable.

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