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Bulletin of the American Physical Society

Dilute Bose gases with large scattering length using Bijl-Jastrow wavefunctions

Andrew G. Sykes, John Corson, Michelle Wynne Sze, John L. Bohn

Published Jun 4, 2014• 0 citations
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The energy and structure of dilute gases of hard spheres in three dimensions is discussed, together with some aspects of the corresponding 2D systems. A variational approach in the framework of the Hypernetted Chain Equations (HNC) is used starting from a Jastrow wavefunction that is optimized to produce the best two–body correlation factor with the appropriate long range. Relevant quantities describing static properties of the system are studied as a function of the gas parameter x = ρa d where ρ, a and d are the density, s–wave scattering length of the potential and dimensionality of the space, respectively. The occurrence of a maximum in the radial distribution function and in the momentum distribution is a natural effect of the correlations when x increases. Some aspects of the asymptotic behavior of the functions characterizing the structure of the systems are also investigated. PACS numbers: 03.75.Hh, 05.30.Jp, 67.40.Db. 1.
In this paper, we explore the nature of three-dimensional Bose gases at large positive scattering lengths via resummation of dominating processes involving a minimum number of virtual atoms. We focus on the energetics of the nearly fermionized Bose gases beyond the usual dilute limit. We also find that an onset instability sets in at a critical scattering length, beyond which the near-resonance Bose gases become strongly coupled to molecules and lose the metastability. Near the point of instability, the chemical potential reaches a maximum, and the effect of the three-body forces can be estimated to be around a few percent.