Ground state properties of a dilute homogeneous Bose gas of hard disks in two dimensions

Abstract

The energy and structure of a dilute hard-disks Bose gas are studied in the framework of a variational many-body approach based on a Jastrow correlated ground state wave function. The asymptotic behaviors of the radial distribution function and the one-body density matrix are analyzed after solving the Euler equation obtained by a free minimization of the hypernetted chain energy functional. Our results show important deviations from those of the available low density expansions, already at gas parameter values $x\sim 0.001$. The condensate fraction in 2D is also computed and found generally lower than the 3D one at the same $x$.

Submitted to PRA. 7 pages and 8 figures

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Cited by in corpus (7)

• Effects of strong correlations for 2D Bose-Einstein condensed dipolar excitons
• Microscopic description of anisotropic low-density dipolar Bose gases in two dimensions
• Low-dimensional weakly interacting Bose gases: non-universal equations of state
• Weakly interacting two-dimensional system of dipoles: limitations of mean-field theory
• 2D dilute Bose mixture at low temperatures
• Finite-temperature properties of quasi-2D Bose-Einstein condensates
• Ground-state properties of a dilute two-dimensional Bose gas