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 0.001. The condensate fraction in 2D is also computed and found generally lower than the 3D one at the same x.
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