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

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

2004-10-27

arxiv.org/abs/cond-mat/0410690v1

Physics

Condensed Matter

Statistical Mechanics

Submitted to PRA. 7 pages and 8 figures

Scientific paper

10.1103/PhysRevA.71.033615

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 $x$.

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