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arXiv · 1207.1192

Theory of correlations in strongly interacting fluids of two-dimensional dipolar bosons

Saeed H. Abedinpour·Reza Asgari·Marco Polini
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Abstract

Ground-state properties of a two-dimensional fluid of bosons with repulsive dipole-dipole interactions are studied by means of the Euler-Lagrange hypernetted-chain approximation. We present a self-consistent semi-analytical theory of the pair distribution function $g(r)$ and ground-state energy of this system. Our approach is based on the solution of a zero-energy scattering Schr\"{o}dinger equation for the "pair amplitude" $\sqrt{g(r)}$ with an effective potential from Jastrow-Feenberg correlations. We find excellent agreement with quantum Monte Carlo results over a wide range of coupling strength, nearly up to the critical coupling for the liquid-to-crystal quantum phase transition. We also calculate the one-body density matrix and related quantities, such as the momentum distribution function and the condensate fraction.

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Saeed H. Abedinpour, Reza Asgari, Marco Polini. 2012-07-05. Theory of correlations in strongly interacting fluids of two-dimensional dipolar bosons. https://doi.org/10.1103/physreva.86.043601

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