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arXiv · 1605.07585

Ultradilute low-dimensional liquids

D. S. Petrov·G. E. Astrakharchik
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Abstract

We calculate the energy of one- and two-dimensional weakly interacting Bose-Bose mixtures analytically in the Bogoliubov approximation and by using the diffusion Monte Carlo technique. We show that in the case of attractive inter- and repulsive intraspecies interactions the energy per particle has a minimum at a finite density corresponding to a liquid state. We derive the Gross-Pitaevskii equation to describe droplets of such liquids and solve it analytically in the one-dimensional case.

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D. S. Petrov, G. E. Astrakharchik. 2016-09-05. Ultradilute low-dimensional liquids. https://doi.org/10.1103/physrevlett.117.100401

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