Ultradilute Low-Dimensional Liquids
D. S. PetrovLPTMS, CNRS, Univ. Paris Sud, Université Paris-Saclay, 91405 Orsay, FranceG. E. AstrakharchikDepartament de Física, Campus Nord B4-B5, Universitat Politècnica de Catalunya, E-08034 Barcelona, Spain
2016en
ABI
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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Cited by 180 references