title: Ultradilute Low-Dimensional Liquids.
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.
authors.affiliation: LPTMS, CNRS, Univ. Paris Sud, Université Paris-Saclay, 91405 Orsay, France.
authors.forename: D S
authors.initials: DS
authors.lastname: Petrov
authors.affiliation: Departament de Física, Campus Nord B4-B5, Universitat Politècnica de Catalunya, E-08034 Barcelona, Spain.
authors.forename: G E
authors.initials: GE
authors.lastname: Astrakharchik