  By using exact quantum Monte-Carlo methods we calculate the ground-state
properties of the liquid phase in one-dimensional Bose mixtures with contact
interactions. We find that the liquid state can be formed if the ratio of
coupling strengths between inter-species attractive and intraspecies repulsive
interactions exceeds a critical value. As a function of this ratio we determine
the density where the energy per particle has a minimum and the one where the
compressibility diverges, thereby identifying the equilibrium density and the
spinodal point in the phase diagram of the homogeneous liquid. Furthermore, in
the stable liquid state, we calculate the chemical potential, the speed of
sound, as well as structural and coherence properties such as the pair
correlation function, the static structure factor and the one-body density
matrix, thus providing a detailed description of the bulk region in self-bound
droplets.
