Speaker
Description
The ground-state properties of two-component bosonic mixtures in a one-dimensional optical
lattice are studied both from few- and many-body perspectives. We rely directly on a microscopic Hamiltonian with attractive inter-component and repulsive intra-component interactions to
demonstrate the formation of a quantum liquid. We reveal that its formation and stability can be
interpreted in terms of finite-range interactions between dimers. We derive an effective model of
composite bosons (dimers) which correctly captures both the few- and many-body properties and
validate it against exact results obtained by DMRG method for the full Hamiltonian. The threshold
for the formation of the liquid coincides with the appearance of a bound state in the dimer-dimer
problem and possesses a universality in terms of the two-body parameters of the dimer-dimer interaction, namely scattering length and effective range. For sufficiently strong effective dimer-dimer
repulsion we observe fermionization of the dimers which form an effective Tonks-Girardeau state.
Finally, we identify conditions for the formation of a solitonic solution.
