Realization of a supersolid phase in a two-channel model

We construct a two-channel model based on the one-dimensional extended Bose-Hubbard model, by including a second channel of free bosons. We use the mean-field theory to map the system to a reduced single-channel one and solve this system by means of the density matrix renormalization group method. We find the region where the superfluid and density-wave orders coexist which signals a supersolid state. Our theory can be realized experimentally with state-dependent optical lattices.