Supersolid phases in the one dimensional extended soft core Bosonic Hubbard model

We present results of Quantum Monte Carlo simulations for the soft core extended bosonic Hubbard model in one dimension. By studying the superfluid density, the compressibility and the structure factor, we show that, contrary to previous claims, supersolid phases are present, similar to those recently shown to exist in two dimensions. We find the dynamic critical exponent z=1 for the insulator-superfluid transition and z=2 for the insulator-supersolid transition. The mechanism behind this difference is discussed. The simultaneous presence of two types of quasi long range order results in two soliton-like dips in the excitation spectrum.