Abstract: We study the (quasi-)supersolid phase of bosonic mixtures in one dimension, defined as the coexistence of quasi-superfluidity and quasi-charge density wave order, that appears for weakly repulsive interactions of near-hardcore bosons. Using Luttinger liquid theory and the time-evolving block decimation method we determine the parameter regime in which this phase can be created under realistic conditions, that is, for a finite system in the presence of a trap. We also discuss how this phase can be probed by a time-of-flight measurement and by measuring the structure factor. |