  We investigate the ground-state properties of the quasi-one-dimensional
dipolar gases using continuous matrix product states techniques. Making use of
the first- and second-order correlation functions, we find that the system
supports the superfluid, super-Tonks-Girardeau, and quasicrystal phases
according to the Luttinger liquid theory. We also map out the phase diagram on
the parameter plane consisting the contact and dipolar interaction strengths.
Furthermore, we compute the Luttinger parameter, the structure factor, and the
momentum distribution of the system. Finally, we show that the predicted
dipolar effect can potentially be observed in quasi-one-dimensional gases of
polar molecules.
