Ground-State Density Profiles of One-Dimensional Bose Gases with Anisotropic Transversal Confinement

We investigate the ground-state density distributions of interacting one-dimensional Bose gases with anisotropic transversal confinement. Combining the exact ground state energy density of homogeneous Bose gases with local density approximation, we determine the density distribution in each interacting regime for different anisotropic parameters. It is shown that the transversal anisotropic parameter changes the density distribution obviously, and the observed density profiles on each orientation exhibit a difference of a factor.