Temperature-dependent study of Bose gases : Crossover from three- to one-dimensional behavior

Using the finite-temperature path integral Monte Carlo method, we investigate the crossover of Bose gases from three- to one-dimensional behavior by incresing the trap anisotropy. The interaction between particles is modeled by hardcore potential with $s$-wave scattering length $a_{sc}$. Specifically, we monitor the energetics, the superfluid fraction, and structural properties as a function of temperature $T$, scattering length $a_{sc}$, and the trap anisotropy parameter.