Yang-Yang thermodynamics of one-dimensional Bose gases with anisotropic transversal confinement

By combining the thermodynamic Bethe ansatz and local density approximation, we investigate the Yang-Yang thermodynamics of interacting one-dimensional Bose gases with anisotropic transversal confinement. It is shown that with the increase of anisotropic parameter at low temperature, the Bose atoms are distributed over a wider region, while at high temperature the density distribution is not affected obviously. Both the temperature and transversal confinement can strengthen the local pressure of the Bose gases.