Ground-state properties of one-dimensional ultracold Bose gases in a hard-wall trap
Ground-state properties of one-dimensional ultracold Bose gases in a hard-wall trap
We investigate the ground state of the system of $N$ bosons enclosed in a hard-wall trap interacting via a repulsive or attractive $\ensuremath{\delta}$-function potential. Based on the Bethe ansatz method, the explicit ground state wave function is derived and the corresponding Bethe ansatz equations are solved numerically for the full …