Dynamics of trapped one-dimensional bosons for intermediate repulsive interactions

The time-evolution of few number of interacting, harmonically confined one-dimensional bosons is numerically obtained for arbitrary two-body $\delta -$potential interaction strengths. It is demonstrated that the period of the motion in a Newton’s cradle configuration undergoes two crossovers as a function of interactions. Furthermore, through the evaluation of the structure factor, the dependence of Bragg-scattering peaks on the interaction strength ranging from the weak coupling regime to the impenetrable Tonks-Girardeau case is illustrated.