Energy transformation in creating dark solitons and sound waves

The releasing of a Bose-Einstein condensate from a double well potential into a harmonic trap can induce interference patterns. We choose a soliton-like splitting barrier for the interference experiment. The numerical simulations show that dark solitons and sound waves are created directly when the collective movement of the condensate is weak. In particular, we calculate the energy of each production, and confirm that the energy of the region caused by the splitting barriers transfers into dark solitons and sound waves. Furthermore, based on the setup, we firstly indicate how much energy is transferred into the system and is apportioned into dark solitons.