Evolution and Collision of Bose-Condensed Gases in an Infinitely Deep Square Well

The evolution and collision of Bose-condensed gases in one-dimensional optical lattices are investigated in the presence of an infinitely deep square well created by two far-off resonant laser beams. The two far-off resonant laser beams are superimposed on the combined potential consisting of a magnetic trap and one-dimensional optical lattices. After the combined potential is switched off, the analytical result of the evolution of the density distribution of the Bose-condensed gas is given by using the propagator method. The collisions between the condensate and the infinitely deep square well are shown in the present work.