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In this paper the macroscopic quantum states of Bose-Einstein condensates inoptical lattices is studied by solving the periodic Gross-Pitaevskii equationin one-dimensional geometry. It is shown that an exact solution seen to be atravelling wave of excited macroscopic quantum states resultes in a persistentatom current which can be controlled by adjusting of the barrier height of theoptical periodic potential. A critical condition to generate the travellingwave is demonstrated and we moreover propose a practical experiment to realizethe persistent atom current in a toroidal atom waveguide.Comment: 9 pages, 1 figure

Controllable Persistent Atom Current of Bose–Einstein Condensates in an Optical Lattice Ring