Atom coherence propagation in a magnetic atomic waveguide

The quantum motion of atoms in a magnetic waveguide is discussed on the bas is of our magnetic atom guidance model. The coherence evolution of atoms in itially in the Bose-Einstein condensate (BEC) state during propagation alon g the waveguide is investigated in detail and the first-order and second-or der atomic correlation functions are obtained. It is shown that if the freq uency omega (0) of the BEC trap is equal to the frequency omega of the pote ntial in the magnetic waveguide, the atoms will remain in the initial coher ent state. If omega (0) and omega are mismatched, the initial coherent prop erties will be weakened.