The Symmetry of Current of the Coherent State from the View of O(3) σ-Model

In this paper, we apply the reduced density trajectory, ϕ-mapping topological current theory and Ginzburg-Landau model to study the current of the coherent state. We give the new expression of the current of the coherent state. Based on this expression, the symmetry of the coherence is studied. We find that the current of the coherent state corresponds to the supercurrent of two-condensate system. The partial wave functions of the coherence carry new charges and their interaction is mediated by new U(1) gauge potential.