Application Of Yangian In Quantum Entanglement Symmetry

Since C.N.Yang and R.J.Baxter separately established Quantum Yang-Baxter Equationin 1960s, the investigations on quantum integrable models have been greatly promoted.Especially the theory of Yangian and quantum algebra theory that were established byV.G.Drinfeld offered a powerful mathematic method for the reach about the symmetry of theintegrable quantum models in physics. People have made great progress both in differentkinds of realizations of Yangian and in the studies on quantum integrable models since 1992,and have given new physics understanding and theoretical results. For example, the Yangiansymmetry and RTT integrablility of hydrogen atom had been reported at length. In this paper, we mainly apply the theory of Yangian to the concrete physics model, tryingto realize the transition of the entangled states in the spin 1/2 biparticle system. We firstlystudy that the degree of the maximally entangled states don't change as the evolutionoperators work if the Hamilton of the system is ( ? ) ,furthermore ,we prove that thedegree of any entangled stated as the evolution operators work if the Hamilton is ,which statessome kind of symmetry exists when the evolution operators work. Then we import Yangianoperators and make out the operator P that can shift the maximally entangled states to theentangled states in any degree. Thus, we will know the function of the Yangian factors deeper.