In the transverse and inhomogeneous magnetic field, We learn the level crossingsof the state and study the thermal fidelity of thefour-dimensional XYZmodelwithD-Minteraction.The effects of the anisotropic factor of a magnetic field becomes clear if weuse the contour figures,which is about energy level crossing in the isotropysubspaceand anisotropy subspace. The quantum fidelity between the state of thesystem at temperature T and the ground state can be calculated, and the strong effectsof a anisotropic factor will be shown one more time.moreover,We can also use thetransition of Yangian generators to discuss the evolution of a thermal fidelity after thetransition, in the tensor product space. The Yangian can be used as a switch to turn onor turn off the fidelity, this possible application of Yangian algebra is proposed. Inthe end, we promote these to the six-dimensional XYZ model with D-M interaction. |