The two-level atom is described by Pauli sign and environment is described by infinite harmonic particle thermal reservoir. A pair of two-level atoms' reducible density rectangular array is obtained when the Raman interaction of atoms with a thermal radiation field atoms by dipole-dipole interaction is put in a thermal reservoir. The paper has studied the fidelity of two-level atoms which are put in the strongly thermal radiation field. The properties of fidelity are discussed. It is shown that the two two-level atoms initially situated in different coherent superposi...