[3] [3] Jaynes E T and Cummings F W.Comparison of quantum and semiclassical radiation theories with application to the beam maser[J].Proc.IEEE,1963,51(1):89-109.

[4] [4] Phoenix S J D and Knight P L.Fluctuations and entropy in models of quantum optical resonance[J].Ann.Phys.(NY),1988,186:381-407.

[5] [5] Phoenix S J D and Knight P L.Periodicity,phase,and entropy in models of two-photon resonance[J].J.Opt.Soc.Am.B,1990,7(1):116-1241.

[6] [6] Phoenix S J D and Knight P L.Establishment of an entangled atomfield state in the Jaynes-Cummings model[J].Phys.Rev.A,1991,44(9):6023-6029.

[8] [8] FANG Mao-fa,LIU Hui-en.Properties of entropy and phase of the field in the two-photon Jaynes-Cummings model with an added Kerr medium[J].Phys.Lett.A,1995,200:250-256.

[14] [14] Lai Y and Haus H A.Quantum theory of solitons in optical fibers.Ⅰ.Time-dependent Hartree approximation[J].Phys.Rev.A,1989,40(2):844-853.

[15] [15] Lai Y and Haus H A.Quantum theory of solitons in optical fibers.Ⅱ.Exact solution[J].Phys.Rev.A,1989,40(2):854-866.

[16] [16] Ewan M Wright.Quantum theory of soliton propagation in an optical fiber using the Hartree approximation[J].Phys.Rev.A,1991,43(7)3836-3844.