General theory on generalized nonlinear unequelled-order higher-order squeezing of multi-mode radiative light field

In this paper, the general theory of generalized nonlinear unequalled-order higher-order squeezing of multi-mode radiative light field is further constructed by Yang Zhiyong and Hou Xun, that is based upon developing the current theory of generalized nonlinear equal-order higher-oder squeezing of multi-mode radiative light field established by Yang Zhiyong and Hou Xun and published in Acta Photonica Sinica in 1998 recently. The general definitions of N_j-th power Y-squeezing,N_j-th power H-squeezing and N _j-th power X-squeezing of multi-mode radiative light field, in which the squeezed order of each mode is unequalled, are proposed firstly, and then the unequalled-order N_j-Y minimum uncertainty state, the unequalled - order N_j-Y squeezed minimum uncertainty state, the unequalled-order N_j - H minimum uncertainty state, the unequalled - order N _j-H squeezed minimum uncertainty state, the unequalled - order N _j-X minimum uncertainty state and the unequalled - order N _j-X squeezed minimum uncertainty state are discussed respectively in detail. The results show that the definition of amplitude N-th power squeezing of single-mode radiative light field that is suggested by Zhang Z. M. et al and published in Phys. Lett. (A), 1990, Vol. 150, No. l, the definitions of both sum and difference squeezing of two-mode radiative light field presented by Mark Hillery in Phys. Rev. (A), 1989, Vol. 40, No. 6, and also the definitions of N - th power Y - squeezing, N - th power H-squeezing and N-th power X-squeezing, proposed by Yang Zhiyong and Hou Xun mentioned above, of multi-mode radiative light field in which the squeezed order of each mode is equivalent, are only the specific examples of the definitions of N_j-th power Y-squeezing, N_j-th power H-squeezing and N_j-th power X-Squeezing of this paper under different conditions.