Study On The Properties Of Equal-Power And Unequal-Power Y-Squeezing And H-Squeezing In The First Kind Of Unequally Intensity Asymmetrical Multimode Superposition State Light Field With The Superposition Of Two Quantum States

The paper constructs the first kind of unequally intensity asymmetrical multimode superposition state light field | ab)>, composed of the linear superposition of the contrary state of the multimode complex conjugate coherent state and the multimode imaginary conjugate coherent state based on superposition theory of states in the quantum mechanics. By utilizing the theory of multimode squeezed states, the properties of generalized nonlinear equal-power N-ih power Y-squeezing and H-squeezing of state | (ab)>q and the properties of generalized nonlinear unequal-power A//-th power Y-squeezing and H-squeezing of the state q are studied in detail. The chief contents and conclusions are drawn as follows:1. Introduced the development of light field squeezed state and the foundational theory of multimode squeezed states.2. The properties of generalized nonlinear equal-power 7V-th power Y-squeezing and equal-power N-th power H-squeezing of state are studied. It is found that if the intensity and the initial phase of the two quantum light field states which composed of the state are unequal, and if some certain conditions are satisfied by the initial phase of all modes, and by the initial phase difference between the two components of the state , and by the photon interference items sum of each-mode coherent state light field, which is corresponding to the above-mentioned two quantum light field states, the state displays the effects of generalized nonlinear equal-power N-th power Y-squeezing and equal-power Af-th power H-squeezing, that changes periodically. This result is different from the result reported in current references. If the intensity and the initial phase of the two quantum light field states which composed of the state are equal, the state degenerates to equally intensity general multimode superposition state light field which is formed by linear superposition of two symmetrical states. Then the state , and the state in the reference No.34 present generalized nonlinear equal-power N-th power Y-degenerate squeezing and equal-powerth power H-degenerate squeezing.3. The properties of generalized nonlinear unequal-power -th power Y-squeezing and H-squeezing effect of the stateare studied. It is found that for any squeezing power number if the squeezing power number of all modes, the initial phase satisfy particular conditions, and the initial phase difference betweenthe two components of each mode coherent state light field satisfy the certain condition, the state can always present generalized nonlinear unequal-power A^-th power Y-squeezing and H-squeezing effect.