| In this thesis , it is constructed that the fifth kind of multimode superposition state light field which is composed of the linear superpositions of macroscopically distinctthree quantum states named multimode complex conjugation coherent state , the contrary state of multimode complex conjugation coherent state and multimode imaginary coherent state , and it is also constructed that a new kind of four states superposition multimodesuperposition state light field which is made of the linear superpositions ofmacroscopically distinct four quantum states named multimode complex conjugation coherent state , the contrary state of multimode complex conjugation coherent state, multimode imaginary coherent state and the contrary state of multimode imaginary coherent state , which is based up on linear superposition principle of states in quantum mechanics. By utilizing the multimode squeezed states theory established by Yang Zhiyong and Hou Xun and published in Acta Photonica Sinica, the properties of generalized nonlinear equal-power N-th power Y-squeezing and N-th power H-squeezing of the state , and theproperties of generalized nonlinear unequal-power Nj -th power Y-squeezing and N j-thpower H-squeezing of the state are studied firstly and systematically; Meanwhile theproperties of generalized nonlinear equal-power N-th power Y-squeezing and N-th powerH-squeezing of the state are further studied firstly and systematically. The mainscientific research contents and results are shown as follows:1 . The developing history on the regime of light field squeezed state and the fundamentaltheory of multimode squeezed state are introduced systematically and the value ofsience, technology, and its applications corresponding to the multimode squeezed statementioned above are pointed out. 2. The properties of generalized nonlinear equal-power N-th power Y-squeezing , equal-power N-th power H-squeezing, unequal-power -th power Y-squeezing and unequal-power Nj-th power H-squeezing of the stateare studied. It is found thatwhether the squeezing-power-number is an odd or even number, or whether the product of the squeezing-power-number and the total cavity-mode-number is an odd or even number , while some fixed conditions are satisfied respectively by the initial phase ofeach mode in the state or the sum of the initial phase of each mode in the samestate , by the initial phase difference between any two components in the state and by the sum of mean photon-numbers , which are modulated by the initial phase of each mode in the state involved, of all the single mode coherent states light field,Vthe statecan always display the effects of generalized nonlinear equal-power N-thpower Y-squeezing and unequal-power Nj -th power Y-squeezing, or present the effects of generalized nonlinear equal-power N-th power H-squeezing and unequal-power Nj -thpower H-squeezing, which changes alternatively and periodically.3. The properties of generalized nonlinear equal-power N-th power Y-squeezing and equal-power N-th power H-squeezing of the state are further studied too . The resultsshow that under the condition of the squeezing-power-number being an any even number or the pruduct of the squeezing-power-number and the total cavity-mode-number being an any even number , if some certain and fixed conditions are satisfiedrespectively by the initial phase of each mode in the state or the sum of the initialphase of each mode in the same state mentioned above , by the initial phase difference between any two components in the state , and by the sum of mean photon-numbers , which are modulated by the initial phase of each mode in the statementioned, of all the single mode coherent states light field, the state canalways display the effect of generalized nonlinear equal -power N-th power Y-squeezing, or present the effect of generalized nonlinear equal-power N-th power H-squeezing, that changes alternatively and periodically. |
