The Effect Of Any Spatial Distribution Of Classical Intensity On Generalized Nonlinear Higher-Power Squeezing Properties For Asymmetrical Multi-state Superposition Multimode Functional Superposition State Light-Field

In this thesis, the asymmetrical multi-state superposition multimode functional superposition state light-field, such as the asymmetrical four-, five- and nine-state superposition multimode functional superposition state light-field for which the classical intensity, the classical amplitude and the classical phase of the components in the states mentioned above have any spatial distribution, are constructed according to the state superposition principle in quantum mechanics. By utilizing the multimode squeezed state theory established recently, the generalized nonlinear equal- and unequal-power higher-power squeezing properties of the three kinds of multi-state superposition multimode functional superposition state light-fields are studied systematically. A series of new results and conclusions are therefore obtained, which are rather different from the latest reports. The main research contents and results are as the following:1. The analytical expressions of the eight different eigenstates of photon annihilation operator are given in this thesis. They are called the multimode functional coherent state and its contrary state, the multimode complex conjugate functional coherent state and its contrary state, the multimode functional imaginary coherent state and its contrary state, and the multimode imaginary conjugate functional coherent state and its contrary state, respectively. It is proved that these eight different multimode functional coherent states have the properties of non-orthogonally and over-completeness: And also they can present the property of Sub-poissionian photon statistics. So the eight states can be used to characterize any spatial distribution characteristic of classical intensity, classical amplitude, and classical initial phase of practical laser fields.2. The four-state superposition multimode functional superposition stateisconstructed, that is composed of the multimode functional coherent state, the multimode complex conjugate functional coherent state, and their contrary states. The theoretical scheme for preparing the state and for preparing multimode squeezed statelight-fields are given based upon the model of two-port light network generalized M-Z (Mach-Zehnder) interferometer. Using the multimode squeezed state theory, the properties of generalized nonlinear equal-power higher-power amplitude squeezing, equal-power higher-power sum squeezing, unequal-power higher-power amplitude squeezing, and unequal-power higher-power sum squeezing of the state are studied in detail,respectively. It is found that, (1) The state is a typical multimode non-classicallight-field, it can respectively present generalized nonlinear equal- and unequal-power higher-power amplitude squeezing and sum squeezing effect under some certain and fixed conditions. (2)The essential reason causing in the state ^(4)(/.)\ to display generalizedJ Iqqnonlinear higher-power squeezing phenomena lies in the quantum interference effects and quantum entanglement effects among the components in the state i//w(f,)) , the quantumJ Iqinterference effects and quantum entanglement effects among different modes in the state \\f/w(f )\ , multi-photon quantum entanglement effects among different photons of eachI / I qmode in the state ipw(fj)) , and mixed quantum entanglement effects among different state and different mode in the stateintensity and classical amplitude of light-field have Gaussian distribution features (diffraction beams) and other non-diffraction beams (such as cosine light beams).4. The state t//(A)(f)) is constructed, and its generalized nonlinear equal-powerhigher-power difference squeezing effect is studied by using multimode squeezed state theory. It is found that the two quadrature components of this state can present symmetrical lth-power difference squeezing effect under some certain and fixed conditions while each macroscopical quantum state within the state u/(4)(/.)) is two-mode light-field. However,the state y/w(f)\ never present difference squeezing effect if the cavity-mode-numberJ 11qis larger than two, or squeezed power-number is larger than one. This is a special physical phenomenon that needs further research.5. The unequal-intensity and injected vacuum field asymmetrical five-state superposition multimode functional superposition state light-field i//(5\f)) is constructed,and the theoretical scheme for preparing the state ?^i)(/)\ for which the two-port lightnetwork generalized M-Z interferometer is used are given. The generalized nonlinear equal-power higher-power amplitude squeezing properties of the state mentioned is studied in detail by utilizing multimode squeezed state theory. It is found that, for the state y/w(fj))q, injected multimode vacuum states light-field can enhance the squeezedamplitude, the squeezed degree and the squeezed depth, and thereby enhance the squeezing effect of the multimode light-fields under fixed conditions.6. The unequal-intensity and injected vacuum field asymmetrical nine-state superposition multimode functional superposition state light-field i//{^(f)) is constructed.was j I yThe generalized nonlinear equal-power higher-power amplitude squeezing properties of the state is studied preliminary, and the results are universal for studying the squeezed properties of various multimode superposition state light fields.From the above, we can see that the results in this thesis may be important for the further research of generating, preparing, controlling and dominating multimode squeezed states light-field, quantum communication, and multimode light-quanta communication.