Nonclassical Effect Of The Superposed State Of Su(2)'s Odd And Even Q-Coherent States

This paper is made of two chapters:In the first chapter q-deformed harmonic oscillator is derived from one dimension harmonic oscillator, then, The quantum Heisenberg-Wel algebra are obtained. The superposed state of SU(2)'s odd and even q-coherent states is constructed and average number in this state is calculated. Orthogonal squeezing effect and two-order antibunching effect are studied by calculating and experiment. It is found that with thesuperposed coefficient B and r the squeezing effect of S1 exhibits periodicchange of .Only if the value of deformation parameter q is one, can S2 have squeezing effect. With the value of deformation parameter q deviates from zero to one, S2 has no squeezing effect and its change curves are nearly similar. Deformation parameter q has less influence on antibunching effect than the superposed coefficientB.In the second chapter the higher-order average number in the superposed state of SU(2)'s odd and even q-coherent states is calculated further. And the higher-ordersqueezing effect and higher-order antibunching effect are studied by calculating and experiment in this state. In comparison with the first chapter's orthogonal squeezing effect, it is found that two-order squeezing effect always exists in spite of the value ofq and the curves of squeezing effect of S1 are similar to that of S2 In comparison with the two-order antibuching effect of the first chapter, deformation parameter q and superposed coefficient B have more influence on the antibuching effect with theincreasing of order. Higher-order antibunching effect has plentiful structure due to the influence of deformation parameter and superposed coefficient.