q变形非简谐振子广义相干态的叠加态及其非经典特性

Superposition of Generalized q-Coherent States of the Non-harmonicOscillator and Their Nonclassical Properties

给出了q变形非简谐振子广义相干态的叠加态 ,研究了这种叠加态的量子统计特性 ,并就叠加相位δ和形变参数q对这些特性的影响进行了讨论 .结果表明 ,当δ分别趋近于 0和π 2时 ,叠加相干态的非经典特性分别趋近于q变形非简谐振子奇偶广义相干态的结果 ,并且q偏离 1越大 ,这种非经典特性越明显 .

The superposition states, which are composed of the generalized q-coherent states of the non-harmonic oscillator, are presented. The quantum statistical properties of these states are studied. Then the influence of the superposition phase δ and the deformation parameter q on these nonclassical properties are discussed. It is shown that the superposition states exhibit higher-order (order of odd number) squeezing effect and antibunching effect respectively. When the superposition phase δ is taken values approach to 0 or π/2, these results approach the properties of the even or odd generalized q-coherent states of the non-harmonic oscillator. Especially, the effects are influenced by the parameter q. When the values of q is taken departure from 1 greatly, the nonclassical properties are more evidently.