CAJ | 학술논문

本文使用近邻耦合模型得到的解析解,分析了周期性波导中输入态对量子行走的粒子数的概率分布函数和二阶相干性的影响.结果表明:输入态的对称性质对量子行走过程的二阶相干度有影响,而对粒子数的概率分布函数影响不大.
본문사용근린우합모형득도적해석해,분석료주기성파도중수입태대양자행주적입자수적개솔분포함수화이계상간성적영향.결과표명:수입태적대칭성질대양자행주과정적이계상간도유영향,이대입자수적개솔분포함수영향불대.
Continuous-time quantum random walk is constructed when photons propagate passing the branches of the waveguide array. It is possible to make quantum simulator, based on the quantum walk in waveguides, on a commercial scale firstly, but there are still some problems such as input state, the structure and boundary of the waveguides that should be treated at present. A nearest-neighbor coupling model is used to deal with the question of coupled waveguides and an explicit analytical solution can be derived. Using the analytical solution, we analyze the effects of input state on particle number probability distribution function and the second-order coherence degree of the quantum walk process in periodic waveguides. The results show that the symmetry properties of the input state would influence the distribution of second-order coherence degree, but have little effect on the probability distribution function.