CAJ | 학술논문

根据量子力学相干态表象下的Wigner函数公式,推导了N00N态在相空间的Wigner分布函数的解析表达式.基于相空间方法,研究N00N态作为输入的量子干涉.推导了与输入光场参数和干涉仪参数相关的输出端探测光子概率的解析表达式,并进行了数值分析.从分析结果发现,当相移参数?取0和π时,输出量子态仍为N00N态.当输入2002态时,输出结果总是2002态,与相移参数无关.随着N的增加,条件概率随相位的分布峰数一般只有一个,两个,三个或四个,且峰变得更窄.这些结果可以为实验提供理论指导.
근거양자역학상간태표상하적Wigner함수공식,추도료N00N태재상공간적Wigner분포함수적해석표체식.기우상공간방법,연구N00N태작위수입적양자간섭.추도료여수입광장삼수화간섭의삼수상관적수출단탐측광자개솔적해석표체식,병진행료수치분석.종분석결과발현,당상이삼수?취0화π시,수출양자태잉위N00N태.당수입2002태시,수출결과총시2002태,여상이삼수무관.수착N적증가,조건개솔수상위적분포봉수일반지유일개,량개,삼개혹사개,차봉변득경착.저사결과가이위실험제공이론지도.
Using the formula of Wigner function in coherent representation, we have obtained the analytical expression for Wigner function of N00N state. Based on phase space method, we study the quantum interference with N00N state as input. We derive the analytical expression of conditional probability related with the input parameter N and phase parameter? and analyze it numerically. It is shown that, when? is 0 orπ, the output is just N00N state. It is also shown that, for 2002 state as input, the output must be 2002 state, which is independent of phase parameters. Moreover, as the number of input photon N increases, the phase probability distributions remain to have one, two, three and four peaks and get narrower. All these results can offer theoretical reference for experiments.