Equal power higher-order sum-squeezing in nonsymmetry multi-mode quantum superposition state
Meng Ji-de · Chinese Journal of Quantum Electronics · 2004
Based on the superposition theory in the quantum mechanics, the nonsymmetry multi-mode Quantum superposition state light field |ψ1f(2)q is constituted by complex conjugate multi-mode coherent state light field \{zj(a)*}q and reversed state |{-Zj(b)*}q of complex conjugate multi-mode coherent state. By using higer-order squeezing theory in multi-mode state, It is studied that equal power higher-order sum-squeezing properties in the |ψ1f(2)q,it is found: 1) When Rj(a) = Rj(b) = Rj and ψj(a) - ψj(b) = ±(2k1 + 1)π(k1 = 0, 1, 2, 3, ...... ), the two quardrature phase components in the |ψ1f(2)q are all in N - H smallest uncertain state; 2) When Rj (a) = Rj(b) = Rj and ψj(a) = ψj(b) = ψj equal power higher-order sum-squeezing in \ψ1f(2)q looks like the results in the literature 3; 3) When Rj(a)#Rj(b) and ψj(a) =ψj(b) = ψj and the certain conditions are saisfied by and , The two quardrature phase components in |ψ1f(2)q all present respectively equal power higher-order oum-squeezing effect which changes periodically whether qN is odd number or even number, but squeezing-intensity under qN is odd number is bigger then squeezing-intensity under qN is even number.