The effect of unequal order N_jth power H squeezing in the multi mode quantum superposition state With two nonsymmetry multi-mode quantum states
Meng Ji-de · Journal of Shaanxi Normal University · 2004
The multi-mode squeezed state theory is utilized to study the effects of higher order unequal-order N_jth power H-squeezing on the multi-mode quantum superposition state |ψ〉_q that is made of the linear superpositinos of the two nonsymmetry multi-mode coherent states |{z~((a)~*)_j}〉_q and |-{z~((b)~*)_j}〉_q, it is found that two quardrature phase components in state |ψ〉_q can always display respectively the generalized nonliear higher-order unequal -order N_jth power Y-squeezing effects which changes periodically while some conditions are satisfied respectively by the sum ∑qj=1N_jφ_j of the multiplication N_jφ_j of the initial phase φ_j of each mode and squeezing order number N_j of each mode(here j=1,2,3,…,q), and by the initial phase difference θ~((R))_(pq)-θ~((R))_(nq) between the two components of state |ψ〉_q. The squeezing intensity is bigger when sum ∑qj=1N_j of squeezing order number N_j of each mode is odd number.