The equal-order N-th power Y squeezing of multi-mode imaginary-odd and even coherent stats superposition
Jinguo Wang · Journal of Northwest University · 2005
Aim By utilizing the multi-mode squeezing state theory, the properties of the equal-order N-th power Y squeezing of state ｜Ψ~((4))_(oe)V〉_q are studied.Methods According to the linear superposition principle of quantum mechanics, the fifth kind of four-state superposition multi-mode superposition states light field ｜Ψ~((4))_(oe)V〉_q is constructed with multi-mode imaginary-odd and even coherent states.Results ①When squeezing order N is an even number, state ｜Ψ~((4))_(oe)V〉_q never represents the equal-order N-th power Y squeezing: a. When N=4 m(m=1,2,3,…) state ｜Ψ~((4))_(oe)V〉_q presents the equal-order N-th minimum uncertainty state; b. When N=4 m′-2 (m′=1,2,3,…), state ｜Ψ~((4))_(oe)V〉_q represents half coherent state. ②When N is odd number, in different conditions, the first and second orthogonal phase components of state ｜Ψ~((4))_(oe)V〉_q respectively represents the odd or even number equal-order N-th power Y squeezing effects.Conclusion The new properties of the equal-order N-th power Y squeezing of state (｜Ψ~((4))_(oe)V〉_q) are found.