Simultaneous hong-mandel's higher-order squeezing of both quadrature components in superposition of two Coherent states

We study simultaneous Hong-Mandel's higher-order squeezing of the two quadrature components by considering Hermitian operator, X₀ = X₁ cosθ + X₂ sinθ, in the most general superposition state |Ψ)=Z₁α)+Z₂|β) of two coherent states |α) and |β). Here, Hermitian operators X₁, ₂ are defined by X₁ + iX₂ = a, a is the annihilation operator, is an arbitrary angle, Z₁, Z², α and β are arbitrary complex numbers and the only restriction on these is the normalization condition of the superposed coherent states. We conclude that simultaneous Hong-Mandel's higher-order squeezing of both quadrature components with equal minimum higherorder fluctuations occurs for an infinite number of combinations of parameters Z₁, Z₂, α, β and θ. Variations of higher-order fluctuations with intensity parameter have also been discussed.