Enhancement of the Hong-Mandel Higher-Order Squeezing and Amplitude Odd-Power Squeezing in Even Coherent State by its Superposition with Vacuum State

Abstract

We study the Hong-Mandel 2n th-order squeezing of the Hermitian operator, X θ ≡ X1 cos θ + X2 sin θ and amplitude n th-power squeezing of the Hermitian operator, = a n , a is the annihilation operator, α, θ, r and ϕ are arbitrary and the only restriction on these is the normalization condition of the superposed state. We show that the Hong-Mandel 2n th-order squeezing and amplitude odd-power squeezing exhibited by even coherent state enhance in its superposition with vacuum state. Variations of these higher-orders squeezing with different parameters near its maxima have also been discussed.

Minimal Products of Coordinate and Momentum Uncertainties of High Orders: Significant and Weak High-Order Squeezing

“…The most general superpositions of two coherent states were considered in [ 49 , 50 ] in connection with the 4th order squeezing, and in [ 51 , 52 ] in connection with the th order Hong–Mandel squeezing. The enhancement of the th order Hong–Mandel squeezing in superpositions of even coherent states and the vacuum state was demonstrated in [ 53 ]. Two-mode generalizations of even/odd coherent states were studied in [ 54 , 55 ].…”