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

P. Kumara, R. Kumar b and H. Prakash c aDepartment of Physics, Bhavan's Mehta Mahavidyalaya (V.S. Mehta College of Science), Bharwari, Kaushambi-212201 (U.P.), India bDepartment of Physics, Udai Pratap Autonomous College, Varanasi-221002 (U.P.), India cDepartment of Physics, University of Allahabad, Allahabad (U.P.)-211002(U.P.), India

Received: July 24, 2016

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We study the Hong-Mandel 2n th-order squeezing of the Hermitian operator, Xθ ≡ X1cosθ + X2sinθ and amplitude n th-power squeezing of the Hermitian operator, Yθ(n) ≡ Y1(n) cosθ + Y2(n)sinθ in superposed state |ψ⟩ = K[|α,+⟩ + reiφ|0⟩], of vacuum state and even coherent state defined by |α,+⟩ = K+[|α⟩ + |-α⟩]. Here operators X1,2 are defined by X1 + iX2 = a, operators Y1,2(n) are defined by Y1(n) + iY2(n) = an, 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.

DOI: 10.12693/APhysPolA.131.1485 PACS/topics: coherent state, non-classical features of optical field, the Hong-Mandel higher-order squeezing, amplitude n th-power squeezing, phase shifting operator