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

P. Kumar
^{a}, R. Kumar^{ b} and H. Prakash^{ c}^{a}Department of Physics, Bhavan's Mehta Mahavidyalaya (V.S. Mehta College of Science), Bharwari, Kaushambi-212201 (U.P.), India
^{b}Department of Physics, Udai Pratap Autonomous College, Varanasi-221002 (U.P.), India
^{c}Department 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, X_{θ} ≡ X_{1}cosθ + X_{2}sinθ and amplitude n th-power squeezing of the Hermitian operator, Y_{θ}^{(n)} ≡ Y_{1}^{(n)} cosθ + Y_{2}^{(n)}sinθ in superposed state |ψ⟩ = K[|α,+⟩ + re^{iφ}|0⟩], of vacuum state and even coherent state defined by |α,+⟩ = K_{+}[|α⟩ + |-α⟩]. Here operators X_{1,2} are defined by X_{1} + iX_{2} = a, operators Y_{1,2}^{(n)} are defined by Y_{1}^{(n)} + iY_{2}^{(n)} = 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. |

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 |