Quantum Analysis Of Twin Light Beam By Parametric Oscillator

Abstract

A Detailed Quantum Analysis Of Twin Light Beams With The Same And Different Frequencies Produced By The Process Of Parametric Oscillation Has Been Presented. We Have Described The Process Of The Parametric Oscillation With First-Order Hamiltonian Regardless Of Weather Thetwin Light Beams Have The Same Or Different Frequencies. Applying This Hamiltonian, We Have Obtained The Pertinent Master Equation Which Then Have Been Used To Obtain The Steady State Solutions Of The Equation Of Evolution Of The Expectation Values Of The Cavity Operators. Applyingresulting Steady State Solutions, We Have Studied The Photon Statistics, The Quadratur Esqueezing, And Entanglement For The Radiation. Obviously, This Time The Mean Photon Number Of The Signal-Signal Modes Has Been Found To Be Exactly The Same As That Of The Signal-Id Lermodes And They Also Have Exhibited Entanglement Property To Each Other With The Sum Of The Variances Of Cavity Epr-Like Operators Exactly Equal To The Quadrature Variance Of The Cavity Mode. However, The Fundamental Modes(Signal- Signal Or Signal-Idler) And The Reside Mode Were Not Squeezed As Well As Entangled. In Addition, We Have Found That The Maximum Global Quadrature Squeezing Of The Signal-Signal Or The Signal-Idler Modes Is 50% Below The Vacuum State Level And The Maximum Local Quadrature Squeezing Of The Signal-Signal Modes Is 74.9%Below The Same Level.