Nonclassical Properteis of the Second-Harmonic Generation Two-Mode Hamiltonian under Different Initial Coherent States

HORACIO GRINBERG

Buenos Aires

Congreso; 27th International Conference on Low Temperature physics; 2014

Departamento de Fisica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires

Non classical properties of a field such as second-order squeezing, amplitude-square squeezing, and sub-Poissonian photon statistics emerging from the second-harmonic generation two-mode Hamiltonian are numerically simulated in the dispersive limit and under different initial coherent states. The resulting density operator matrix elements at t=0 allow quantum fluctuations of the quadrature components of the field to be measured by their second-order variances. The computations show oscillatory behavior with regions of considerable squeezing. This means that the states emerging from the proposed second-harmonic generation Hamiltonian are non-classcial in the dispersive limit and exhibit high degree of squeezing for appropriately chosen evolution time. The initial coherent states were taken as: (i) Poisson distribution; (ii) Mittag-Leffler coherent states; (iii) Binomial coherent states; (iv) Two-parameter set of states.