Nonclassical Effects of Light in Fifth Harmonic Generation up to First-Order Hamiltonian Interaction

Author:

Pratap Rajendra1,Giri D. K.2,Prasad Ajay3

Affiliation:

1. Department of Physics, R. S. More College, Vinoba Bhave University, Hazaribag, Govindpur 828109, India

2. Department of Physics, Sindri College, Vinoba Bhave University, Hazaribag, Sindri 828122, India

3. Department of Physics, P. K. R. M. College, Vinoba Bhave University, Hazaribag, Dhanbad 826004, India

Abstract

The nonclassical effects of light in the fifth harmonic generation are investigated by quantum mechanically up to the first-order Hamiltonian interaction. The coupled Heisenberg equations of motion involving real and imaginary parts of the quadrature operators are established. The occurrence of amplitude squeezing effects in both quadratures of the radiation field in the fundamental mode is investigated and found to be dependent on the selective phase values of the field amplitude. The photon statistics in the fundamental mode have also been investigated and found to be sub-Poissonian in nature. It is observed that there is no possibility to produce squeezed light in the harmonic mode up to first-order Hamiltonian interaction. Further, we have found that the normal squeezing in the harmonic mode directly depends upon the fifth power of the field amplitude of the initial pump field up to second-order Hamiltonian interaction. This gives a method of converting higher-order squeezing in the fundamental mode into normal squeezing in the harmonic mode and vice versa. The analytic expression of fifth-order squeezing of the fundamental mode in the fifth harmonic generation is established.

Publisher

Hindawi Limited

Subject

General Medicine,General Chemistry

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