Quantum analysis of sub harmonic generation with two-mode coherent light

Main Article Content

Alemayehu Getahun*
Habtamu Dagnew

Abstract

In this work the statistical and squeezing properties of light-driven by sub-harmonic generation with two-mode coherent light are studied. With interaction Hamiltonian of both two-mode coherent and sub harmonic generation, we have driven master equation of system under consideration. From the master equation, the solution of the C-number Langevin equation is derived. It helps us to solve quadrature variance, quadrature squeezing, mean, and variance of photon number for light produced by sub-harmonic generation with the two-mode coherent light state. And the result shows that; the squeezing occurs in plus quadrature with the maximum squeezing of 87%. The photon statistics of the system under consideration is subpoissonian in which both mean & variance are increasing as kappa increase.

Article Details

Getahun, A., & Dagnew, H. (2021). Quantum analysis of sub harmonic generation with two-mode coherent light. International Journal of Physics Research and Applications, 4(1), 026–030. https://doi.org/10.29328/journal.ijpra.1001037
Review Articles

Copyright (c) 2021 Getahun A, et al.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

The International Journal of Physics Research and Applications is committed in making it easier for people to share and build upon the work of others while maintaining consistency with the rules of copyright. In order to use the Open Access paradigm to the maximum extent in true terms as free of charge online access along with usage right, we grant usage rights through the use of specific Creative Commons license.

License: Copyright © 2017 - 2025 | Creative Commons License Open Access by International Journal of Physics Research and Applications is licensed under a Creative Commons Attribution 4.0 International License. Based on a work at Heighten Science Publications Inc.

With this license, the authors are allowed that after publishing with the journal, they can share their research by posting a free draft copy of their article to any repository or website.

Compliance 'CC BY' license helps in:

Permission to read and download
Permission to display in a repository
Permission to translate
Commercial uses of manuscript

'CC' stands for Creative Commons license. 'BY' symbolizes that users have provided attribution to the creator that the published manuscripts can be used or shared. This license allows for redistribution, commercial and non-commercial, as long as it is passed along unchanged and in whole, with credit to the author.

Please take in notification that Creative Commons user licenses are non-revocable. We recommend authors to check if their funding body requires a specific license. 

El-Orany FAA, Obada ASF, Abdelslam MA, Wahiddin MRB. Evolution of the pair-coherent state with the two-qubit: entanglement and cat-state generation. J Modern Optics. 2008; 55: 1649-1666.

Kefelegn G. Superposition of two-level laser light Beams. MSc Thesis. 2013.

Ayalew A, Kassahun F. Superposed Two mode chaotic, coherent, and Squeezed Vacuum State. Aksum University and Addis Ababa University. 2014.

Kassahun F. Fundamentals of Quantum Optics. Lulu, North Carolina. 2008.

Grynberg G, Aspect A, Fabre C. Introduction to quantum optics: from the semi-classical approach to quantized light. Cambridge University Press. 2010.

Hailu L. Dynamics of coherently driven nondegenerate three-level atom. MSc Thesis. Addis Ababa University. 2013.

Getahun S, Chibssa G, Abedella S, Mossisa M, Nuri M. CV Entanglement Analysis in the Superposition of Sub-harmonic and Second Harmonic Generation of Light with Injected Squeezed Laser Beams. Global J Sci Front Res. A Physics and Space Science.2003; 7: 2003.

Melaku M, Hirpo D. Entanglement of Cavity Light Produced by a Superposed Two-Mode Coherent and Sub-harmonic Light. arXiv: 1904.06060v1 [quant-ph] 12 Apr 2019.

Tewodros Y, Fesseha K. Coherently driven degenerate three-level laser with parametric amplifier. PMC Physics. 2010; 3.

Fisseha K. Quantum analysis of subharmonic generation via first-order Hamiltonian. arxiv 1508.00340v1[quant.ph]. 2015.

Bajar J. Photon statistics of higher harmonics & sub harmonic generation. J Eur Optical Soc. part B. 1994; 6.

Perine J, Krepelka J. Quantum statistics of optical parametric processes with squeezed reservoirs. Optical Commun. 2015; 308: 274-281.

Anwar J, Zubairy MS. Phys Rev A.1992; 45: 1804.

Bashe B, Kassahun F. Quadretuare squeezing in the cavity mode driven by coherent light & interact with two-level atom. Int J Mole Theoretical Phys.2018; 10.