Review Article

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

Alemayehu Getahun* and Habtamu Dagnew

Published: 09 April, 2021 | Volume 4 - Issue 1 | Pages: 026-030

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.

Read Full Article HTML DOI: 10.29328/journal.ijpra.1001037 Cite this Article Read Full Article PDF


Coherent state; Sub-harmonic generation; Quadretuare squeezing, photon statistics


  1. 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.
  2. Kefelegn G. Superposition of two-level laser light Beams. MSc Thesis. 2013.
  3. Ayalew A, Kassahun F. Superposed Two mode chaotic, coherent, and Squeezed Vacuum State. Aksum University and Addis Ababa University. 2014.
  4. Kassahun F. Fundamentals of Quantum Optics. Lulu, North Carolina. 2008.
  5. Grynberg G, Aspect A, Fabre C. Introduction to quantum optics: from the semi-classical approach to quantized light. Cambridge University Press. 2010.
  6. Hailu L. Dynamics of coherently driven nondegenerate three-level atom. MSc Thesis. Addis Ababa University. 2013.
  7. 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.
  8. 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.
  9. Tewodros Y, Fesseha K. Coherently driven degenerate three-level laser with parametric amplifier. PMC Physics. 2010; 3.
  10. Fisseha K. Quantum analysis of subharmonic generation via first-order Hamiltonian. arxiv 1508.00340v1[quant.ph]. 2015.
  11. Bajar J. Photon statistics of higher harmonics & sub harmonic generation. J Eur Optical Soc. part B. 1994; 6.
  12. Perine J, Krepelka J. Quantum statistics of optical parametric processes with squeezed reservoirs. Optical Commun. 2015; 308: 274-281.
  13. Anwar J, Zubairy MS. Phys Rev A.1992; 45: 1804.
  14. 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.


Figure 1

Figure 1

Figure 1

Figure 2

Figure 1

Figure 3

Figure 1

Figure 4

Similar Articles

Recently Viewed

Read More

Most Viewed

Read More