Theory of Quantum Entanglement of Intra-Cavity Photons Produced by a Non-Degenerate Parametric Oscillator (Ndpo) Semi-Classical Approach

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Tamirat Abebe
Nebiyu Gemechu
Milkessa Gebeyehu

Abstract

The von-Neumann entropy (VNE), usually expressed in terms of the density operator, isthe mathematical tool to measure the degree of entanglement of a bi-partite system.Applying the solutions of the quantum Langevin equations, the anti-normally orderedcharacteristic function of the intra-cavity photons produced by a non-degenerateparametric oscillator could be calculated. With the help of the resulting characteristicfunction, the Q- function which is then used to calculate the entanglement of the intra-cavity photons using VNE is determined. Moreover, the photon number distribution, themean photon number, the normalized second order correlation function, the intensitydifference, and quadrature variance for the intra-cavity photons produced by a non-degenerate parametric oscillator coupled to a two-mode squeezed vacuum reservoir isdetermined. It was found that when the squeeze parameter increases the entanglement alsoincreases. These show that the entropy entanglement has a direct relation with squeezing.

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How to Cite
Abebe, T., Gemechu, N., & Gebeyehu, M. (1). Theory of Quantum Entanglement of Intra-Cavity Photons Produced by a Non-Degenerate Parametric Oscillator (Ndpo). Ethiopian Journal of Educational Science, 14(2), 71-88. Retrieved from http://journals.ju.edu.et/index.php/ejes/article/view/669
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Original Article
Author Biographies

Tamirat Abebe, Jimma University, Ethiopia

Department of Physics, College of Natural Sciences, Jimma University,
Ethiopia

Nebiyu Gemechu, Jimma University

Department of Physics, College of Natural Sciences, Jimma University,
Ethiopia

Milkessa Gebeyehu, Jimma University, Ethiopia

Department of Physics, College of Natural Sciences, Jimma University,
Ethiopia