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Global Journal of Human Social Science

CV Entanglement Analysis in the Superposition of Subharmonic and Second Harmonic Generation of Light with Injected Squeezed Laser Beams

Solomon Getahun

Published Oct 27, 2017• 0 citations
OpenAlex

Abstract

In this article, we have analyzed the squeezing and statistical properties of the light generated by the superposition of second harmonic light and degenerate three level squeezed laser beams. We have found that the mean photon number of the superposed light beams to be the sum of the mean photon number of that of the constituent light beams. However, the photon number variance of the superposed light beams does not happen to be the sum of the photon number variances of the separate light beams. On the other hand, the quadrature variance of the superposed light beams is the sum of the individual light beams. Furthermore, we have observed that the degree of squeezing for the superposed light beams is the average of the segregate light beams and the degree of squeezing is approximately 53.95% below the coherent state level. Even though, we have verified that the superposition of subharmonic and second harmonic light with injected degenerate three-level laser beams he haves squeezing, we do not show continuous variable entanglement. But, the absence of the laser beam in the superposition state give rise entangled photons.

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In this article, we have analyzed the squeezing and statistical properties of the light generated by the superposition of second harmonic light and degenerate three level squeezed laser beams. We have found that the mean photon number of the superposed light beams to be the sum of the mean photon number of that of the constituent light beams. However, the photon number variance of the superposed light beams does not happen to be the sum of the photon number variances of the separate light beams. On the other hand, the quadrature variance of the superposed light beams is the sum of the individual light beams. Furthermore, we have observed that the degree of squeezing for the superposed light beams is the average of the segregate light beams and the degree of squeezing is approximately 53.95% below the coherent state level. Even though, we have verified that the superposition of subharmonic and second harmonic light with injected degenerate three-level laser beams he haves squeezing, we do not show continuous variable entanglement. But, the absence of the laser beam in the superposition state give rise entangled photons.
In this paper, we have studied the squeezing and statistical properties of superposed three light beams. In order to carry out the analysis, we have obtained the superposition density operator along with the Q-functions, we have calculated the mean photon number, the photon number variance and the quadrature variance for the superposed three light beams. It has been found that the mean photon number and quadrature variances of the superposed three light beams are the sum of the mean photon numbers and quadrature variances of the separate light beams, respectively. The quadrature squeezing of the superposed three light beams is the average quadrature squeezing of the three light beams. In addition, the mean photon number and quadrature squeezing of the superposed three light beams increase with linear gain coefficient. Keywords: Superposed, Squeezing, Density operator.
With the aid of the solutions of the Quantum Langevin equations, we have calculated the Q-functions for the two-mode coherent and subharmonic cavity light beams. We have then determined the Q-function for the superposed two-mode coherent and subharmonic cavity light beams. With the help of the pertinent Q-functions for cavity light beams, we determined the photon statistics, quadrature statistics, and entanglement. we have obtained that the superposed two-mode coherent and subharmonic cavity light beams are in a squeezed state and the squeezing occurs in the plus quadrature. Besides, our analysis shows that at steady state and at threshold, the superposed two-mode coherent and subharmonic light beams have a maximum squeezing of 25%25\%25% below the two-mode vacuum-state level. We have also clearly shown that the superposed two-mode light beam is entangled at steady-state and threshold and the entanglement turned out to be observed in the highly correlated squeezed photons with 75%75\%75% degree of entanglement.
The aim of this paper is to analyze the squeezing and statistical properties of superposed output coherent and squeezed laser light beams. In order to carry out the analysis, we have obtained the superposition density operator along with the Q functions, we have calculated the mean photon number, the photon number variance and the quadrature variances for the superposed output light beams. It has been found that the mean photon number and quadrature variances of the superposed output light beams are the sum of the mean photon number and quadrature variances of the separate light beams, respectively. In addition, the mean photon number and quadrature squeezing of the superposed output light beams increase with linear gain coefficient. Keywords: Superposed, Squeezing, Density operator, Coherent light, Photon statistics. DOI : 10.7176/APTA/77-03 Publication date :May 31 st 2019
The squeezing, and statistical properties of a superposed light beam produced by a lambda type three-level lasers configuration have been studied. We have determined the quadrature variances mean as well as variance photon number for cavity modes with the aid of the solutions of c-number Langevin equations associated with the normal order. We have carried out our analysis a light in a squeezing state can be produced by the system under consideration under the condition that the cavity decay constant is larger than the linear gain coefficient and the squeezing occurs in the minus-quadrature. Furthermore, we also obtain with the aid of the Q-functions and the density operator the superposition beam, and superposed light beams are determined in quadrature variance and mean photon number. The result shows that the mean photon number and the quadrature variance of the superposed light beam are the sum of the mean photon number and the quadrature variance of the constituent light beams.
The squeezing and statistical properties of a pair of superposed non-degenerate three-level lasers coupled to a squeezed vacuum reservoir could be analyzed with the help of the density operator for a pair of superposed twomode laser light.We have determined the quadrature variances of the cavity modes.The results show that the light produced by the system under consideration is in squeezed state.According to our work, the quadrature squeezing for a pair of superposed laser light beams is found to be the average of the quadrature squeezing of the separate lasers.The presence of squeezed vacuum reservoir enhances the quadrature squeezing significantly.
We examined a two-mode coherent and subharmonic light beam within a cavity that is coupled to a two-mode vacuum reservoir through a single port mirror. Utilizing the solutions of the quantum Langevin equations, we developed Q-functions for the two-mode coherent and subharmonic cavity light beams. Subsequently, we calculated the Q-function for the superposed two-mode light beams in question. By leveraging the relevant Q-functions for the superposed cavity light beams, we investigated the quadrature statistics and entanglement. To conduct our analysis, we focused on a quantum system characterized by Gaussian operators with a zero mean. We have identified that the superposed two-mode coherent and subharmonic cavity light beams are in a squeezed state, with the squeezing occurring in the plus quadrature. Moreover, our analysis revealed that at steady state and at threshold, the superposed two-mode coherent and subharmonic light beams exhibit a maximum squeezing of 25% below the two-mode vacuum-state level. We have also clearly illustrated, using continuous variable entanglement criteria, that the superposed two-mode cavity light beams are entangled at both steady-state and threshold, with the entanglement being manifested in the highly correlated squeezed photons, which show a 75% degree of entanglement. Our analysis, applying Cauchy-Schewarz, Hillary-Zubiary, and Logarithmic Negativity entanglement criteria, further confirmed that the superposed cavity light beams in question are entangled. The Logarithmic Negativity criteria validated the entanglement of the superposed light, indicating a 50% degree of entanglement.