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Journal of Russian Laser Research

Entanglement of Degenerate and Nondegenerate Parametric Amplifiers Interacting with a Single Two-Level Atom

M. Sebawe Abdalla, A.‐S. F. Obada, Eied Mahmoud Khalil, M. M. A. Ahmed

Published Mar 1, 2015• 4 citations
Publisher
DOI
10.1007/s10946-015-9485-0

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Global Journal of Human Social Science•Oct 1, 2018•0 citations
The problem of two two-level atoms in interaction with a nondegenerate parametric amplifier is considered. The analytical solution of the wavefunction is obtained and used to derive the density matrix operator. The temporal evolution of the atomic inversion, the degree of entanglement, as well as the variance and entropy squeezing are discussed. In our analysis, we assumed that the atomic systems are in the excited states and the fields in the squeezed-pair coherent state. It has been shown that the coupling parameter, λ3 (the coupling between the two fields), gets more effective for the case in which the q-parameter is not equal to zero. Also for a strong coupling parameter λ3 the superstructure phenomenon can be observed. In the meantime, as we increase the value of the coupling parameter, the entanglement between the atoms and the fields gets stronger. Also it has been shown that in the presence of the parametric amplifier term, the system never reaches the pure state except during revival periods.
In this paper, the quantum properties of an electrically pumped non-degenerate three level laser with two mode subharmonic generator coupled to a two-mode vacuum reservoirs via a single-port mirror whose open cavity contains N non-degenerate three-level cascade atoms is presented. The analysis is carried out by putting the noise operators associated with a vacuum reservoir in normal order. It is found that the photons as well as atoms of the system are strongly entangled at steady state. It has been shown that the degree of photon entanglement greater than that of atom entanglement. Moreover, the presence of the subharmonic generator leads to an increase in the degree of entanglement.