Abstract
Squeezing and entanglement of a two-mode cascade laser, produced by a three-level atom which is initially prepared by a coherent superposition of the top and bottom levels then injected into a cavity coupled to a two-mode squeezed vacuum reservoir is discussed. I obtain stochastic differential equations associated with the normal ordering using the pertinent master equation. Making use of the solutions of the resulting differential equations, we determined the mean photon number for the cavity mode and their correlation, EPR variables, smallest eigenvalue of the symplectic matrix, intensity difference fluctuation, and photon number correlation. It is found that the squeezed vacuum reservoir increases the degree of the statistical and nonclassical features of light produced by the system. Furthermore, using the criteria developed by logarithm negativity and Hillery-Zubairy criteria, the quantum entanglement of the cavity mode is quantified. It is found that the degree of the entanglement for the system under consideration increases with the squeezing parameter of the squeezed vacuum reservoir.
Highlights
The ladder-type three-level laser has received a considerable interest over the years in light of its potential application as a source of radiation with various quantum properties [1,2,3,4,5,6,7,8]
We have studied the entanglement, squeezing properties, and photon statistics of the two-mode light generated by a nondegenerate three-level laser coupled to a squeezed vacuum reservoir
We have seen that the degree of squeezing increases with the linear gain coefficient for small values of η, almost perfect squeezing can be obtained for large values of the linear gain coefficient, the mean photon number increases considerably due to the squeezed vacuum reservoir, and the squeezing parameter could enhance or suppress the mean number of photons based on the values of other parameters we choose
Summary
The ladder-type three-level laser has received a considerable interest over the years in light of its potential application as a source of radiation with various quantum properties [1,2,3,4,5,6,7,8]. Tesfa [40] has studied the entanglement amplification and squeezing properties of the cavity mode produced by nondegenerate three-level laser applying the solution of the stochastic differential equation when the atomic coherence is introduced initially preparing a threelevel atom by a coherent superposition of the top and bottom levels via the intermediate. He showed that the two-mode cavity radiation exhibits squeezing properties under certain conditions pertaining to the initial preparation of the superposition, where the degree of the squeezing increases with the linear gain coefficient. Employing the criteria developed for continuous variables such as logarithmic negativity and Hillery-Zubairy criteria, the nonclassical property of light (entanglement) produced by the system is quantified
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