Entanglement Analysis Of The Light Generated By Non-degenarate Three-level Atom Interacting With Coherent Light And Coupled To Two-mode Squeezed Vacuum Reservoir

We study the statistical, the squeezing and entanglement properties of the light producedrnby coherently driven non-degenerate three-level atom in a cavity coupled to a two-modernvacuum reservoir. With the use of the master equation and large time approximation, wernobtain the equations of evolution for the expectation values of cavity mode and atomicrnoperators. We have calculated the mean and variance of the photon number, photonrnnumber correlation, and quadrature squeezing using the steady state solutions of thernequations of evolution. It is found that the cavity mean photon number is the sum of thernmean of the photon emitted by the atom and the mean of the squeezed vacuum reservoirrnphotons. Moreover, the mean photon number for the two modes are equal. In addition,rnwe noticed that the two-mode cavity light is in a squeezed state and the squeezing occursrnin the minus quadrature, with a maximum squeezing of 93.75% for rn = 0.5, r = 1.75, andrnrnc = 0. Furthermore, the entanglement of the cavity radiation is studied using differentrncriteria. The Duan et al. criteria, Hillery-Zubairy criteria, and logarithmic negativityrncriteria demonstrate that the two-mode cavity photons are entangled. The brightness ofrnthe cavity lights are affected by the rate of stimulated photon emission, the amplitudernof coherent light and the parameter of the two-mode squeezed vacuum reservoir. Both thernsqueezing and entanglement increase with the amplitude of coherent light and the squeezernparameter.

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