Abstract
In this paper, employing the stochastic differential equations associated with the normal ordering, the quantum properties of a nondegenerate three-level cascade laser with a parametric amplifier and coupled to a two-mode thermal reservoir are thoroughly analyzed. Particularly, the enhancement of squeezing and the amplification of photon entanglement of the two-mode cavity light are investigated. It is found that the two cavity modes are strongly entangled and the degree of entanglement is directly related to the two-mode squeezing. Despite the fact that the entanglement and squeezing decrease with the increment of the mean photon number of the thermal reservoir, strong amount of these nonclassical properties can be generated for a considerable amount of thermal noise with the help of the nonlinear crystal introduced into the laser cavity. Moreover, the squeezing and entanglement of the cavity radiation enhance with the rate of atomic injection.
Highlights
Some authors have studied quantum properties of light generated by the three-level laser whose cavity contains a parametric amplifier [10,11,12,13]
Tesfa [22] studied the effect of the thermal light initially seeded in the cavity on the statistical and International Journal of Optics quantum features of the cavity radiation, but in the absence of the parametric amplifier. us, it has been shown that the degree of two-mode squeezing is almost independent of which mode is initially seeded, but the degree of entanglement decreases considerably when a light with the same strength is seeded in mode b
We have studied the steady-state two-mode squeezing and entanglement of the light produced by a nondegenerate three-level cascade laser with a coherently driven parametric amplifier and coupled to a two-mode thermal reservoir in the linear and adiabatic approximation schemes in the good cavity limit
Summary
Employing the linear and adiabatic approximation schemes in the good cavity limit that the equation of evolution of the density operator for the cavity modes has, in the absence of damping through the coupled mirror, the form [16]. The contribution of the initial thermal light in the cavity and the twomode vacuum reservoir to the master equation are sought To this end, one can start with the well-established fact that the time evolution of the reduced density operator for the cavity radiation coupled to a reservoir has, in the Born approximation [16], the form. + a†2a2jei ω0− ωjt − a2a†2je− i ω0− ωjt, where ω0 (ω1 + ω2)/2, with ω1 and ω2 representing the frequencies of the cavity radiations, (a1j, a2j) are the annihilation operators of the two-mode thermal reservoir, ωj is the frequency, and λj is the coupling constant for the jth mode of the reservoir. Ρρ(1(31030))ρ (330)(, 1on+eηe/2a)s,ilyafinnddsinρ(130v) i ew(1/o2f)t 1h e− ηr 2e.lation
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