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Jiangnan daxue xuebao. Ziran kexue ban

Study on Gain of Probe Field in a V-Type Four-Level Atomic System

Xiangyang Zhang

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

Using numerical simulation methods,the properties of the absorption and dispersion of probe field in a four-level atomic system with two driving fields are analyzed.Under the condition of resonance,electromagnetically induced transparency(EIT) can appear in this system by adjusting the Rabi frequency of the coherent fields.Furthermore,the phenomenon of performance gain can be obtained by choosing appropriate parameters.Meanwhile,lasing without inversion(LWI) can be explicitly realized in this closed system.

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Lijun Yang, Ke-jia Sun, Su-Heng Zhang +1 more

We present a theoretical study on the nonlinear behaviors of the electromagnetically induced transparency resonance subject to two microwave driving fields in a four-level atom system. The probe absorption spectrum is obtained by solving numerically the relevant equations of density matrix. It is shown that there are two pairs of the EIT windows in the probe absorption spectrum. The two pairs of EIT windows have symmetry with respect to the resonance frequency of the probe field, and the separation is equal to the Rabi frequency of the resonant microwave driving field. But in each pair, the splitting of two EIT windows is dominated to the strength of detuning microwave driving field.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Nov 18, 2014•0 citations
Using numerical simulation methods,the properties of the absorption and dispersion of probe field in a four-level atomic system with two driving fields are analyzed.Under the condition of resonance,electromagnetically induced transparency(EIT) can appear in this system by adjusting the Rabi frequency of the coherent fields.Furthermore,the phenomenon of performance gain can be obtained by choosing appropriate parameters.Meanwhile,lasing without inversion(LWI) can be explicitly realized in this closed system.
With the density matrix equations of motion under the electric dipole and the rotating wave approximations,the mechanism of LWI gain was analyzed.By numerical results,the effects of the Rabi frequencies of the driving fields and nonlinear term on the gain without inversion and the population difference of the system were studied.Theoretical model of an openⅤ-type four-level atomic system was presented.Through calculation,when both the probing and driving fields are resonant,the dispersion equals to zero.A LWI gain was got during the region of Rabi frequencies of the driving fields.The gain was saturated because of nonlinear term.
Using density matrix eqution, the absorption and dispersion properties of a A-type four-level system driven by coherent fields are investigated. The result obtained by means of numerical method indicates that by adjusting the intensity of Rabi frequencies of the coherent field in the steady state, three, double or single electromagnetically induced transparency (EIT) can appear explicitly in this system. And the explanations of these phenomena are given by using the dressed states. In the three EIT, the location of transparent windows can be manipulated by controlling the detuning of the driving field. What's more, it is also found that the medium shows a large refractive index at each transparency window, and the group velocity of the probe laser can be enhanced.
Using matrix theory,the absorption and dispersion properties of a lamda-type four-level system driven by two coherent fields are investigated.The result obtained by means of numerical method indicates that by adjusting the intensity of Rabi frequencies of the coherent field in the steady state,double or single electromagnetically induced transparency(EIT) can appear explicitly in this system.And the explanations of these phenomena are given by using the dressed states.In the double electromagnetically induced transparency,the location of transparent windows can be manipulated by controlling the detuning of the driving field.Additionally,it is also found that the medium shows a large refractive index at each transparency window,and the group velocity of the probe laser can be enhanced.
The effect of the relative phase Φ between the probe and driving fields on gain and dispersion from different aspects in an open quasi-type four-level system by the numerical solution of the steady state was investigated.The results show that by adjusting the value of the relative phase the inversionless gain and dispersion can be periodically amplified and attenuated.High dispersion (refractive index) without absorption can be achieved.The dispersion curve corresponding to Φ=α is similar to the gain curve corresponding to Φ=α+π/2.When the probe field is on resonance,the largest lasing without inversion (LWI) gain can be obtained by adjusting the relative phase.The effect of the atomic exit and injection rates on the LWI gain for different values of the relative phase is also studied.
We present a theoretical study on the nonlinear behaviors of the electromagnetically induced transparency resonance subject to two microwave driving fields in a four-level atom system. The probe absorption spectrum is obtained by solving numerically the relevant equations of density matrix. It is shown that there are two pairs of the EIT windows in the probe absorption spectrum. The two pairs of EIT windows have symmetry with respect to the resonance frequency of the probe field, and the separation is equal to the Rabi frequency of the resonant microwave driving field. But in each pair, the splitting of two EIT windows is dominated to the strength of detuning microwave driving field.