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Xiaogan Xueyuan xuebao

Nonlinear Response of a Three-level System Driven by a Trichromatic Field and Probed by an Arbitrary Intense Monochromatic Field

Xiu Zhang

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

In this paper,we discussed the electromagnetically induced transparency(EIT) in three-level system driven by a trichromatic field.Firstly,we studied the transitions in three-level system driven by a trichromatic field and probed by a monochromatic field.Based on that,we wrote out the density matrix equation.Then we solved the equations by the method of numerical calculation and drawing the absorption and dispersion spectra.Two characteristic features are found.One is that the central transparency can be made by controlling the phases of excitation components and the other is that we can get different lineshapes of absorption and dispersion spectra by changing the relative phases of two sideband excitation components to the central component.

Related papers

Amplitude and phase control of trichromatic electromagnetically induced transparency

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Journal of Physics B Atomic Molecular and Optical Physics•Mar 8, 2005•16 citations

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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Nov 18, 2014•0 citations

Simultaneous electromagnetically induced transparency and absorption in thermal atomic medium

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A three-level lambda system driven by multicolor control, pump, and probe fields is investigated. The pump and probe fields are derived from the same laser with opposite propagating directions. Due to the Doppler effect, the zero group-velocity atoms face bichromatic fields, while other atoms face trichromatic fields. The atomic medium shows distinct characteristics and exhibits simultaneous electromagnetically induced transparency (EIT) and electromagnetically induced absorption (EIA) at two frequencies. EIT and EIA peaks have a fixed relationship with frequency, which is determined by the Doppler shifts.

Chinese Optics Letters•Jan 1, 2017•3 citations
In this paper,we discussed the electromagnetically induced transparency(EIT) in three-level system driven by a trichromatic field.Firstly,we studied the transitions in three-level system driven by a trichromatic field and probed by a monochromatic field.Based on that,we wrote out the density matrix equation.Then we solved the equations by the method of numerical calculation and drawing the absorption and dispersion spectra.Two characteristic features are found.One is that the central transparency can be made by controlling the phases of excitation components and the other is that we can get different lineshapes of absorption and dispersion spectra by changing the relative phases of two sideband excitation components to the central component.
We study the dependence of absorption and dispersion spectra on amplitudes and phases of the driving fields in multiple electromagnetically induced transparency. For this purpose we consider trichromatic excitation in a three-level Λ atomic system, in which a trichromatic control laser and a monochromatic probe laser are applied to two different transitions, respectively. We numerically calculate the absorption and dispersion spectra. Two characteristic features are found. Firstly, the central transparency can be made to appear or to disappear by utilizing the amplitudes and phases of the driving components. Secondly, so long as we fix the sum of two relative phases of two sideband excitation components to the central component, the absorption and dispersion spectra keep their own lineshapes unchanged no matter how we vary the respective relative phases.
The probe absorption spectrum of the Λ-three-level system driven by bichromatic coupling field and weak probe field is investigated. We obtain the probe absorption spectra for different frequency detunings of coupling field by solving the density matrix equation and numerical analysis. Three electromagnetically induced absorption (EIA) peaks are simultaneously observed in the absorption profile of probe field. We report the dependence of position and relative intensity of EIA on the frequency detuning of the bichromatic coupling field. The results show that central EIA always appears at the resonant frequency of probe field, with the constant intensity. The position of the secondary EIA vary with the frequency detuning of coupled field, and the intensity of the absorption peaks decrease with the increasing detuning.
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.
In this paper we study the nonlinear behavior of an electromagnetically induced transparency (EIT) resonance subject to a coherent driving field. The EIT is associated with a $\ensuremath{\Lambda}$ three-level system where two hyperfine levels within an electronic ground state are coupled to a common excited state level by a coupling field and a probe field. In addition there is an radio-frequency (rf) field driving a hyperfine transition within the ground state. The paper contrasts two different situations. In one case the rf-driven transition shares a common level with the probed transition and in the second case it shares a common level with the coupled transition. In both cases the EIT resonance is split into a doublet and the characteristics of the EIT doublet are determined by the strength and frequency of the rf-driving field. The doublet splitting originates from the rf-field induced dynamic Stark effect and has close analogy with the Autler-Townes effect observed in three-level pump-probe spectroscopy study. The situation changes when the rf field is strong and the two cases are very different. One is analogous to two $\ensuremath{\Lambda}$ three-level systems with EIT resonance associated with each. The other corresponds to a doubly driven three-level system with rf-field-induced electromagnetically induced absorption resonance. The two situations are modeled using numerical solutions of the relevant equation of motion of density matrix. In addition a physical account of their behaviors is given in terms of a dressed state picture.
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.
A three-level lambda system driven by multicolor control, pump, and probe fields is investigated. The pump and probe fields are derived from the same laser with opposite propagating directions. Due to the Doppler effect, the zero group-velocity atoms face bichromatic fields, while other atoms face trichromatic fields. The atomic medium shows distinct characteristics and exhibits simultaneous electromagnetically induced transparency (EIT) and electromagnetically induced absorption (EIA) at two frequencies. EIT and EIA peaks have a fixed relationship with frequency, which is determined by the Doppler shifts.