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International Journal of Modern Physics B

CROSSOVER FROM SPONTANEOUSLY GENERATED COHERENCE TO AUTLER–TOWNES SPLITTING IN THREE-LEVEL ATOMIC SYSTEMS

Qiong Du, Chao Hang, Guoxiang Huang

Published May 9, 2013• 0 citations
Publisher

Abstract

We investigate spontaneously generated coherence (SGC) and Autler–Townes Splitting (ATS) in various three-level systems. Through detailed analytical calculations on absorption spectrum of probe laser field, we show that in V-type system the SGC can completely eliminate the absorption of the probe field and at the same time significantly reduce the group velocity. By using residue theorem and spectrum decomposition method, we prove that there exists a crossover from SGC to ATS for both cold and warm atoms when the magnitude of SGC is changed. Different contributions of SGC and ATS to probe-field absorption spectrum are clearly clarified in different parameter regions. In addition, our results show that there is no SGC and hence no SGC-ATS crossover in Λ- and Ξ-type systems.

DOI
10.1142/s0217979213500653

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We investigate spontaneously generated coherence (SGC) and Autler–Townes Splitting (ATS) in various three-level systems. Through detailed analytical calculations on absorption spectrum of probe laser field, we show that in V-type system the SGC can completely eliminate the absorption of the probe field and at the same time significantly reduce the group velocity. By using residue theorem and spectrum decomposition method, we prove that there exists a crossover from SGC to ATS for both cold and warm atoms when the magnitude of SGC is changed. Different contributions of SGC and ATS to probe-field absorption spectrum are clearly clarified in different parameter regions. In addition, our results show that there is no SGC and hence no SGC-ATS crossover in Λ- and Ξ-type systems.
We investigate electromagnetically induced transparency (EIT) and Autler-Townes splitting (ATS) in an open V-type molecular system. Through detailed analytical calculations of the absorption spectrum of a probe laser field using the residue theorem and spectrum decomposition, we find that EIT may occur and a crossover from EIT to ATS exists for hot molecules. However, there is no EIT and hence no EIT-ATS crossover for cold molecules. Furthermore, we prove that for hot molecules EIT is allowed even for a counter-propagating configuration. We provide explicit formulas of EIT conditions and widths of EIT transparency windows of the probe field when hot molecules work in copropagating and counter-propagating configurations, respectively. Our theoretical result agrees well with the recent experimental ones reported by Lazoudis et al. [Phys. Rev. A 83, 063419 (2011)].
The linear and nonlinear pulse propagations in lifetime-broadened three-state media with spontaneously generated coherence (SGC) are investigated theoretically. Three generic systems of V-, ΛΛΛ-, and ΞΞΞ-type level configurations are considered and compared. It is shown that in linear propagation regime the SGC in the V-type system can result in a significant change of dispersion and absorption and may be used to completely eliminate the absorption and largely reduce the group velocity of a probe field. However, the SGC has no effect on the dispersion and absorption of the ΛΛΛ- and ΞΞΞ-type systems. In nonlinear propagation regime, the SGC displays different influences on Kerr nonlinearity for different systems. Specifically, it can enhance the Kerr nonlinearity of the V-type system whereas weaken the Kerr nonlinearity of the ΛΛΛ-type system. Using the SGC, stable optical solitons with ultraslow propagating velocity and very low pump power can be produced in the V-type system by exploiting only one laser field in the system.
Electromagnetically induced transparency (EIT) and Autler–Townes splitting (ATS) are two similar yet distinct phenomena that modify the transmission of a weak probe field through an absorption medium in the presence of a coupling field, featured in a variety of three-level atomic systems. In many applications it is important to distinguish EIT from ATS splitting. We present EIT and ATS spectra in a three-level cascade system, involving cold cesium atoms in the Rydberg state. The EIT linewidth, γ EIT , defined as the full width at half maximum of the transparency window, and the ATS splitting, γ ATS , defined as the peak-to-peak distance between AT absorption peaks, are used to delineate the EIT and ATS regimes and to characterize the transition between the regimes. In the cold-atom medium, in the weak-coupler (EIT) regime γ EIT ≈ A + B ( + , where Ω c and Ω p are the coupler and probe Rabi frequencies, Γ eg is the spontaneous decay rate of the intermediate 6P 3/2 level, and parameters A and B that depend on the laser linewidth. We explore the transition into the strong-coupler (ATS) regime, which is characterized by the relation γ ATS ≈ Ω c . The experiments are in agreement with numerical solutions of the Master equation. Our analysis accounts for non-ideal conditions that exist in typical realizations of Rydberg-EIT, including laser-frequency jitter, Doppler mismatch of the utilized two-color Rydberg EIT system, and strong probe fields. The obtained criteria to distinguish cold-atom EIT from ATS are readily accessible and applicable in practical implementations.
The effects of spontaneously generated coherence (SGC) on the propagation of a weak probe pulse are investigated in a ladder-type atomic system. Due to SGC, the properties of the dispersion and the absorption of a three-level ladder-type system are changed greatly. With proper parameters, the system can produce normal and anomalous dispersion regions in the gain region. The effects of the incoherent pumping and the relative phase on the group velocity are also studied. They all can be used as switches to manipulate the group velocity of the weak probe field from gain-assisted sub- to superluminance.
This paper investigates the effects of spontaneously generated coherence(SGC) on the probe absorption in the Y-type four-level atomic system driven by three fields.It finds that the probe absorption at the resonance center shows the different phenomena with the SGC effects.When SGC produces the destructive interference on the probe absorption,the absorption at the resonance center is reduced with the SGC enhancement and the gain appears there.When SGC produces the constructive interference on the probe absorption,the absorption at the resonance center is enhanced with the SGC enhancement.That is electromagnetically induced absorption(being abbreviated EIA);the intensity of double electromagnetically induced transparency(being abbreviated EIT);at both sides of the resonance is increased,and the windows get wider.At the same time,the linewidth of the absorption at the resonance center becomes narrow and the transparent windows at both sides of the resonance get wider when the spontaneous decay rate of energy levels |3〉→|2〉 and 4〉→|2〉 is decreased at the ratio of the spontaneous decay rate of energy levels |3〉→|2〉 and |4〉→|2〉 being constant.
We propose a new scheme to generate stable ultraslow optical solitons in lifetime-broadened three-state V-type media via spontaneously generated coherence (SGC). We show that in the linear propagation regime, SGC in the system can result in a significant change of dispersion and absorption, which may be used to completely eliminate absorption and greatly reduce the group velocity of the probe field. In the nonlinear propagation regime, SGC can largely enhance the Kerr nonlinearity of the system. By means of SGC, stable optical solitons with ultraslow propagating velocity and ultralow generation power can be produced. Different from previous works, ultraslow optical solitons obtained in the present system based on SGC have much smaller attenuation during propagation and can be created by using only one laser field.