Use of electromagnetically induced transparency for measurement of superhyperfine splitting of the levels of rare-earth metals doped in optical crystals

The results of experimental and theoretical investigations of the electromagnetically induced transparency regime on the ⁴ I _9/2-⁴ G _5/2 transition in Nd³⁺ ions doped in LaF₃ are presented. The superhyperfine splitting of the upper and lower working levels has been determined on the basis of the results obtained. A theoretical model adequately describing the parameters of the resonances of electromagnetically induced transparency has been developed by analyzing the experimental data. Original Russian Text ? R.A. Akhmedzhanov, A.A. Bondartsev, L.A. Gushchin, N.A. Zharova, 2007, published in Pis’ma v Zhurnal éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2007, Vol. 86, No. 9, pp. 646–650.     

Effect of the polarization of counterpropagating light waves on nonlinear resonances of the electromagnetically induced transparency and absorption in the Hanle configuration

A polarization method has been proposed for transforming the nonlinear electromagnetically induced transparency resonance into the electromagnetically induced absorption resonance (and vice versa) in the Hanle configuration in the field of counterpropagating waves. Numerical calculations have been performed for the F _g = 2 → F _e = 1 and F _g = 2 → F _e = 3 transitions in the ⁸⁷Rb atom. The qualitative analysis of the effect has been performed for the three-level Λ scheme of the atomic energy levels. The main theoretical conclusions are in qualitative agreement with our experimental data for ⁸⁷Rb. The results can be applied in magnetometry and nonlinear optics.     

Electromagnetically induced transparency on Zeeman sublevels in Nd<Superscript>3+</Superscript>:LaF<Subscript>3</Subscript> crystals

The results of experimental observation of the electromagnetically induced transparency regime on the ⁴ I _9/2-⁴ G _5/2 transition in Nd³⁺ ions doping in LaF₃ are presented. The depth and width of the transparency are analyzed as functions of the control field intensity.     

外加磁场对简并二能级原子系统相干特性的影响

在铯原子简并二能级系统中6S_1/2F=4—6P_3/2 F'=5 的循环跃迁上获得了电磁感应吸收(EIA)峰，并研究了轴向均匀磁场对二能级系统相干效应的影响，即存在轴向均匀磁场时，观测到在铯原子6S_1/2F=4—6P_3/2F'=5 跃迁频率处EIA和电磁诱导透明(EIT)的混合结构，在合适的实验条件下，其结果与Ye等(2002)的理论分析相一致. 关键词： 电磁感应吸收(EIA) 铯原子 简并二能级系统     

Er$lt;sup$gt;3+$lt;/sup$gt;：YAlO$lt;sub$gt;3$lt;/sub$gt;晶体中Λ型四能级系统的量子相干左手性

用相干量子干涉和电磁感应透明（Electromagnetically induced transparency,EIT） 效应在Er³⁺：YAlO₃晶体中计算得到了Thommen,Mandel和Kastel对原子气提出的Λ型四能级系统的负折射率.计算结果得到的负折射率对应的频带宽度约为1 MHz,比先前报道的10³ Hz量级要宽得多.通常而言对应于折射/吸收比|Re［n］/lm［n］|≈1,而计算所得结果是|Re［n］/lm［n］|为4.6,表明吸收被EIT效应很好地抑制.Im［n］出现的负值可能与Er³⁺的⁴I_13/2→⁴I_15/2跃迁的受激发射有关.由此可知,稀土离子掺杂材料具有丰富的能级和各种不同的电磁跃迁,也是电磁感应负折射率材料中出色的应用材料的候选者. 关键词： 稀土掺杂晶体 量子干涉 电磁感应透明 负折射率材料     

Double-resonance optical-pumping effect and ladder-type electromagnetically induced transparency signal without Doppler background in cesium atomic vapour cell

In a Doppler-broadened ladder-type cesium atomic system (6S_1/2-6P_3/2-8S_1/2), this paper characterizes electromagnetically induced transparency (EIT) in two different experimental arrangements, and investigates the influence of the double-resonance optical-pumping (DROP) effect on EIT in both arrangements. When the probe laser is weak, DROP is explicitly suppressed. When the probe laser is moderate, population of the intermediate level (6P_3/2 F'=5) is remarkable, therefore DROP is mixed with EIT. An interesting bimodal spectrum with the broad component due to DROP and the narrow part due to EIT has been clearly observed in cesium 6S_1/2 F=4-6P_3/2 F'=5-8S_1/2 F"=4 transitions.     

Effective regime of electromagnetically induced transparency in a Pr<Superscript>3+</Superscript>:LaF<Subscript>3</Subscript> crystal

The results of experimental and numerical investigations of electromagnetically induced transparency in a Pr³⁺:LaF₃ crystal have been presented. A spectrally isolated Λ system has been made of a specially prepared medium of an ensemble of particles with an inhomogeneous width less than the hyperfine splitting of both upper and lower operating levels. A considerable increase in the transmittance with respect to an unprepared medium has been demonstrated. It has been shown that, under the experimental conditions, the transmittance is limited by the apparatus (spread of the transmission peak by the instrumental linewidth specified by the probe pulse length).     

The manipulating of electromagnetically induced transparency in Pr: Y2SiO5 crystal by a rf-driving field

We studied theoretically the effect of an additional rf-driving field on electromagnetically induced transparency (EIT) and group velocity of a probe light in Pr³⁺:Y₂SiO₅ crystal. The results show that more than one EIT widnows could be opened and their position, intensity can be controlled by the rf-driving field. The depth and position of the minimum of group velocity could also be manipulated by the rf field.     

Resonances in the pump-probe spectroscopy of Λ system in alkali atoms

We investigate resonances in the pump-probe spectroscopy of Λ configuration of levels in the hyperfine manifold of D ₂ transition of ¹³³Cs and ^a7Rb with specific reference to Autler-Townes splitting, dressed state resonances in double Λ system and electromagnetically induced transparency. As an application, a dark resonance based magnetometer is briefly discussed.     

Observation of electromagnetically induced transparency in cesium molecules

We have studied electromagnetically induced transparency (EIT) in diatomic cesium molecules in a vapor cell by using tunable diode lasers. We have observed a sub-natural Λ-resonance in absorption molecular band B ¹Π _u − X ¹Σ _g ⁺ at different cesium vapor pressures. The width of the EIT resonance shows a linear dependence on a cesium vapor pressure.     

Investigation of Transient Properties of Electromagnetically Induced Transparency with a Strong Probe Laser

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Investigation of Transient Properties of Electromagnetically Induced Transparency with a Strong Probe Laser

The transient properties of electromagnetically induced transparency (EIT) are studied with different probe pulse energies for the first time in the 3S-3P3/2-4D ladder-type three-level system of sodium atom. The EIT effect would be reduced with the increase of the probe pulse energy.Theoretical calculation is carried out by solving the time-dependent matrix equation. The experimental results agree well with the theoretical calculation.     

High contrast electromagnetically induced transparency in a nitrogen filled Rb vapour cell

We observe the electromagnetically induced transparency (EIT) spectra inside a nitrogen filled Rb vapour cell (Rb-N₂) in a five-level Λ-type system of D₂ transition of Rb atom. The high contrast EIT resonance in buffer gas filled Rb cell is obtained under our experimental conditions. The effect of velocity changing coherence preserving collisions to obtain the contrast resonance in buffer gas cell has been discussed. We measured the dependence of EIT width and height on pump intensity and find that the EIT width (FWHM) and peak height have a linear dependence on pump intensity. Our experimental results show that the presence of N2 buffer gas reduces the power broadening of the observed resonances.     

On line shape of electromagnetically induced transparency in a multilevel system

We present a detail analysis of the line shape of electromagnetically induced transparency (EIT) in a Doppler broadened five level atomic system based on density matrix formalism. It has been shown that the velocity averaged EIT line shape in a multilevel system is very sharp. The effect of the ground state decay rates on the EIT peak has also been investigated. The linear and non-linear variations of the EIT line width (FWHM) for different pump and probe power ratios are shown. Considering the D₂ transition of ⁸⁵Rb atom the dependence of EIT width and height on pump power has been experimentally measured. Simulated spectra are compared with the experimentally obtained one. The effect of buffer gas on the EIT peak has also been observed experimentally as well as theoretically.     

A high sensitivity optical gyroscope based on slow light in coupled-resonator-induced transparency

We designed ring-in-ring planar resonator which is coupled with a straight waveguide to yield coupled-resonator-induced transparency (CRIT). The model shows an obvious effect which has a direct analogy with the phenomenon of the electromagnetically induced transparency in quantum systems. Based on this structure, a high sensitive optical gyroscope for measuring absolute rotation is proposed and analyzed. Its sensitivity scales directly with the group index whose can be reached to ¹⁰²-¹⁰⁴ orders of magnitude by using proper parameters.     

Study of EIT resonances in an anti-relaxation coated Rb vapor cell

We study the sign of resonances obtained in electromagnetically induced transparency (EIT). Resonances of both kinds—bright (corresponding to enhanced absorption) and dark (corresponding to reduced absorption)—are obtained when the frequency of a probe beam is scanned. The experimental results, presented earlier, use magnetic sublevels of a hyperfine transition in the D₁ line of ⁸⁷Rb along with a magnetic field of 27 G. The atoms are contained in a vapor cell at room temperature, and with anti-relaxation coating on the walls. A quantitative theoretical model, which reproduces the experimental results quite well, is presented for the first time. The model solves the density matrix of the sublevels involved, and uses two regions—one with both the light and magnetic field, and the second without light and just a magnetic field. This ability to have both bright and dark resonances promises applications in sub- and super-luminal propagation of light.     

Optogalvanic detection of velocity-selective optical pumping in an open, cascade atomic medium

We performed two-color spectroscopy of the (4s²) ¹S₀ → (4s4p) ¹P₁ → (4p²) ¹D₂ calcium atomic transition and observed velocity-selective optical pumping in a calcium hollow cathode lamp by means of optogalvanic detection. The optical pumping signature in optogalvanic detection is compared to that of fluorescence and transmission detections. The optogalvanic technique is found to be a very sensitive method of detecting optical pumping and could be used in distinguishing optical pumping from electromagnetically induced transparency.     

Two strongly contrasting Λ-systems in the <Emphasis Type="Italic">D</Emphasis> <Subscript>1</Subscript> line of <Superscript>87</Superscript>Rb in a transverse magnetic field

Four different types of spectroscopic cells that cover all possible existing versions of sealed-off cells (containing alkali atomic vapor) characterized by drastically different relaxation rates γ_rel are used to study the electromagnetically induced transparency spectra of two Λ-systems in the D₁ line of ⁸⁷Rb in the presence of transverse magnetic field. Two cw narrowband diode-lasers are used to form the coupling laser radiation (with a fixed frequency) and the probe radiation with a tunable frequency. Two strongly contrasting Λ-systems are found: the first shows resonances that are transformed from dark resonances to bright resonances in all cases apart from nanocells, whereas the second shows four dark resonances in all four different types of cell. The theoretical simulations are in good agreement with the experimental results.     

Determination of copper content in soils and ores by laser-induced breakdown spectrometry

Features of electromagnetically induced transparency (EIT) in potassium vapors at the D₁ line of the ³⁹K isotope are studied. EIT resonances with a subnatural width of 3.5 MHz have been recorded upon excitation by two independent narrow-band diode lasers in a 1-cm-long cell filled with a natural mixture of potassium isotopes and buffer gas. The splitting of EIT resonances in potassium vapors in longitudinal and transverse magnetic fields has been studied for the first time. The splitted components also have a subnatural width. The smallness of the coupling factor of the hyperfine structure in ³⁹K atoms leads to a transition to the Paschen—Back regime at relatively weaker magnetic fields than in the case of Cs, Rb, and Na atoms. Practical applications of the phenomena under study are noted. The theoretical model well explains the experiment.