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Journal of the Optical Society of America B

Discriminating electromagnetically induced transparency from Autler–Townes splitting in a Ξ system

Sudip K. Nath, Vaishali Naik, Alok Chakrabarti, Ayan Ray

Published Aug 28, 2019• 10 citations
Publisher

Abstract

In this work, we report on experimentally discerning Autler–Townes splitting (ATS) from electromagnetically induced transparency (EIT). Our findings are based on a Ξ (ladder) transition 5S1/2→5P3/2→5D5/2 of 87Rb atoms under different laser detuning combinations. Based on the ratio of power levels of two individual and counter-propagating lasers through a room temperature Rb vapor cell, we experiment on two different categories of Ξ configuration: types I and II. For type I, 5P3/2→5D5/2 transition is strongly driven, and we observe EIT. Type II (5S1/2→5P3/2 strongly coupled) exhibits pure ATS. Under two different two-photon detuning conditions, ATS and EIT are studied. While ATS becomes stronger near exact two-photon resonance condition, the EIT weakens. This is supported by the analysis of blue light emanating from 5D5/2→6P3/2→5S1/2 decay. The complete opposite behavior of these two phenomena at exact two-photon resonance condition can be used to clearly discern EIT from ATS.

DOI
10.1364/josab.36.002610

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In this work, we report on experimentally discerning Autler–Townes splitting (ATS) from electromagnetically induced transparency (EIT). Our findings are based on a Ξ (ladder) transition 5S1/2→5P3/2→5D5/2 of 87Rb atoms under different laser detuning combinations. Based on the ratio of power levels of two individual and counter-propagating lasers through a room temperature Rb vapor cell, we experiment on two different categories of Ξ configuration: types I and II. For type I, 5P3/2→5D5/2 transition is strongly driven, and we observe EIT. Type II (5S1/2→5P3/2 strongly coupled) exhibits pure ATS. Under two different two-photon detuning conditions, ATS and EIT are studied. While ATS becomes stronger near exact two-photon resonance condition, the EIT weakens. This is supported by the analysis of blue light emanating from 5D5/2→6P3/2→5S1/2 decay. The complete opposite behavior of these two phenomena at exact two-photon resonance condition can be used to clearly discern EIT from ATS.
Electromagnetically induced transparency (EIT) and Autler-Townes splitting (ATS) are two similar quantum coherent phenomena but have different mechanisms and applications. Akaike information criteria (AIC), an objective method to discriminate EIT and ATS from an experimental viewpoint, has been employed in a variety of systems. Here we use AIC method to quantitively discriminate a series of spectra of cold atoms in a Rydberg-involved upper-driving ladder-type. The derived weights of EIT and ATS reflect that our spectra change from EIT-ATS intermediate region to ATS-dominated region along Rabi frequency of coupling field increases. We find that there are two factors affecting EIT-ATS weights in a Rydberg-involved three-level system: dephasing rate, induced by the interactions among Rydberg atoms, makes the EIT-ATS crossover move to the direction of low Rabi frequency of coupling field and the experimental noise makes the difference between EIT and ATS weights reduce at elsewhere. Our investigation could provide a meaningful reference for the observations and applications of Rydberg-involved quantum coherent spectroscopy.
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.
Abstract In this paper, the physical origin of interferences has been explored in a four-level cascade rubidium atom by simultaneous interaction with three energies; two optical fields and one radio frequency (RF) field. The atomic system is investigated by a combination of the analytical method introduced by Zhu et al (2010 Phys. Rev. A 81 053836) and resonant pole method introduced by Anisimov (2008 J. Mod. Opt. 55 ). A substantial amount of variation in the probe absorption has been observed in various regimes. The transition from electromagnetically induced transparency (EIT) to Autler–Townes spitting (ATS) is observed. It is found that a definite threshold value exists governing the crossover from EIT to ATS. The applied analytical method gives a clear insight into the nature of interferences; one may observe EIT as a consequence of destructive interference, whereas ATS is a consequence of constructive interference. Furthermore, a transition from single EIT to double electromagnetically induced transparency has been detected when the system is illuminated by RF-driving field in weak control regime. Further, transition from ATS to double Autler–Townes splitting has been observed in the strong control regime.
Abstract Discerning electromagnetically induced transparency (EIT) from Autler–Townes splitting (ATS) is a significant issue in quantum optics and has attracted wide attention in various three-level configurations. Here we present a detailed study of EIT and ATS in a five-level atomic system considered to be composed of a four-level Y-type subsystem and a three-level Λ-type subsystem. In our theoretical calculations with standard density matrix formalism and steady-state approximation, we obtain the general analytical expression of the first-order matrix element responsible for the probe-field absorption. In light of the well-known three-level EIT and ATS criteria, we numerically show an intersection of EIT with ATS for the Y-type subsystem. Furthermore, we show that an EIT dip is sandwiched between two ATS dips (i.e., multi-dip mixture of EIT and ATS) in the absorption line for the five-level system, which can be explained by the dressed-state theory and Fano interference.
Autler-Townes splitting (ATS) and electromagnetically induced transparency (EIT) both yield transparency in an absorption profile, but only EIT yields strong transparency for a weak pump field due to Fano interference. Empirically discriminating EIT from ATS is important but so far has been subjective. We introduce an objective method, based on Akaike's information criterion, to test ATS vs EIT from experimental data for three-level atomic systems and determine which pertains. We apply our method to a recently reported induced-transparency experiment in superconducting-circuit quantum electrodynamics.
Electromagnetically induced transparency (EIT) and Autler-Townes splitting (ATS) are two phenomena that can affect the transmission of a probe field in the presence of a stronger field, both yielding transparency in the absorption profile. Being able to discriminate these two similar but distinct phenomena is of vital importance. Here we propose a scheme to describe the EIT and ATS phenomena in a plasmonic system. The proposed system consists of one radiative resonator and one subradiant resonator in metal-insulator-metal waveguide, and the transition is observed from the ATS model to the EIT model through three qualitative regions as the coupling strength decreases. In addition, we apply the method proposed by Anisimov to the induced transparency spectrum in our model, and numerically discerning EIT from ATS based on the Akaike's information criterion in a clear way.