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Journal of Modern Optics

Distinguishing electromagnetically induced transparency and Autler–Townes splitting effects in photonic crystal nanobeam-waveguide coupled system by AIC

Tongyu Nie, Yong‐Pan Gao, Ying Hua Yang, Chao Wang, Daquan Yang, Huiping Tian

Published Sep 2, 2022• 1 citation

Abstract

In this paper, we quantitatively distinguish electromagnetically induced transparency (EIT) and Autler–Townes splitting (ATS) in a photonic crystal nanobeam cavity (PCNC)-waveguide coupled system. Akaike’s information criterion (AIC) is applied to calculate the two effects’ respective weights in the simulated transmission spectra. EIT and ATS are two phenomena that both have a transparent window in the transmission caused by different mechanisms in the atomic system. It’s difficult to distinguish these two phenomena directly from the spectrum. AIC provides a measurement distinguishing the two effects in the atomic, plasmonic, optomechanical system, etc. Based on the temporal coupled-mode theory, the theoretical model of the structure is established, and the transmission formula is deduced. Distance between the PCNC and the waveguide is varied to further explore the factors affecting the weights. The study shows great potential in precisely and quantitatively evaluating the interference of fields in future optical on-chip integration design.

DOI: 10.1080/09500340.2022.2110293

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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.

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 generally characterized and distinguished by the width of the transparency created in the absorption profile of a weak probe in presence of a strong control field. This often leads to ambiguities, as both phenomena yield similar spectroscopic signatures. However, an objective method based on Akaike’s information criterion (AIC) test offers a quantitative way to discern the two regimes when applied on the probe absorption profile. The obtained transition value of control field strength was found to be higher than the value given by pole analysis of the corresponding off-diagonal density matrix element. By contrast, we apply the test on ground state coherence and the measured coherence quantifier, which yields a distinct transition point around the predicted value even in presence of noise. Our test accurately captures the transition between two regimes, indicating that a proper measure of coherence is essential for making such distinctions.