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Journal of the Optical Society of America B

Influence of dephasing on the Akaike-information- criterion distinguishing of quantum interference and Autler–Townes splitting in coherent systems

Jinhong Liu, Jinze Wu, Yueying Zhang, Yanyan He, Junxiang Zhang

Published Dec 4, 2019• 6 citations
Publisher

Abstract

Electromagnetically induced transparency is a quantum interference (QI) effect in a coherent system, in which the similar but distinct effect of Autler–Townes splitting (ATS) without QI also happens concurrently. The Akaike information criterion (AIC) has been proven to be an efficient and objective method to discern them by evaluating their relative AIC weights for different Rabi frequencies of the coupling field. Here, we investigate in detail the influence of the dephasing effect on the AIC weights of QI and ATS, and present the transition among destructive QI, constructive QI, and ATS without QI by controlling the dephasing rates. By comparing the effects of different dephasing rates on the QI and ATS weights, we show that the field-phase-diffusion dephasing provides more feasibility than the atom-collision dephasing in control of QI and ATS. Therefore, precise and selective dephasing engineering can be realized by manipulating the linewidths and phase correlation of the fields. This indicates that various collision-related effects (e.g., collision-dephasing-induced coherences) can be experimentally studied using more controllable field-phase-diffusion dephasing instead of buffer-gas-controlling collision dephasing.

DOI
10.1364/josab.37.000049

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Electromagnetically induced transparency is a quantum interference (QI) effect in a coherent system, in which the similar but distinct effect of Autler–Townes splitting (ATS) without QI also happens concurrently. The Akaike information criterion (AIC) has been proven to be an efficient and objective method to discern them by evaluating their relative AIC weights for different Rabi frequencies of the coupling field. Here, we investigate in detail the influence of the dephasing effect on the AIC weights of QI and ATS, and present the transition among destructive QI, constructive QI, and ATS without QI by controlling the dephasing rates. By comparing the effects of different dephasing rates on the QI and ATS weights, we show that the field-phase-diffusion dephasing provides more feasibility than the atom-collision dephasing in control of QI and ATS. Therefore, precise and selective dephasing engineering can be realized by manipulating the linewidths and phase correlation of the fields. This indicates that various collision-related effects (e.g., collision-dephasing-induced coherences) can be experimentally studied using more controllable field-phase-diffusion dephasing instead of buffer-gas-controlling collision dephasing.
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.
We investigate the manipulation of the quantum interference (QI) in an electromagnetically induced transparency (EIT) system via phase fluctuations and their correlation of interacting fields. We show that the field fluctuation correlation and atomic dephasing rate have a similar effect to atomic coherence, and furthermore that QI is dependent on the fluctuation and correlation. Using the theoretical model in a dressed-state representation, the contribution of QI and Autler-Townes splitting (ATS) to probe absorption can be expressed in separate terms, such that the obvious enhancement of QI is found with highly correlated fields while ATS remains unchanged. In particular, when the relative large Rabi frequency of coupling field is applied, in which case the ATS plays a more prominent role than QI, we can still modulate the QI to be higher than ATS with correlated fields. This result could allow the strict EIT condition to be relaxed and be easily realized, or it may be a method to get a narrow EIT window for applications in efficient light storage and quantum interface.
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.
The atom-light interaction in a three-level system has shown significant physical phenomena, such as electromagnetically induced transparency and Autler{Townes splitting (ATS), for broad applications in classical and quantum information techniques. Here, we optimally demonstrated the ATS with a quantum state manipulation method. The ATS in the dephasing-dominated diamond NV center system was successfully recovered by coherent microwave control, which cannot be observed with traditional method. The dynamical process of ATS was investigated in detail, revealing a nontrivial quantum interference with geometric phase modulations. Based on the quantum interference, the signal of the optimal ATS is twice as intense as those with traditional observation method.
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.