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Chinese Physics B

Reversal of electromagnetically induced transparency spectrum in an X-ray planar cavity

Xi-Yuan Wang, Li Tian-Jun, Shu-Xing Wang, Zi-Ru Ma, Bo 博 Li 李, Xin‐Chao Huang, Lin-Fan Zhu

Published Mar 23, 2026• 0 citations
Publisher

Abstract

Abstract Electromagnetically induced transparency (EIT) can greatly reduce the group velocity of light, which has extensive applications in optical sensing, optical storage, etc, and it has been widely studied in visible and microwave wavelengths. In the X-ray regime, EIT was realized in an X-ray thin-film planar cavity, while the detection of the transparency window in the reflection direction is not easy. Due to the interference between the bare cavity reflection and the nuclear resonance, the spectral line profile can be manipulated by adjusting the phases and amplitudes of different channels. By varying the thickness of the top layer, we demonstrate that in the X-ray regime, the spectral line can be transformed from a dip to a peak at the resonant window while maintaining the slow light effect. The slow light ability is evaluated by calculating the group velocity, the interaction strength, and the clarification of EIT and Autler Townes splitting (ATS). As the interaction strength increases, the X-ray cavity transitions from EIT to EIT-ATS crossover regime, which is consistent with the variation of group velocity. The present work would facilitate the detection of slow X-ray light using the cavity system and be helpful for the EIT and ATS clarification studies.

DOI
10.1088/1674-1056/ae5593

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Abstract Electromagnetically induced transparency (EIT) can greatly reduce the group velocity of light, which has extensive applications in optical sensing, optical storage, etc, and it has been widely studied in visible and microwave wavelengths. In the X-ray regime, EIT was realized in an X-ray thin-film planar cavity, while the detection of the transparency window in the reflection direction is not easy. Due to the interference between the bare cavity reflection and the nuclear resonance, the spectral line profile can be manipulated by adjusting the phases and amplitudes of different channels. By varying the thickness of the top layer, we demonstrate that in the X-ray regime, the spectral line can be transformed from a dip to a peak at the resonant window while maintaining the slow light effect. The slow light ability is evaluated by calculating the group velocity, the interaction strength, and the clarification of EIT and Autler Townes splitting (ATS). As the interaction strength increases, the X-ray cavity transitions from EIT to EIT-ATS crossover regime, which is consistent with the variation of group velocity. The present work would facilitate the detection of slow X-ray light using the cavity system and be helpful for the EIT and ATS clarification studies.
The x-ray planar cavity embedded in two nuclear ensembles at node and antinode positions with fixed spacing has been used to study the electromagnetically induced transparency (EIT)-like effect previously. In this work, the same x-ray planar cavity but with a flexible spacing configuration is studied theoretically. By developing a concise transfer matrix method, the changing of spacing is reflected conveniently as the phase shift of the propagation matrices, based on which the system can be solved analytically. A periodic characteristic as a function of the spacing is observed, i.e., the first nuclear ensemble locating at any node will result in an EIT effect while the EIT effect will be completely compressed when it is at any antinode. It indicates that the phase shift between the two nuclear ensembles plays a key role for the coupling field. This kind of phase manipulation will enrich the approaches of quantum control in the x-ray regime.
This study demonstrates a metamaterial with two coupled split-ring resonators (SRR) can exhibit an effect reminiscent of electromagnetically induced transparency (EIT), a coherent process normally observed in three-level atomic media. The coupling between two SRR induces a frequency splitting in the spectral response of the metamaterial, opening up a narrow transmission band in the centre of the absorption line. The obtained reduction in group velocity together with the low absorption is useful for a variety of slow-light applications, without the need for the extreme cooling or the large magnetic fields that are typically required for EIT in atomic systems.
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.
The optical properties of a five-level atomic system composed of a 'Lambda'-type four-level atomic and a tripod four-level atomic systems are investigated. It is found that the behaviors of electromagnetically induced transparency (EIT) and group velocity can be controlled by choosing appropriate parameters with the interacting dark resonances. In particular, when all the fields are on resonance, the slow light at the symmetric transparency windows with a much broader EIT width is obtained by tuning the intensity of the coupling field in comparison with its sub-system, which provides potential applications in quantum storage and retrieval of light.
Abstract Slow light with electromagnetically induced transparency (EIT) in the core of optical fibre containing three-level atoms is investigated. The guided modes are treated in the weakly guiding approximation which renders the analysis into a manageable form. The transparency window and permittivity profile of the core due to the strong pump field in the EIT scheme is calculated. For a specific permittivity profile of the core due to EIT, the propagation constant of the weak signal field and spatial shape of fundamental guided mode are calculated by solving the vector wave equation using the finite difference method. It is found that the transparency window and slow light field can be controlled via the optical fibre parameters. The reduced group velocity of slow light in this configuration is useful for many technological applications such as optical memories, effective control of single photon fields, optical buffers and delay lines.
In this paper, a new counter-propagation waves coupling mechanism is proposed which is expected to realize an electromagnetically induced transparency (EIT)-like effect. Comparing the travelling waves coupling mechanism (see J. Mod. Opt. 2015,62:313-320 [9]) with the counter-propagating waves coupling mechanism, we find out that the transparency window breadths of transmission spectra are greatly enhanced and the corresponding phase shift spectra possess a flat profile or a square profile. Our numerical simulated results are in good agreement with the theoretical analysis. The EIT-like effect can significantly reduce the group velocity near the edge of the square profile transparent window. We believe that the counter-propagating waves coupling mechanism is particularly beneficial for the realization of active manipulation of slow light devices (such as delay lines) required in the conventional EIT scheme. In the vicinity of the transparency peak, we can obtain a large group delay, may gain more significant potential applications in slow-light transmission and optical storage.