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Journal of the Optical Society of America B

Influence of intra-cavity photons and Rydberg interactions on microwave electric field sensing in an atom–cavity coupled system

Aparajita Das, Md. Mabud Hossain, Jayanta K. Saha

Published Jan 21, 2025• 0 citations
Publisher

Abstract

The effects of Rydberg interactions, such as van der Waals and dipole–dipole interactions, on the probe absorption, cavity transmission, and reflection in a microwave (MW)-mediated pump–probe laser-driven atom–cavity system are theoretically investigated. The results demonstrate that the nonlinear probe absorption is enhanced by increasing intra-cavity photon numbers and is significantly influenced by the external MW field. Notably, the presence of the MW field alters the characteristics of Autler–Townes (AT) peaks in the absorption spectra and modifies the transmission windows in the cavity-transmitted or reflected intensity profiles. These alterations may facilitate the optimization of Rydberg atom-based MW sensing in atomic environments. Furthermore, we show that the variations in cavity length can considerably affect the smallest detectable MW electric field. The resolution of transmitted and reflected signals is improved under the strong pump field condition. Finally, an MW electric field measurement technique based on the phases of cavity-transmitted and reflected light is proposed, considering the influence of Rydberg interactions.

DOI
10.1364/josab.544554

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The effects of Rydberg interactions, such as van der Waals and dipole–dipole interactions, on the probe absorption, cavity transmission, and reflection in a microwave (MW)-mediated pump–probe laser-driven atom–cavity system are theoretically investigated. The results demonstrate that the nonlinear probe absorption is enhanced by increasing intra-cavity photon numbers and is significantly influenced by the external MW field. Notably, the presence of the MW field alters the characteristics of Autler–Townes (AT) peaks in the absorption spectra and modifies the transmission windows in the cavity-transmitted or reflected intensity profiles. These alterations may facilitate the optimization of Rydberg atom-based MW sensing in atomic environments. Furthermore, we show that the variations in cavity length can considerably affect the smallest detectable MW electric field. The resolution of transmitted and reflected signals is improved under the strong pump field condition. Finally, an MW electric field measurement technique based on the phases of cavity-transmitted and reflected light is proposed, considering the influence of Rydberg interactions.
An enhanced measurement of the microwave electric (MW E) field by using intracavity Rydberg atoms is proposed. Based on electromagnetically induced transparency (EIT), the intracavity atomic system exhibits two EIT windows, resulting in two narrow peaks in the cavity transmission. The peak-to-peak distance is sensitive to MW fields and can be used to probe MW E-field strength. Simulation results show that the detectable minimum strength of the MW fields is nearly eight times smaller than that without a cavity. Due to cavity coupling, the transmission spectrum is greatly narrowed, which improves the measurement resolution substantially. The numerical results show that the spectrum resolution is increased by more than 20 times. Furthermore, the cavity-enhanced measurement scheme seems to be robust against the changes in the control field strength and shows a broadband tunability.
We have shown that Rydberg states can be used for high-sensitivity, absolute sensing of microwave (MW) electric fields. We achieved a sensitivity of 3 μVcm-1Hz-1/2 for two read-out strategies. Depending on the spectral resolution of the read-out, either the MW induced transmission line frequency splitting, the Autler-Townes regime, or a change in the on-resonant absorption, the amplitude regime, can be used to determine the MW electric field. Results using a Mach-Zehnder interferometer and frequency modulated spectroscopy both achieve similar photon shot noise limited sensitivity. In addition, we have also explored amplitude modulation and the displacement of a probe laser beam due to index of refraction changes in a prism shaped vapor cell. These latter methods were not able to achieve photon shot noise limited performance. Fundamental limits to the sensitivity of the Rydberg atom-based MW electric field sensing have been addressed, but it is important to clarify the differences between noise in different parts or subsystems of the sensor. Shot noise in the probe laser usually dominates the projection noise of the atoms participating in the measurement of the MW electric field because of the desire to operate at low effective Rydberg atom densities in order to avoid collisional dephasing and ionization.
This study addresses the restrictions imposed by nonlocal van der Waals (vdW) and dipole-dipole (DD) interactions on the microwave electrometry in cold Rydberg atoms driven into the four-level cascade configuration with relatively high excitation densities. Utilizing the mean-field superatom model, we examine, in particular, the effects of vdW and DD interactions on microwave-controlled transmission spectra of a probe field in the regime of electromagnetically induced transparency (EIT). In response to spectral shifts depending on such Rydberg interactions, we propose a modified formula for correctly describing the nonlinear relationship between the microwave electric field and the splitting of two EIT peaks, which could enhance the measurement accuracy. This formula also extends the lower limit set by a certain measurement accuracy into the nonlinear response region by approximately five times, effectively mitigating the restrictions imposed by vdW and DD interactions. Our findings suggest that an accurate measurement of weak microwave electric fields could be achieved under both high and low-density conditions through data correction, yet without altering the experimental method. This research provides an alternative solution for microwave electrometry in weakly interacting atomic gases and highlights its potential applications in integrated quantum devices.
We report a scheme for enhancing microwave electric field measurement by cavity-assisted Rydberg electromagnetically induced transparency in the 87Rb coherent atomic system. The vacuum Rabi splitting appears when the probe field is strongly coupled with intracavity atoms. The cavity-assisted electromagnetically induced transparency with dual-peak profile is observed as a strong coupling laser is further introduced into the optical ring cavity. The optimal atomic density, resulting in an appropriate vacuum Rabi splitting interval and cavity-assisted electromagnetically induced transparency amplitude, is determined for the coupling effect criterion of the probe field and intracavity atoms. Finally, the cavity-assisted electromagnetically induced transparency is employed to accurately measure the microwave electric field strength, and a measurement sensitivity factor of about 2 is improved owing to an enhanced photon–atom interaction. This study is beneficial for the development of compact, broadband, and self-calibrating microwave receivers.
The collective effects of intracavity Rydberg atoms are investigated and proposed to detect microwave (MW) electric (E) fields with collective Rabi splitting (CRS). When a cavity field drives atoms from ground states to their excited states and a control field further drives them to Rydberg states where a MW field couples Rydberg states, the cavity transmission exhibits a four-peak characteristic, and two side peaks represent the CRS. It is interesting to find that the frequency splitting of CRS changes linearly with the MW-field strength, which can be used to probe MW E-field strength. In the strong coupling regime, the collective effect of Rydberg atoms broadens the CRS peak distance and could improve the detection sensitivity by about 7 times under the given conditions, compared with the common electromagnetically induced transparency scheme. The effects of atomic density and control-field strength on the CRS spectrum are also discussed.
The Rydberg-based microwave detection is an all-optical technology that uses the strong coherent interaction between Rydberg atoms and microwave field. Different from the traditional microwave meter, the Rydberg atomic sensing is a new-type microwave detector that transforms the microwave spectrum into a coherent optical spectrum, and arouses increasingly the interests due to its high sensibility. For this kind of sensor, the coherence effect induced by coupling atoms with microwave plays a key role, and the decoherence may reduce the sensitivity. A multi-level Rydberg atomic scheme with optimized quantum coherence, which enhances both the bandwidth and the sensitivity for 4 GHz microwave sensing, is demonstrated experimentally in this work. The enhanced quantum coherence of Rydberg electromagnetically induced transparency (EIT) and microwave induced Autler-Townes (AT) splitting in EIT windows are shown using optical pumping at D1 line. The enhanced sensitivity at 3.4 GHz with 0.3 GHz bandwidth can be realized, based on the enhanced EIT-AT spectrum. The experimental results show that in the stepped Rydberg EIT system, the spectral width of EIT and microwave field EIT-AT can be narrowed by optical pumping (OP), so the sensitivity of microwave electric field measurement can be improved. After optimizing the EIT amplitude and adding single-frequency microwaves, the sensitivity of the microwave electric field measurement observed by the AT splitting interval is improved by 1.3 times. This work provides a reference for utilizing atomic microwave detection.