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Journal of Modern Optics

Effect of incoherent pumping field on the optical properties of probe field in a Rydberg atom-based quantum antenna for THz field detection based on EIT

Jalil Shiri, Seyyed Hossein Asadpour

Published Mar 26, 2025• 0 citations
Publisher

Abstract

We provide theoretical demonstration of a quantum antenna based on Rydberg atoms for detection of THz field. We investigate optical properties of Rydberg cesium atoms based on electromagnetically induced transparency (EIT) for four-level excitation scheme. In this quantum system, probe and coupling fields applied between levels 6S1/2→6P3/2 (D2 transition of 133Cs) and 6P3/2→20D5/2, respectively. One E-field at THz frequency (1.026THz) drives the 20D5/2→22P3/2 Rydberg transition of caesium atoms. We study effect of intensity of the coupling and THz fields on the optical properties of the probe light. We find that the absorption of the probe light through the atomic vapour cell efficiently affected by the intensity of the THz and coupling fields. Moreover, the effect of the incoherent pumping field on the EIT resonance in the presence of the THz field is also investigated. The proposed model is of major significance for THz detection based on Rydberg atoms – based quantum antenna via incoherent pumping field. In this paper, different technology based on incoherent pumping field is presented to enhance the detection accuracy and efficiency, hoping to inspire more possibilities in the improvement of metrics of Rydberg atom-based electric field sensing and broadness of application scenarios.

DOI
10.1080/09500340.2025.2480130

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We provide theoretical demonstration of a quantum antenna based on Rydberg atoms for detection of THz field. We investigate optical properties of Rydberg cesium atoms based on electromagnetically induced transparency (EIT) for four-level excitation scheme. In this quantum system, probe and coupling fields applied between levels 6S1/2→6P3/2 (D2 transition of 133Cs) and 6P3/2→20D5/2, respectively. One E-field at THz frequency (1.026THz) drives the 20D5/2→22P3/2 Rydberg transition of caesium atoms. We study effect of intensity of the coupling and THz fields on the optical properties of the probe light. We find that the absorption of the probe light through the atomic vapour cell efficiently affected by the intensity of the THz and coupling fields. Moreover, the effect of the incoherent pumping field on the EIT resonance in the presence of the THz field is also investigated. The proposed model is of major significance for THz detection based on Rydberg atoms – based quantum antenna via incoherent pumping field. In this paper, different technology based on incoherent pumping field is presented to enhance the detection accuracy and efficiency, hoping to inspire more possibilities in the improvement of metrics of Rydberg atom-based electric field sensing and broadness of application scenarios.
Broadband and sensitive terahertz (THz) detectors are essential for advancing applications in THz technology. Rydberg atoms were proven to be a promising THz detector, but its detection bandwidth and sensitivity still remain challenging. In this paper, a four-level cesium Rydberg atom system was designed, and it can be operated using electromagnetically induced transparency (EIT). Above all, a high-performance THz detection scheme was demonstrated by introducing frequency detuning of the THz wave relative to the atomic resonance and analyzing the asymmetric splitting between the EIT main peak and the off-resonant Autler–Townes (AT) peak. This method exploits the linear dependence of Rydberg eigenfrequencies on THz detuning and allows us to resolve weak THz electric fields even in the nonlinear regime. Furthermore, the probe laser power was found to influence the EIT signal, with low power producing a narrow but weak signal and high power yielding a stronger yet broader signal; therefore, under a probe power of 20 μW, a minimum detectable field of 2.43 V/m at 108.9 GHz was achieved, while a probe power of 500 μW allowed the detection bandwidth to be extended to 14 GHz. That means that the sensitivity was improved by 50% and the bandwidth was improved by three orders compared with the conventional EIT–AT method. Theoretical modeling results based on the Lindblad master equation are consistent with the experimental results. This frequency-detuning-based strategy offers a physically traceable and scalable approach to advancing quantum-enhanced THz sensing under ambient conditions.
Rydberg atoms are highly excited atoms with large principal quantum number n, big sizes (~n2) and long lifetimes (~n3). Rydberg atoms are very sensitive to an external field due to the large polarizabilities of Rydberg atoms (~n7). Electromagnetically induced transparency (EIT) of Rydberg atom provides an ideal method to detect Rydberg atoms without destroying atoms, and can be used to measure the external direct current and radio frequency (RF) field. In this paper, we study the EIT effect of a cesium ladder-type three-level atom involving Rydberg state exposed to a weak RF field. The ground state (6S1/2), the excited state (6P3/2) and Rydberg state (48D5/2) constitute the Rydberg three-level system, in which the probe laser couples 6S1/2(F=4)6P3/2(F'=5) transition, whereas the coupling laser scans across the 6P3/248D5/2 Rydberg transition. The coupling laser (510 nm laser, propagating in the z-axis direction and linear polarization in the y-axis direction) and the probe laser (852 nm laser, linear polarization in the y-axis direction) counter-propagate through a 50-mm-long cesium vapor cell at room temperature, yielding Rydberg EIT spectra. Rydberg EIT signal is detected as a function of the detuning of the coupling laser. When a weak RF (80 MHz) electric field polarized in the x-axis direction is applied to a pair of electrode plates located on both sides of the cesium cell, the EIT spectrum of Rydberg 48D5/2 shows the Stark splitting and the even order harmonic sidebands. The experimental results are analyzed by using the Floquet theory. The simulation results accord well with the experimentally measured results. Furthermore, we also investigate the influence of the self-ionization effect of Rydberg atom on the Stark spectrum by changing the RF frequency. We put forward a proposal to avoid the effect of ionization by placing electrode plates in the cesium cell. In the weak RF-field domain, mj=5/2 Stark line crosses mj=1/2, 3/2 sidebands, these cross points provide an antenna-free method of accurately calibrating the RF electric field based on Rydberg atoms.
As terahertz (THz) technology rapidly develops, room temperature THz detectors with high sensitivity and wide bandwidth are urgently required. Rydberg atoms are very sensitive to external electric fields, and offer a promising approach for THz detection with exceptional sensitivity. In this paper, we propose a method for measuring the THz field with the frequency of 0.17 THz using 85Rb Rydberg atoms. By analyzing the probe laser transmission spectrum and atomic population, the electromagnetically induced transparency (EIT) and Autler-Townes (AT) splitting effect are explained by the presence and splitting of the Rydberg dark states; the THz field, coupling laser and probe laser play a crucial role in the EIT signal; and the EIT spectral transmission will increase when the atomic population of the excited state decreases. Moreover, a method was demonstrated to improve the THz detection sensitivity by changing the eigenfrequencies of the Rydberg dark states with THz detuning. This work finds the relationship between EIT-AT effect and atomic population of Rydberg atoms caused by THz wave and provides what we believe to be a new method to improve the detection efficiency.
In recent years, terahertz (THz) technology has made significant progress in numerous applications; however, the highly sensitive, room-temperature THz detectors are still rare, which is one of the bottlenecks in THz research. In this paper, we proposed a room-temperature electrometry method for THz detection by laser spectroscopy of cesium ( Cs 133) Rydberg atoms, and conducted a comprehensive investigation of the five-level system involving electromagnetically induced transparency (EIT), electromagnetically induced absorption (EIA), and Autler–Townes (AT) splitting in Cs 133 cascades. By solving the Lindblad master equation, we found that the influence of the THz electric field, probe laser, dressing laser, and Rydberg laser on the ground state atomic population as well as the coherence between the ground state and the Rydberg state, plays a crucial role in the transformation and amplitude of the EIT and EIA signals. Temperature and the atomic vapor cell’s dimensions affect the number of Cs 133 atoms involved in the detection, and ultimately determine the sensitivity. We predicted the proposed quantum coherence THz detection method has a remarkable sensitivity of as low as 10 −9 V m −1 Hz −1/2 . This research offers a valuable theoretical basis for implementing and optimizing quantum coherence effects based on Rydberg atoms for THz wave detection with high sensitivity and room-temperature operation.
Abstract We present the electromagnetically induced transparency (EIT) spectra of cold Rydberg four-level cascade atoms consisting of the 6S1/2 → 6P3/2 → 7S1/2 → 60P3/2 scheme. A coupling laser drives the Rydberg transition, a dressing laser couples two intermediate levels and a weak probe laser probes the EIT signal. We numerically solve the Bloch equations and investigate the dependence of the probe transmission rate signal on the coupling and dressing lasers. We find that the probe transmission rate can display an EIT or electromagnetically induced absorption (EIA) profile, depending on the Rabi frequencies of the coupling and dressing lasers. When we increase the Rabi frequency of the coupling laser and keep the Rabi frequency of the probe and dressing laser fixed, flipping of the EIA to EIT spectrum occurs at the critical coupling Rabi frequency. When we apply a microwave field coupling the transition 60P3/2 → 61S1/2, the EIT spectrum shows Autler–Townes splitting, which is employed to measure the microwave field. The theoretical measurement sensitivity can be 1.52 × 10−2 nV⋅cm−1⋅Hz−1/2 at the EIA–EIT flipping point.
The large electric dipole moment of the Rydberg atom allows for strong coupling with weak electric fields, and is widely used in electric field measurements because of its reproducibility, precision and stability. The combination of Rydberg atoms and electromagnetically induced transparency (EIT) technology has been used for detecting and characterizing radio-frequency (RF) electric fields. In this work, by selecting probe light (852 nm), dressed light (1470 nm), and coupled light (780 nm), the Rydberg state (49P3/2) of Cs atom is prepared by using a three-photon excitation scheme through using all-infrared light excitation of Rydberg atoms. We experimentally observe the EIT spectra of the Rydberg states decorated by radio-frequency electric fields, which optically detects Rydberg atoms. The effect of the amplitude and frequency of the RF electric field on the spectrum is explored in light of changes in the EIT spectrum. The results show that in the region of weak electric field, only the ac Stark energy shift and spectral broadening occur. As the electric field is further enhanced, the sideband phenomenon occurs in both the primary peak and secondary peak of the EIT. In the region of strong field, the Rydberg energy level produces a series of Floquet states with higher-order terms, as well as state shifting and mixing, resulting in asymmetry in the spectra of the EIT sideband peaks. The effect of frequency on the shielding effect of the Cs vapor cell is further discussed based on the shift of the main peak of the EIT. The demodulation of the electric field in a range of 50 Hz–1 kHz with a fidelity of 95% is achieved by modulating the low-frequency electric field to the RF electric field. The results can provide valuable references for spectral detection and traceable measurements of low-frequency electric fields.