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Photonics

Sensitivity Improvement and Determination of Rydberg Atom-Based Microwave Sensor

Minghao Cai, Zi-Shan Xu, Shuhang You, Hongping Liu

Published Apr 10, 2022• 75 citations
Publisher

Abstract

We present a theoretical and experimental investigation of the improvement and determination of the sensitivity of Rydberg atom-based microwave RF sensor. An optical Bloch equation has been set up based on the configuration that two-color cascading lasers exciting atom to highly Rydberg state and a microwave RF coupling this Rydberg state to its adjacent neighbor. The numerical simulation shows that the sensitivity of the atomic RF sensor is correlated with the amplitude strengths of the applied two lasers and the RF itself. It also depends on the frequency detuning of the coupling laser, which induces an asymmetrically optical splitting. The coupling laser frequency fixing at the shoulder of the stronger one is more favorable for a higher sensitivity. Accordingly, we perform an experimental demonstration for the optimization of all these parameters and the sensitivity is improved to 12.50(04) nVcm−1·Hz−1/2.

DOI
10.3390/photonics9040250

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We present a theoretical and experimental investigation of the improvement and determination of the sensitivity of Rydberg atom-based microwave RF sensor. An optical Bloch equation has been set up based on the configuration that two-color cascading lasers exciting atom to highly Rydberg state and a microwave RF coupling this Rydberg state to its adjacent neighbor. The numerical simulation shows that the sensitivity of the atomic RF sensor is correlated with the amplitude strengths of the applied two lasers and the RF itself. It also depends on the frequency detuning of the coupling laser, which induces an asymmetrically optical splitting. The coupling laser frequency fixing at the shoulder of the stronger one is more favorable for a higher sensitivity. Accordingly, we perform an experimental demonstration for the optimization of all these parameters and the sensitivity is improved to 12.50(04) nVcm−1·Hz−1/2.
A highly excited Rydberg atom via electromagnetically induced transparency with two color cascading lasers has extreme sensitivity to electric fields of microwave ranging from 100 MHz to over 1 THz. It can be used as susceptible atom-based microwave communication antennas where the carrier wave usually works exactly resonant to the transition between a pair of adjacent Rydberg states with large electric dipole moment. A technique of superheterodyne with a strong on-resonant local microwave oscillator is employed to induce considerable Autler-Townes splitting where the antennas has a highest dynamic response to another weak target signal microwave carrier. To further improve the sensitivity of atomic antenna in communication, we detune the carrier microwave frequency off resonance forming an asymmetrically optical splitting and fix the coupling laser frequency at the shoulder of the stronger one, and optimize the local field strength simultaneously. It gives a sensitivity of 12.50(04) nVcm−1⋅Hz−1/2\rm{nVcm^{-1}\cdot Hz^{-1/2}}nVcm−1⋅Hz−1/2. Its enhancement mechanism of sensitivity is also proved by a theoretical simulation.
The Rydberg atom-based microwave electric field sensor has high sensitivity for weak RF-field detection. Selection of Rydberg states with larger electric dipole moment is beneficial to enhance the sensitivity, and we choose Rydberg states with its principal quantum number up to n ∼ 80. We study the probe laser transmission response to a microwave field for these chosen high Rydberg states at room temperature. It agrees well with theoretical simulation based on an optical Bloch equation with considered microwave-atom interaction and Doppler broadening effect. In our experiment, the microwave sensing sensitivity based on 85 Rb transition | 78 S 1 / 2 ⟩ → | 78 P 3 / 2 ⟩ arrives at 5.102(49) nV cm − 1 Hz − 1 / 2 at 1 kHz.
Quantum Rydberg atom-based radio frequency (RF) sensors exploit the exceptional sensitivity of highly excited atomic states to detect electromagnetic fields with very high precision, offering potential advances in telecommunications, radar and microwave radiometer systems, GNSS-Reflectometers, and electromagnetic compatibility testing. This study presents a detailed MATLAB simulation analysis of radio-frequency sensors modeled as a five-level rubidium-87 (Rb-87) system under the influence of RF and optical fields. The simulation leverages the Lindblad master equation to capture the coherent evolution, the spontaneous emission, the collisional dephasing, and the field-induced ionization. For an external RF electric field of E0 = 100 mV/m, a frequency sweep from 10MHz to 10GHz reveals the impact of noise: an ideal case just limited by quantum noise yields a sensitivity of 0.01 µV/m/ v Hz and a SNR of 177dB, while for E0 = 10 mV/m and a realistic noise (-130 dBm/Hz) the sensitivity worsens to 72 - 633 µV/m/ v Hz and a SNR of 72 dB. The study investigates the effects of RF field amplitude, atom density, and environmental parameters such as residual magnetic field and ambient temperature, in the sensitivity and bandwidth of these promising receivers, offering a framework to optimize Rydberg-based sensing technologies for Earth Observation, Communication and Navigation systems.
High sensitivity detection of microwave signals is important for communication systems. The sensitivity of Rydberg atomic sensors at the standard quantum limit has great advantages over conventional systems, but the actual experimental systems has not reached such level yet. We provide an optimization method to improve the sensitivity of Rydberg atomic sensors based on the four-level model based on frequency detuning. It was numerically demonstrated that both the microwave field detuning and laser power settings can improve the sensitivity of the system.
Measurement sensitivity is crucial for the practical application of Rydberg atomic microwave superheterodyne receiver systems in communication, radar, and navigation. Based on laser-atom-microwave interaction mechanisms, the influence of laser powers and local-oscillator (LO) microwave field intensity on measurement sensitivity is systematically studied in this paper. Measurement sensitivity is analyzed through electromagnetically induced transparency (EIT) spectral characteristics, specifically EIT amplitude and full-width-half-maximum (FWHM),larger amplitudes and narrower FWHM indicate improved signal-to-noise ratios. For a 60D-state Rydberg atomic system with fixed probe and coupling laser beam waists (800 µm and 875 µm), optimal parameters are determined: probe laser power of 60 µW(Rabi frequency: 2π×7.02 MHz), coupling laser power of 40 mW (Rabi frequency: 2π×0.66 MHz), and LO microwave Rabi frequency of 2π×8.34 MHz. Experimental results demonstrate a 4.6 dB sensitivity enhancement, advancing from −137.5dBm/Hz to −142.1 dBm/Hz at 3.21 GHz microwave field. This improvement is attributed to precise alignment of laser-atom and microwave-atom interactions, bridging the gap toward quantum sensitivity limits.
Abstract We investigate the sensitivity of a Rydberg atom-based microwave sensor under two polarization configurations as a function of local oscillator (LO) microwave field strength. By employing parallel and perpendicular alignments of laser and microwave polarizations in our experimental setup, we study the Autler–Townes (AT) splitting spectrum and optical response of probe transmission, and analyze their sensing effects. The results show that the parallel polarization configuration offers higher gain and better sensitivity than the perpendicular configuration. We achieve a sensitivity of 4.150(69) nV⋅cm−1⋅Hz−1/2 at an LO microwave field strength of 1.74 mV/cm. This work demonstrates the significant role of polarization alignment on the performance of Rydberg atom-based microwave sensors.