We theoretically and experimentally investigated the fluorescence and transmission readouts of radio-frequency (RF) electrometry based on three-photon-excited Rydberg atoms. We developed a theoretical model for the fluorescence and transmission readout processes of a three-photon-excited Rydberg atom electrometer and performed a qualitative comparative analysis of fluorescence versus probe transmission readouts. Theoretical calculations revealed that while both fluorescence and probe transmission readouts can employ Autler-Townes (AT) splitting to measure strong RF fields, probe transmission readouts become ineffective in weak-field regimes, whereas fluorescence readouts remain sensitive to weak RF fields. Experimentally, we comprehensively characterize the fluorescence response across a wide range of RF field strengths: from the weak-field regime (exhibiting scaling of fluorescence peak amplitude with RF field strength), through the intermediate-field regime (where fluorescence spectral linewidth scales proportionally with RF field strength), to the strong-field regime (characterized by traditional A-T splitting). Furthermore, by adding a narrow slit in front of the photomultiplier tube (PMT) and scanning the slit together with the PMT along the light beam propagation, we exploit fluorescence's inherent spatial information to directly map the Rydberg excitation profile and local RF field strength. This overcomes the transmission readout's inherent limitation of providing only path-integrated signals along the probe beam, even by imaging the probe beam with a CCD camera. Our results establish fluorescence readouts as a superior technique for three-photon Rydberg electrometry, offering enhanced wide-range RF field sensing and direct spatial field mapping.
We theoretically and experimentally investigated the fluorescence and transmission readouts of radio-frequency (RF) electrometry based on three-photon-excited Rydberg atoms. We developed a theoretical model for the fluorescence and transmission readout processes of a three-photon-excited Rydberg atom electrometer and performed a qualitative comparative analysis of fluorescence versus probe transmission readouts. Theoretical calculations revealed that while both fluorescence and probe transmission readouts can employ Autler-Townes (AT) splitting to measure strong RF fields, probe transmission readouts become ineffective in weak-field regimes, whereas fluorescence readouts remain sensitive to weak RF fields. Experimentally, we comprehensively characterize the fluorescence response across a wide range of RF field strengths: from the weak-field regime (exhibiting scaling of fluorescence peak amplitude with RF field strength), through the intermediate-field regime (where fluorescence spectral linewidth scales proportionally with RF field strength), to the strong-field regime (characterized by traditional A-T splitting). Furthermore, by adding a narrow slit in front of the photomultiplier tube (PMT) and scanning the slit together with the PMT along the light beam propagation, we exploit fluorescence's inherent spatial information to directly map the Rydberg excitation profile and local RF field strength. This overcomes the transmission readout's inherent limitation of providing only path-integrated signals along the probe beam, even by imaging the probe beam with a CCD camera. Our results establish fluorescence readouts as a superior technique for three-photon Rydberg electrometry, offering enhanced wide-range RF field sensing and direct spatial field mapping.
We have shown that Rydberg atoms can be used for high-sensitivity, absolute sensing of radio frequency (RF) electric fields. We achieved a sensitivity of 3 μVcm-1Hz-1/2 for two read-out strategies. Results using a Mach-Zehnder interferometer2 and frequency modulated spectroscopy both achieve similar photon shot noise limited sensitivity. Fundamental limits to the sensitivity of the Rydberg atom-based RF electric field sensing have been addressed. Depending on the spectral resolution of the read-out, either the RF 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 RF electric field. Here, we present theoretical results of a 3-photon read-out scheme which enables the Autler-Townes regime of Rydberg atom-based RF electrometry to be extended to lower RF electric field strengths. We show that the residual Doppler shifts can, in principle, be reduced to ~11.8 kHz, on the order of the Rydberg atom natural lindewidths, using the approach.
Rydberg atoms are neutral atoms excited to high principal quantum number states, which endows them with exaggerated properties such as large electric dipole moments, long lifetimes, and extreme sensitivity to external electromagnetic fields. These characteristics form the foundation of Rydberg atom-based sensors, an emerging class of quantum devices capable of optically detecting electric fields across frequencies from DC to the terahertz regime. Rydberg-based electrometry operates through both Autler–Townes (AT) splitting of resonant Rydberg transitions and Stark-shift measurements for high-frequency or far-detuned fields, enabling broadband field sensing from DC to the THz regime. Using ladder-type electromagnetically induced transparency (EIT) and AT splitting, these sensors enable non-invasive, SI-traceable measurements of field amplitude, frequency, phase, and polarization. Recent developments have demonstrated broadband electric field probes, voltage calibration standards, and compact RF receivers based on thermal vapor cells and integrated photonic architectures. Furthermore, innovations in multi-photon EIT, superheterodyne readout, and multi wave mixing have expanded the dynamic range and bandwidth of Rydberg-based electrometry. Despite challenges related to environmental perturbations, linewidth broadening, and laser stabilization, ongoing advances in atomic control, hybrid photonic integration, and EIT-based readout promise scalable, chip-compatible sensors. This review summarizes the physical principles, experimental progress, and emerging applications of Rydberg atom-based sensing, emphasizing their potential for next generation quantum metrology, wireless communication, and precision field mapping.
We describe experiments relevant to Rydberg atom-based sensing. In Rydberg atom-based sensing, atoms contained in a vapor cell are used as a probe of an incident radio frequency electric field. We present a novel approach based on a collinear three-photon read-out and detection scheme, which extends the sensing range of the self-calibrated Autler-Townes sensing mode to lower electric field strengths. We demonstrate proof of concept and present concrete results from first experiments. We show that we are able to measure electric field strengths below 1 mV/cm in the self-calibrated Autler-Townes regime for a radial dipole moment of 2206 ea0for a transition at 10.7 GHz. We measure an Autler-Townes splitting of 503(6) kHz, which is equivalent to a radio frequency electric field strength of micro-V/cm.
In this work, theoretical and experimental works on Rydberg-atom based radio-frequency (RF) sensors are presented. The results were obtained in close collaboration with the Quantum Valley Ideas Lab, whose goal is the miniaturization and prototyping of these sensors. The Rydberg-atom based RF sensors utilize lasers to coherently excite an atomic vapor in a vapor cell at room temperature to a highly excited Rydberg state, which is extremely sensitive to external environmental influences. In this work, Rydberg-atom based RF sensing is described as coherent multi-photon interference in the atom-light coupled system by introducing atom-light coherences. The presence of the RF wave influences the absorption of a probe laser propagating through the atomic medium. The atomic response of the Rydberg-atoms can be engineered by changing the atom-light coherences through laser power and frequency. Analytic expressions for the atomic response to the incident RF wave are derived in the weak probe limit and provide a deeper understanding of the underlying coherent multi-photon interference processes, which help to further tailor the Rydberg-atom for the purpose of the application. Good agreement with full numerical simulations of the Lindblad-master equation is found. An analysis of the various Doppler limits strongly motivates an excitation scheme where the effective wave vector mismatch on the Rydberg transition vanishes, as a promising candidate to achieve narrower spectral linewidths and, consequently, a higher sensitivity. The level structure of cesium presents a unique three-photon excitation scheme where residual Doppler shifts become comparable to the spectral linewidth of the coupling lasers. The experimental realization of this excitation scheme is demonstrated. A spectral linewidth of the Rydberg transition of 190 kHz is achieved. The measurements present the world record sensitivity, 45 nV/cm/Hz^1/2, for all-optical RF sensing with room temperature operation. These results make the three-photon excitation scheme a prime candidate for the next generation of Rydberg-atom based RF sensor prototypes. Finally, all-optical phase-sensitive RF detection is theoretically investigated in a closed-loop excitation scheme. An analytic expression is derived that intuitively describes the atomic response. Furthermore, it provides insights into the probe intensity dynamics that occur when the system is operated under finite detuning. These oscillatory dynamics allow for the extraction of the in- (I) and out- (Q) of-phase response to the RF wave, thereby enabling the simultaneous detection of the RF E-field amplitude and phase. A blueprint for the experimental realization is presented, and angle-of-arrival tolerances for the RF wave are estimated. A quadrature amplitude modulation (QAM) sequence was modelled and the simultaneous extraction of the phase and amplitude of the RF wave of interest was successfully demonstrated.
We present a three-photon based fluorescence readout method where the strength of the fluorescence scales with the strength of the radio-frequency field being applied. We compare this method to conventional three-photon electromagnetically induced transparency (EIT) and electromagnetically induced absorption (EIA). Our demonstrated three-photon EIA/EIT sensitivity in the collinear three-photon Cesium system is the best reported to date at roughly 30 (same units). The fluorescence is nearly fourfold better in sensitivity compared to EIA/EIT readout.
Atom-based radio-frequency (rf) electromagnetic field sensing using atomic Rydberg states is a promising technique that has recently attracted significant interest. Its unique advantages, such as extraordinary bandwidth, self-calibration, and all-dielectric sensors, are a tangible improvement over antenna-based methods in applications such as test and measurement and development of broad-bandwidth receivers. Here, we demonstrate how an optical-frequency comb can be used to acquire data in the Autler-Townes regime of Rydberg-atom-based electrometry in a massively parallel fashion, eliminating the need for laser scanning. Two-photon electromagnetically induced transparency readout and preparation of cesium is used for the demonstration. A flat quasicontinuous optical comb is generated with the probe laser at 852 nm using an electro-optic modulator and arbitrary waveform generator. A single-frequency coupling laser at 509 nm is tuned to the Rydberg launch state. An enhanced transmission signal is obtained using self-heterodyne spectroscopy, where the comb signal is beat against a local oscillator derived from the single-frequency probe laser on a fast photodiode. The transmission of each probe-laser comb tooth is observed. We resolve electromagnetically induced transparency peaks with line widths below 5 MHz, with and without laser locking. Radio-frequency electromagnetic fields as low as $66\phantom{\rule{0.2em}{0ex}}\text{\ensuremath{\mu}}{\mathrm{Vcm}}^{\ensuremath{-}1}$ are detected, with sensitivities of $2.3\phantom{\rule{0.2em}{0ex}}\text{\ensuremath{\mu}}{\mathrm{Vcm}}^{\ensuremath{-}1}{\mathrm{Hz}}^{\ensuremath{-}1/2}$. The method offers a significant advantage for reading out electromagnetically induced transparency and Autler-Townes splitting, as neither laser needs to be scanned and slow frequency drifts can be tolerated in some applications. The method enables the detection of the amplitude of a pulsed rf electromagnetic field when the incoming pulse Autler-Townes splits the electromagnetically induced transparency peak.