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Japanese Journal of Applied Physics

Depolarization effect of a vapor cell in atom-based radio-frequency electric field measurement

Wanfeng Zhang, Zhenfei Song, Huihui Mu, Shanxia Bao

Published Aug 8, 2018• 2 citations
Publisher

Abstract

Abstract The Rydberg atom can be used as an active probe for precision radio-frequency (RF) electric field (E-field) measurement; however, the RF cavity resonance and scattering effect of an atomic vapor cell lead to polarization distortion inside the cell, and the depolarization effect limits the sensitivity and accuracy of E-field measurement. The finite element simulation and characteristic mode analysis of a hollow-cavity model are implemented to find an optimized solution of minimizing such depolarization. Manipulating atoms in the middle layer of a vapor cell along an incident field vector can avoid the depolarization, which is validated by the vector distribution measurement at 15.09 GHz.

DOI
10.7567/jjap.57.090310

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Abstract The Rydberg atom can be used as an active probe for precision radio-frequency (RF) electric field (E-field) measurement; however, the RF cavity resonance and scattering effect of an atomic vapor cell lead to polarization distortion inside the cell, and the depolarization effect limits the sensitivity and accuracy of E-field measurement. The finite element simulation and characteristic mode analysis of a hollow-cavity model are implemented to find an optimized solution of minimizing such depolarization. Manipulating atoms in the middle layer of a vapor cell along an incident field vector can avoid the depolarization, which is validated by the vector distribution measurement at 15.09 GHz.
Highly excited Rydberg atoms in a room-temperature vapor cell are promising for developing a radio-frequency (RF) electric field (E-field) sensor and relevant measurement standards with high accuracy and sensitivity. The all-optical sensing approach is based on electromagnetically-induced transparency and Autler-Townes splitting induced by the RF E-field. Systematic investigation of measurement uncertainty is of great importance for developing a national measurement standard. The presence of a dielectric vapor cell containing alkali atoms changes the magnitude, polarization, and spatial distribution of the incident RF field. In this paper, the field distortion of rubidium vapor cells is investigated, in terms of both field strength distortion and depolarization. Full-wave numerical simulation and analysis are employed to determine general optimization solutions for minimizing such distortion and validated by measuring the E-field vector distribution inside different vapor cells. This work can improve the accuracy of atom-based RF E-field measurements and contributes to the development of related RF quantum sensors.
We present a comprehensive numerical investigation into the radio frequency (RF) field behavior within miniaturized all-glass and hybrid vapor cell geometries designed for Rydberg atom-based electrometry. Using full-vector finite element modeling (FEM), we analyze electromagnetic field enhancement across a wide frequency range (0.05 GHz to 150 GHz) as a function of polarization, incidence angle, and structural configuration. Two primary vapor cell designs are evaluated: translationally invariant "open" cells and periodically structured "supported" cells composed entirely of low-loss glass, as well as hybrid structures incorporating highly doped silicon. Our simulations reveal that the structured all-glass vapor cells exhibit sharp, angle- and polarization-dependent resonant peaks due to guided-mode coupling, resulting in localized RF power enhancements exceeding 8x. In contrast, silicon-based structures demonstrate significant electric field attenuation and suppression of resonant features due to their high dielectric losses. Through k-vector and angle-resolved analyses, we show how cell geometry and material properties critically influence the RF field distribution and coupling efficiency. Our findings open new possibilities for optimizing vapor cell architectures to enhance field sensitivity, directional and polarization selectivity, and integration potential in chip-scale quantum sensing platforms based on Rydberg atoms.
Abstract We introduce a method to measure radio frequency (RF) electric fields (E-fields) using atoms contained in a prism-shaped vapor cell. The method utilizes the concept of electromagnetically induced transparency with Rydberg atoms. The RF E-field induces changes in the index of refraction of the vapor resulting in deflection of the probe laser beam as it passes through the prism-shaped vapor cell. We measured a minimum RF E-field of 8.25 μ Vcm − 1 with a sensitivity of ∼ 46.5 μ Vcm − 1 Hz − 1 / 2 . The experimental results agree with a numerical model that includes dephasing effects. We discuss possible improvements to obtain higher sensitivity for RF E-field measurements.
We present a hybrid atomic sensor that realizes radio-frequency electric field detection with intrinsic field enhancement and polarization selectivity for robust high-sensitivity field measurement. The sensor incorporates a passive resonator element integrated with an atomic vapor cell that provides enhancement and polarization selectivity of incident radio-frequency fields. The enhanced intra-cavity radio-frequency field is measured by atoms using a quantum-optical readout of AC level shifts of field-sensitive atomic Rydberg states. In our demonstration, we employ a split field-enhancement resonator embedded in a rubidium vapor cell to enhance and detect C-band radio-frequency fields. We observe a field enhancement equivalent to a 24 dB gain in intensity sensitivity. The spatial profile of the resonant field mode inside the field-enhancement cavity is characterized and robust polarization measurement of the incident field is demonstrated. The measured performance metrics of the sensor are in good agreement with simulations. Applications of such atomic sensors in ultra-weak radio-frequency detection and advanced measurement capabilities are discussed.
Rydberg atom-based sensors represent a cutting-edge technology for highly sensitive radio-frequency (RF) electric field detection. Their performance is strongly influenced by the atomic vapor cell's characteristics, which significantly affect the internal field distribution and consequently the sensor's sensitivity. This research examines how relative permittivity, wall thickness, and cell dimensions impact the electric field distribution. Motivated by the growing demand for broadband communication and high-frequency technologies in next-generation systems, the 1-30 GHz frequency range is selected as the operational bandwidth. Results reveal that the resonance frequency of the dielectric cell—determined by its dimensions, relative permittivity, and wall thickness—plays a crucial role in the internal field distribution, making the conventional cell-dimension-to-wavelength ratio alone insufficient for predicting field behavior. Beyond the resonance frequency, field distortion and non-uniformity decrease even as the cell-dimension- to-wavelength ratio increases. Contrary to expectations, reducing cell size does not uniformly diminish field distortion and can significantly enhance the internal field within specific frequency bands. While variations in relative permittivity and wall thickness have a limited effect on the internal field at lower frequencies, these parameters exert a substantial influence near resonance and can even lead to field enhancement, particularly at the cell center. These findings demonstrate that through optimized cell design, the internal field can be engineered to achieve either uniform distributions for high-accuracy metrology or enhanced fields for weak-signal detection. This study provides practical guidelines for developing next-generation quantum RF sensors, communication systems, and radar technologies.
Significant progress has been made in atom-based measurements of length, time, gravity and electromagnetic fields in recently years. Rydberg atom-based microwave electric field measurement, using electromagnetically induced transparency (EIT) in room temperature alkali-metal vapors, has been extensively investigated and aroused the broad interest. This approach may establish a new standard for the measurements of microwave (MW) and radio frequency (RF) electric fields.In this review, we describe the work on a new method of measuring electric fields based on quantum interference by using either cesium or rubidium atoms contained in a dielectric vapor cell. Rydberg atoms with principal quantum number n >>1 have large direct current (DC) polarizabilities and microwave transition dipole moments, thereby making them extremely sensitive to external electric fields. Using the Rydberg three-level EIT to detect the level splitting and shift that is induced by the external field, we can realize a rapid and robust self-calibration method of measuring the electric field in a frequency range from 0.01 GHz to 1000 GHz. For the MW electric field (frequency range > 1 GHz), the MW field causes the Rydberg states to split, known as an Autler-Townes splitting (A-T) effect when the applied microwave can resonate with adjacent Rydberg states. The MW coupled A-T splitting is proportional to the applied electric field strength, from which the field strength is measured. Using the EIT window, a high sensitivity of 3 μV·cm-1·Hz-1/2 and small electric field of 1 μV/cm are expected to be achieved with a modest setup, and the limitations of the sensitivity are also addressed in the review. For the RF field at frequency mj EIT lines, and avoided crossings formed with the fine-structure levels of equal mj and different J's, which is used to calibrate and measure the RF field amplitude. On the other hand, the dependence of the EIT-line strength on the RF field polarization provides a fast and robust polarization measurement of RF fields based on matching experimental data with a theoretical simulation. The measurements of minimum strengths and sensitivity of RF fields based on Rydberg atoms are one order magnitude below the values obtained by traditional antenna methods. The atom-based field measurement paves the way for determining fields through calibration-free, invariable atomic properties and miniaturization. We also propose its various potential applications in the future.