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Chinese Physics B

Vapor cell geometry effect on Rydberg atom-based microwave electric field measurement

Linjie Zhang, Jiasheng Liu, Yue Jia, Hao Zhang, Zhenfei Song, Suotang Jia

Published Mar 1, 2018• 20 citations
Publisher

Abstract

The geometry effect of a vapor cell on the metrology of a microwave electric field is investigated. Based on the splitting of the electromagnetically induced transparency spectra of cesium Rydberg atoms in a vapor cell, high-resolution spatial distribution of the microwave electric field strength is achieved for both a cubic cell and a cylinder cell. The spatial distribution of the microwave field strength in two dimensions is measured with sub-wavelength resolution. The experimental results show that the shape of a vapor cell has a significant influence on the abnormal spatial distribution because of the Fabry–Pérot effect inside a vapor cell. A theoretical simulation is obtained for different vapor cell wall thicknesses and shows that a restricted wall thickness results in a measurement fluctuation smaller than 3% at the center of the vapor cell.

DOI
10.1088/1674-1056/27/3/033201

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The geometry effect of a vapor cell on the metrology of a microwave electric field is investigated. Based on the splitting of the electromagnetically induced transparency spectra of cesium Rydberg atoms in a vapor cell, high-resolution spatial distribution of the microwave electric field strength is achieved for both a cubic cell and a cylinder cell. The spatial distribution of the microwave field strength in two dimensions is measured with sub-wavelength resolution. The experimental results show that the shape of a vapor cell has a significant influence on the abnormal spatial distribution because of the Fabry–Pérot effect inside a vapor cell. A theoretical simulation is obtained for different vapor cell wall thicknesses and shows that a restricted wall thickness results in a measurement fluctuation smaller than 3% at the center of the vapor cell.
We demonstrate the high-resolution spatial feature measurement of microwave electric field using an cesium atomic vapor cell based on the electromagnetically induced transparency (EIT) spectrum of133Cs Rydberg atom. The microwave electric field with the frequency of 6.95 GHz couples the transition of 47D5/2→48P3/2 Rydberg states. The EIT spectrum of a 6S1/2-6P3/2-47D5/2 ladder system will split by the Autler-Townes(AT) effect under the microwave electric field. The dependence of AT splitting separation on the microwave electric fields strength is observed. Moreover, we present the imaging of the spatial feature of microwave electric field in the atomic vapor cell. The theoretical maximum spatial resolution is about λMw/430.
Most studies on Rydberg atom-based microwave electric field measurement are achieved by using a single atomic vapor cell. In this work, we design an 1×4 uniform linear array of vapor cells by splitting the probe laser and coupling laser, and achieve simultaneous measurement of the microwave electric fields at the center of four vapor cells using Rydberg electromagnetically induced transparency method. At the frequency of the microwave electric field with about 6.92GHz, the measured AT splitting at four different spatial locations is linearly related to the square root of power of the microwave electric field. The microwave measurement for different spatial location allows the Rydberg atoms to meet the need of communications and radar better.
We have recently shown [Nat. Phys.8, 819 (2012)] that Alkali atoms contained in a vapor cell can serve as a highly accurate standard for microwave (MW) electric field strength as well as polarization. Here we show for the first time that Rydberg atom electromagnetically induced transparency can be used to image MW electric fields with unprecedented precision. The spatial resolution of the method is far into the subwavelength regime ∼λ/650 or 66 μm at 6.9 GHz. The electric field resolutions are similar to those we have already demonstrated ∼50 μV cm(-1). Our experimental results agree with finite element calculations of test electric-field patterns.
Two-dimensional imaging of microwave electric field gradients was performed using a MEMS cesium vapor cell based on Rydberg atoms. The variations in probe laser fluorescence intensity, continuously monitored via high-sensitivity CCD imaging at 24.038 GHz, enabled detailed analysis of electromagnetically induced transparency (EIT) and Autler–Townes (AT) splitting effects. By establishing the quantitative relation between the splitting interval (Δ f ) and the electric field intensity, spatial electric field gradient distributions were accurately measured. The experimental results demonstrated a minimum detectable electric field strength of 1.22 V/m and a spatial resolution of 151.2 µm, with the measurement error in electric field strength maintained below 2%.
This study investigates the enhancement of the microwave (MW) electric (E) field due to the Fabry-Perot (FP) effect in cubic cells of varying sizes, and it is confirmed that the lower limit of MW power can be measured. Theoretical simulations and empirical validations are conducted for three vapor cells of different sizes. At a MW frequency of 23.904 GHz, the FP effect in the 10 mm cell is found to significantly enhance the MW E-field relative to larger cells (20 and 25 mm). The results show that, due to the existence of the FP effect, the lower limit of MW power can be measured in the cubic atomic vapor cells with different sizes. These findings contribute to the advancement of the vapor cell design for quantum accuracy measurements and the development of future atomic MW communication technologies.
An atom-based approach is presented to detect absolute microwave (MW) electric fields (E-fields). The approach uses Rydberg atoms in vapor cells at room temperature. The MW E-field measurements utilize a bright resonance prepared within an electromagnetically induced transparency (EIT) window. The large transition dipole moments between energetically adjacent Rydberg states enable this method to make traceable E-field measurements with a sensitivity that is several orders of magnitude higher than the current standard for MW E-field measurements. The method can be used to image MW E-field in the near field regime with a subwavelength resolution of mathrmlambdaMW/650\\mathrm{\\lambda_{MW}/650}mathrmlambdaMW​/650, where mathrmlambdaMW\\mathrm{\\lambda_{MW}}mathrmlambdaMW​ is the wavelength of the MW E-field. A high accuracy of $\\mathrm{1\\%}$ has been reached by minimizing the effects of the vapor cell geometry on the measured MW E-field. The dissertation also presents an alternative technique to perform the MW E-field measurement using dispersive properties of the EIT spectrum with a prism vapor cell. Recently, we applied a homodyne detection technique with a Mach Zehnder interferometer to achieve a new sensitivity limit for the MW E-field measurement, mathrmsim3 muVcm−1Hz−1/2\\mathrm{\\sim3~\\mu Vcm^{-1}Hz^{-1/2}}mathrmsim3 muVcm−1Hz−1/2. The new sensitivity is one order of magnitude better than our prior best sensitivity presented in Ref. [Nat. Phys. 8, 819 (2012)]. The Rydberg atom-based method is promising to be a new standard for MW E-field measurements and to develop into portable devices in the field of MW technologies.