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arXiv:2412.12568 · Optics Letters

Two-dimensional imaging of electromagnetic fields via light-sheet fluorescence imaging with Rydberg atoms

Noah Schlossberger, Tate McDonald, Kevin Su, Rajavardhan Talashila, Robert Behary, Link Patrick, Daniel Hammerland, Eugeniy E. Mikhailov, S. Aubin, Irina V. Novikova, Christopher L. Holloway, Nikunj Prajapati

Published Oct 24, 2025• 10 citations
arXivHTMLPDF

Abstract

Imaging of electric and magnetic fields is limited by the fact that conventional field probes rely on conductive elements that perturb the fields they are meant to measure and require either spatial scanning or arrays to produce field maps. Atomic sensors based on Rydberg states offer a minimally invasive and broadband alternative, enabling absolute field measurements without external calibration. In this work, we present a field imaging technique that combines the spatial resolution of planar laser-induced fluorescence-dip spectroscopy with the field sensitivity and spectral resolution of electromagnetically induced transparency (EIT) using Rydberg states of atomic vapor. By imaging the change in fluorescence due to EIT, we spatially resolve the field-induced shifts in atomic energy levels, enabling the imaging of arbitrary electric field distributions from MHz to tens of GHz at the ∼V/cm level and static magnetic fields at the ∼mT level. We also image resonant microwave electric fields at the ∼5 mV/cm level. This technique achieves a spatial resolution of 160 µm, limited by our camera, with a fundamental resolution limit near 5 µm.

DOI
10.1364/ol.566697

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Imaging of electric and magnetic fields is limited by the fact that conventional field probes rely on conductive elements that perturb the fields they are meant to measure and require either spatial scanning or arrays to produce field maps. Atomic sensors based on Rydberg states offer a minimally invasive and broadband alternative, enabling absolute field measurements without external calibration. In this work, we present a field imaging technique that combines the spatial resolution of planar laser-induced fluorescence-dip spectroscopy with the field sensitivity and spectral resolution of electromagnetically induced transparency (EIT) using Rydberg states of atomic vapor. By imaging the change in fluorescence due to EIT, we spatially resolve the field-induced shifts in atomic energy levels, enabling the imaging of arbitrary electric field distributions from MHz to tens of GHz at the ∼V/cm level and static magnetic fields at the ∼mT level. We also image resonant microwave electric fields at the ∼5 mV/cm level. This technique achieves a spatial resolution of 160 µm, limited by our camera, with a fundamental resolution limit near 5 µm.
Measurements of plasma electric fields are essential to the advancement of plasma science and applications. Performing non-invasive in situ measurements of plasma fields on sub-millimeter length scales with high sensitivity over a large range of field magnitude remains an outstanding challenge. We introduce and demonstrate a method for plasma electric field measurement that employs electromagnetically induced transparency as a high-resolution quantum-optical probe for the Stark energy level shifts of Rydberg atoms embedded in a plasma and serving as highly sensitive field sensors. The method is applied in diagnostics of plasmas generated by photo-excitation of a cesium vapor. The plasma electric fields are extracted from spatially resolved measurements of field-induced lineshape changes and shifts of Rydberg resonances in rubidium tracer atoms. Measurement capabilities over a range of plasma densities and temperatures are exploited to characterize plasmas in applied magnetic fields and to image electric-field distributions in cyclotron-heated plasmas. Our results pave the way toward further applications of Rydberg-atom-based field sensors to diagnostics and monitoring of electric fields due to plasmas.
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%.
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.
Measurements of plasma electric fields are essential to the advancement of plasma science and applications. Methods for non-invasive in situ measurements of plasma fields on sub-millimeter length scales with high sensitivity over a large field range remain an outstanding challenge. Here, we introduce and demonstrate a new method for plasma electric field measurement that employs electromagnetically induced transparency as a high-resolution quantum-optical probe for the Stark energy level shifts of plasma-embedded Rydberg atoms, which serve as highly-sensitive field sensors with a large dynamic range. The method is applied in diagnostics of plasmas photo-excited out of a cesium vapor. The plasma electric fields are extracted from spatially-resolved measurements of field-induced shape changes and shifts of Rydberg resonances in rubidium tracer atoms. Measurement capabilities over a range of plasma densities and temperatures are exploited to characterize plasmas in applied magnetic fields and to image electric-field distributions in cyclotron-heated plasmas.
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.
Rydberg atom-based electromagnetic field sensors are currently the focus of intense research efforts, promising high sensitivity, tunability, and compactness with SI-traceable measurements. However, the presence of a cell around the atoms alters the microwave field distribution, particularly due to reflection by materials like quartz. To characterize these sensors, measuring how the presence of the cell affects the microwave field distribution is therefore essential. Electro-optical probes offer high spatial resolution but require time-consuming scanning. Infrared electromagnetic thermography provides direct field mapping but is limited by the opacity of glass to infrared radiation. In contrast, fluorescence thermography allows for electric field mapping through optically transparent media. In this paper, we report the application of this technique to map the microwave electric field inside a quartz cell intended for atomic cooling and trapping. This provides a direct observation of the standing waves inside the cell, in good agreement with numerical simulations. This technique could be a valuable tool for the design and optimization of atomic cells for applications requiring good control of the microwave field distribution inside the cell, such as atomic clocks or electric field sensors based on hot or cold Rydberg atoms.