Optimizing Vapor Cells for Rydberg Atom-Based Electrometer Applications

Adil Meraki; Alexandra Artusio-Glimpse; Daniel Lopez; Dhriti Maurya; Vladimir Aksyuk

REVIEW 3 major objections 4 minor 18 references

Optimizing Vapor Cells for Rydberg Atom-Based Electrometer Applications

T0 review · 3 major / 4 minor · reviewed 2026-08-15 · deepseek-v4-flash

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Pith's one-line read Periodically structured all-glass vapor cells can couple incident millimeter-wave plane waves into quasi-guided modes, producing sharp resonant peaks with up to about 2.9x electric-field enhancement (over 8x RF power density) at a target…

desk verdict A clean forward-modeling study of grating-enhanced RF fields in all-glass vapor cells, credible in its physics but with a headline 8x enhancement that rests on an infinite-periodic 2D approximation that is not yet validated against the real finite-size device. read the letter →

arxiv 2509.07823 v1 pith:HRQCQ5BN submitted 2025-09-09 physics.optics physics.atom-ph

Dhriti Maurya , Alexandra Artusio-Glimpse , Adil Meraki , Daniel Lopez , Vladimir Aksyuk This is my paper · ORCID

classification physics.opticsphysics.atom-ph

keywords Rydbergatomelectrometryvaporcelloptimizationguided-moderesonancemillimeter-waveRFfieldsfiniteelementsimulationgratingcouplerfieldenhancementquantumsensing

verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper uses full-vector finite-element simulations to ask whether the glass vapor cell itself can be engineered to amplify the radio-frequency field that Rydberg atoms are meant to measure. It argues that a periodically structured all-glass cell, a low-loss dielectric grating, couples incident millimeter waves into quasi-guided modes, producing sharp resonances whose frequency, angle, and polarization selectivity are set by the cell geometry. The strongest computed enhancement is about 2.9 times the incident electric field, more than 8 times in RF power density, at 114.5 GHz for in-plane P-polarized incidence at 12 degrees. If the simulations transfer to real finite-size cells, the vapor-cell package becomes a tunable front-end filter and amplifier for chip-scale Rydberg electrometers.

What carries the argument

The central mechanism is grating-assisted phase matching between an incident plane wave and the quasi-guided modes of the periodic dielectric cell. The periodic structure with pitch p couples an incident in-plane wavevector kx to guided-mode wavevectors kx plus or minus (2*pi/p)*m, so resonances occur where frequency and phase-matching conditions align; the low-loss glass allows energy buildup, while lossy silicon does not. The quantitative workhorse is a 2D finite-element model of one 2 mm periodic unit cell with Floquet boundary conditions, reporting the electric field averaged along a vertical line through the atomic sensing volume.

What would settle it

Measure the RF field inside an actual 15 mm-square supported all-glass cell (2 mm period, 1 mm gaps, 0.5 mm windows) at 114.5 GHz with in-plane P-polarized incidence at 12 degrees, or simulate that finite cell in full 3D; if the sharp roughly 2.9x field peak is absent, shifted by more than a resonance width, or reduced well below the predicted value, the central claim fails.

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Extended reading notes

Core claim

On the paper's own terms, the discovery is that cell geometry and material losses, not just atom physics, control the RF field seen by Rydberg atoms. The open two-window cell shows only a broad standing-wave resonance from partial reflection at the glass interfaces. The supported all-glass cell, with its periodic 2 mm glass supports, adds a series of sharp grating resonances above about 60 GHz: the periodic structure phase-matches the incident plane wave to guided modes bound to the dielectric cell, and the strongest peak reaches about 2.9x field enhancement at 114.5 GHz with in-plane incidence at 12 degrees and P polarization. Replacing the glass grating with a doped-silicon grating suppresses the sharp resonances because material loss prevents RF power buildup. The k-vector-resolved maps show straight-line dispersion of the guided modes with avoided crossings, confirming the grating-coupling interpretation.

Load-bearing premise

The whole prediction rests on modeling the cell as an infinite periodic two-dimensional structure; a real three-dimensional cell of finite size could detune or damp the sharp resonances, and only experiment or a full 3D simulation would show that.

Editorial extensions

If this is right

Cell geometry becomes a design parameter: choosing pitch, gap width, and window thickness can place a sharp RF enhancement at a target frequency, angle, and polarization.
An all-glass supported cell can act as a passive directional filter, since the resonant response depends sensitively on incidence angle and polarization.
Highly doped silicon interlayers, common in MEMS vapor cells, should be avoided in regions of high RF field if resonant enhancement is desired.
The open cell retains a broad standing-wave enhancement useful for wideband operation, while the supported cell offers narrowband selectivity above about 60 GHz.
The computed enhancement maps provide a predictive design guide for chip-scale Rydberg sensors and RF imaging arrays.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

Because the simulations assume an infinite 2D periodic array, real finite-size cells may show resonance broadening or shifts; running the same sweep on a full 3D model of a 15 mm cell would directly test how much of the predicted 2.9x survives edge effects.
The paper notes that P-polarized incidence changes the local polarization state inside the cell; a Rydberg readout that assumes the incident polarization may need correction, and the effect could itself be exploited as a polarization-selective sensing axis.
The grating resonance condition could in principle be tuned by changing the air gap or cell period, which would make a single vapor cell a frequency-agile RF receiver without changing the atomic transition.
The same guided-mode mechanism could be extended to two-dimensional gratings to create polarization-independent or dual-polarization enhancement.

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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Desk Editor's Note

read the letter

What you should know first: this is a self-consistent numerical design study, not a measurement paper. It does exactly what it says—maps guided-mode resonances in periodically structured all-glass vapor cells for Rydberg electrometry—and the physics is credible. But the "exceeding 8x RF power enhancement" in the abstract is a forward prediction from an infinite-periodic 2D unit cell. Real cells are about 15 mm across, roughly 7 periods, and finite-size effects could detune or damp these extended-mode resonances. The authors acknowledge this in the modeling section and list 3D/finite-size modeling as future work. They just don't carry that caveat into the abstract or discussion.

What's genuinely new: the first full-vector FEM study of these specific microfabricated all-glass cells, including k-vector-resolved enhancement maps showing band folding and avoided crossings, and a quantitative comparison with doped-Si hybrid cells. The internal consistency checks are good—normal-incidence results agree across different modeling routes, open-cell polarization results are symmetric, and the k-space maps match expected grating-coupling physics. There are no fitted parameters; the enhancement maps are forward predictions from geometry and published material constants. The line-averaged enhancement metric is clearly defined and appropriate for a narrow interrogating laser. The self-citation [16] is legitimate: it supplies the cell geometry as an input, not the resonant-enhancement result.

Soft spots, in proportion. The finite-size issue is the main one, and it's real, though the authors didn't hide it. A 7-period grating can have a significantly lower Q than an infinite one; the 2.9x field/8x power peak could easily be halved or shifted. This is a load-bearing assumption for the quantitative claim, and it needs either a 3D finite-size simulation or a measurement before the 8x number appears in an abstract as a finding. Second: no mesh convergence study or uncertainty quantification. For a paper whose entire output is computational, that's a moderate omission—not fatal, but a referee should ask for it. Third: the glass permittivity is treated as frequency-independent with a fixed loss tangent. Probably fine over 0.05–150 GHz, but a sentence of justification would help.

The central argument holds up as a design framework: cell geometry is a lever for frequency, angle, and polarization selectivity. The comparison with lossy Si is clear and physically sensible. I'd be comfortable citing the qualitative conclusions and using the k-maps as design guidance, but I would not build a sensor around the 8x number yet.

Who this is for: people designing chip-scale Rydberg electrometers or RF imaging arrays, and anyone interested in applying photonic grating-coupling concepts at millimeter wavelengths. It deserves a serious referee—it's a solid applied-physics paper with a well-stated scope. The referee should focus on the FEM setup, ask for convergence and finite-size checks, and push the authors to either soften the abstract or add the validation. Send it out.

Referee Report

3 major / 4 minor

Summary. The paper presents full-vector finite-element simulations of millimeter-wave plane-wave scattering from two families of vapor cells for Rydberg electrometry: an open two-window cell and a periodically supported all-glass cell, plus a hybrid cell whose support grating is made of doped silicon. The cells are modeled in 2D as one 2 mm periodic unit with Floquet boundary conditions, and the authors compute a line-averaged electric-field enhancement inside the atomic volume as a function of frequency (0.05-150 GHz), incidence angle (0-80 degrees), and polarization. The central result is a sharp guided-mode resonance in the supported all-glass cell giving approximately 2.9x E-field enhancement, hence >8x power-density enhancement, near 114.5 GHz for in-plane P-polarized incidence at 12 degrees; the silicon-supported cell instead shows suppression of resonant features. The paper also presents k-vector-resolved enhancement maps interpreted through grating phase matching and quasi-guided mode dispersion.

Significance. If validated, the study would provide a practical, geometry-driven route to frequency-, angle-, and polarization-selective RF field enhancement in chip-scale Rydberg sensors, and the comparison between low-loss glass and lossy silicon supports is physically instructive. The work has the virtue of being a forward modeling study: no parameters are fitted to a target enhancement, and internal consistency checks are present, notably the agreement between the two distinct normal-incidence formulations and the expected mirror symmetry in the k-space maps. However, the headline quantitative claim depends entirely on an infinite-periodic, two-dimensional idealization of a finite microfabricated cell, and this dependence is not tested against a finite-size or three-dimensional model, nor against experiment.

major comments (3)

[Section II and Fig. 4] The central quantitative claim--the approximately 2.9x E-field (>8x power) enhancement at 114.5 GHz, 12 degrees, P polarization--is computed for a single 2 mm period with Floquet boundary conditions, i.e., an infinite periodic grating that is translationally invariant in Y. The actual cells described in Section II extend more than 15 mm in X and Y, corresponding to roughly seven periods, and have finite edges and a three-dimensional structure. Guided-mode resonances are extended Bloch states whose quality factor, peak amplitude, and resonance frequency depend on the number of periods, edge termination, and in-plane radiation losses; a seven-period finite grating can exhibit a weakened or shifted resonance, or none at all. Since the text explicitly states that finite overall size effects are neglected and lists 3D/finite-size modeling as future work, the paper should either supply a finite-size/supercell or 3D verification for the headline enhancement, or temper the abstract and discussion claims accordingly.
[Section II: numerical setup] No mesh-convergence study or solver-accuracy quantification is reported for the sharp resonant features. Because the claimed enhancements are narrow in frequency and angle (e.g., the 114.5 GHz peak), the computed peak amplitude is sensitive to discretization, PML placement, and Floquet-port implementation. A convergence check with respect to mesh refinement and PML parameters is needed to establish that the 2.9x value is numerically converged rather than an artifact of limited resolution.
[Section III: Discussion and future work] The paper acknowledges that experimental validation is future work, and that is acceptable for a purely numerical study, but the abstract and discussion nonetheless present the >8x power enhancement as a definitive finding of the study. Because the infinite-periodic approximation is explicitly invoked and is the single most load-bearing assumption for the quantitative result, the claims should be rephrased as predictions conditional on that idealization until finite-size/3D or experimental evidence is available.

minor comments (4)

[Fig. 4 caption] The caption repeats the panel label (b) twice: the last two entries should read (c) and (d), not (b) and (b).
[Section II, Fig. 5 axis definition] The definition of the horizontal axis in the k-vector maps, written as k sub x,y divided by 2 pi equals f cos(phi, theta) divided by c, is ambiguous and appears to be missing a factor of 2 pi. Please clarify the exact relation between the plotted reduced wavevector and the physical wavevector component.
[Section II, material model] Borofloat 33 is described as low-loss with epsilon = 4.481 + i0.0817, which corresponds to a loss tangent of approximately 0.018. The text should briefly justify this value from the cited reference, since the resonant enhancement is sensitive to the assumed loss.
[General] No data or code availability statement is provided. Given that the paper is purely computational, making the simulation parameters and a representative model file available would improve reproducibility.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the enhancement values are forward FEM predictions from stated geometry and material inputs, with no fitted parameter renamed as a prediction.

full rationale

The paper's central claims are numerical predictions produced by full-vector FEM simulations from explicitly stated cell geometries, material permittivities, and incidence parameters. The reported 2.9x field enhancement and >8x power enhancement are direct outputs of those simulations, not quantities fitted to a target result or defined in terms of the conclusion. The line-averaged field-enhancement metric is explicitly introduced as a modeling choice to represent a narrow interrogating laser beam, and the paper notes that volume averaging gives qualitatively similar results; it is not a fitted constant. The self-citation [16] is used only to motivate the modeled cell geometry, which is an input to the simulation, not the resonant-enhancement result, so it is not load-bearing. Material data are taken from an independent external source [17]. The k-vector and angle-resolved interpretation of the simulated resonances as guided-mode coupling is an explanation of the computed data, not a derivation that assumes the conclusion. The acknowledged limitations regarding finite-size and three-dimensional effects are caveats about the applicability of the infinite-periodic 2D approximation, not evidence of circularity. No equation in the paper reduces to its own input by construction, and no fitted parameter is renamed as a prediction.

Assumptions & free parameters 0 free parameters · 4 assumptions · 0 invented entities

This paper is a forward numerical experiment; no free parameters are fitted to a target outcome. The central results depend on the material permittivity model (Borofloat 33 and doped Si), the 2D infinite-periodic Floquet approximation, and the plane-wave excitation and line-averaging metric, all stated in Section II.

assumptions (4)

domain assumption Borofloat 33 glass is modeled with a frequency-independent complex permittivity epsilon = 4.481 + i0.0817 over the full 0.05-150 GHz range.
This loss model directly sets the quality factor of the guided-mode resonances; a higher loss would suppress the approximately 2.9x peak. The value is taken from reference [17], a 5G/6G glass paper, and is not locally validated across the whole frequency range.
domain assumption The cell is approximated as a single 2 mm periodic unit in X with Floquet boundary conditions and translationally invariant in Y, neglecting finite overall cell size.
Real cells extend over 15 mm in X and Y; edge effects and finite aperture can detune or damp the predicted guided-mode resonances. Stated explicitly in Section II.
domain assumption Atom-filled volumes have dielectric constant 1 and the atomic vapor does not perturb the incident RF field.
Valid for dilute alkali vapor; standard in Rydberg electrometry modeling.
domain assumption Field enhancement is defined as the E-field magnitude averaged along a vertical line through the atomic volume, normalized to the incident field.
This metric represents a narrow interrogation laser beam; the authors note volume averaging gives qualitatively similar results, so it is not the main fragility.

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Cite this review

Pith. "Pith review of Optimizing Vapor Cells for Rydberg Atom-Based Electrometer Applications." pith.science (2026). https://pith.science/paper/HRQCQ5BN

@misc{pith2026250907823,
  author       = {Pith},
  title        = {Pith review of: Optimizing Vapor Cells for Rydberg Atom-Based Electrometer Applications},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/HRQCQ5BN}},
  note         = {Machine review of arXiv:2509.07823}
}

read the original abstract

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.

Figures

Figures reproduced from arXiv: 2509.07823 by the authors.

**Figure 1.** Schematic of a millimeter-scale Rydberg sensor array incorporating glass vapor cells: 3D representation of the vapor cell design, including (a) an open and (c) a supported vapor cell. Finite element modeling was employed to analyze the RF field distribution and average field enhancement under plane-wave RF incidence within the open and supported cells approximated as infinite translationally-invariant in Y and infin… view at source ↗

**Figure 2.** Numerically calculated time and spatially averaged RF field enhancement relative to the incident field within a glass open vapor cell for S-polarized (a, c) and P-polarized (b, d) incident plane wave as a function of angle and frequency. The out-of-plane incidence is used for Spolarized waves, while the in-plane incidence is used for P-polarized waves, such that the field is in the yz-plane. Panels (a) and (b) show… view at source ↗

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Reference graph

Works this paper leans on

18 extracted references · 16 canonical work pages

[16]

Wafer-level fabrication of fully-dielectric vapor cells for Rydberg atom electrometry

Artusio-Glimpse, Alexandra B., et al. "Wafer-level fabrication of fully-dielectric vapor cells for Rydberg atom electrometry." arXiv preprint arXiv:2503.15433 (2025)

arXiv 2025
[1]

Microwave electrometry with Rydberg atoms in a vapour cell using bright atomic resonances

Sedlacek, Jonathon A., et al. "Microwave electrometry with Rydberg atoms in a vapour cell using bright atomic resonances." Nature physics 8.11 (2012): 819-824

work page 2012
[2]

Many-body physics with individually controlled Rydberg atoms

Browaeys, Antoine, and Thierry Lahaye. "Many-body physics with individually controlled Rydberg atoms." Nature Physics 16.2 (2020): 132-142

work page 2020
[3]

F., and F

Stebbings, R. F., and F. B. Dunning, eds. Rydberg states of atoms and molecules. Cambridge University Press, 1983

work page 1983
[4]

Schlossberger, N., Prajapati, N., Berweger, S. et al. Rydberg states of alkali atoms in atomic vapour as SI-traceable field probes and communications receivers. Nat Rev Phys 6, 606–620 (2024). Fig. 6:(a) Illustrates a 3D schematic of the supported Si-glass vapor cell design, featuring a unit cell with a periodically structured, highly doped silicon gratin...

work page 2024
[5]

Broadband Rydberg Atom-Based Electric-Field Probe for SI-Traceable, Self-Calibrated Measurements,

C. L. Holloway et al., "Broadband Rydberg Atom-Based Electric-Field Probe for SI-Traceable, Self-Calibrated Measurements," in IEEE Transactions on Antennas and Propagation, vol. 62, no. 12, pp. 6169-6182, Dec. 2014, doi: 10.1109/TAP.2014.2360208

arXiv 2014
[6]

Atom-based vector microwave electrometry using rubidium Rydberg atoms in a vapor cell

Sedlacek, J_A, et al. "Atom-based vector microwave electrometry using rubidium Rydberg atoms in a vapor cell." Physical review letters 111.6 (2013): 063001

work page 2013
[7]

Radio-frequency-modulated Rydberg states in a vapor cell

Miller, Stephanie A., David A. Anderson, and Georg Raithel. "Radio-frequency-modulated Rydberg states in a vapor cell." New Journal of Physics 18.5 (2016): 053017

work page 2016

Show all 18 references

[8]

Effect of vapor-cell geometry on Rydberg-atom-based measurements of radio-frequency electric fields

Fan, Haoquan, et al. "Effect of vapor-cell geometry on Rydberg-atom-based measurements of radio-frequency electric fields." Physical Review Applied 4.4 (2015): 044015

2015
[9]

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

Zhang, Linjie, et al. "Vapor cell geometry effect on Rydberg atom-based microwave electric field measurement." Chinese Physics B 27.3 (2018): 033201

2018
[10]

Rubidium vapor cell with integrated Bragg reflectors for compact atomic MEMS

Perez, Maximillian A., et al. "Rubidium vapor cell with integrated Bragg reflectors for compact atomic MEMS." Sensors and Actuators A: Physical 154.2 (2009): 295-303

2009
[11]

Optical measurements of strong microwave fields with Rydberg atoms in a vapor cell

Anderson, David A., et al. "Optical measurements of strong microwave fields with Rydberg atoms in a vapor cell." Physical Review Applied 5.3 (2016): 034003

2016
[12]

Vapor cell characterization and optimization for applications in Rydberg atom-based radio frequency sensing

Noaman, M., et al. "Vapor cell characterization and optimization for applications in Rydberg atom-based radio frequency sensing." Quantum Sensing, Imaging, and Precision Metrology. V ol. 12447. SPIE, 2023

2023
[13]

Coherent excitation of Rydberg atoms in micrometre-sized atomic vapour cells

Kübler, Harald, et al. "Coherent excitation of Rydberg atoms in micrometre-sized atomic vapour cells." Nature Photonics 4.2 (2010): 112-116

2010
[14]

Dependence of Rydberg-atom-based sensor performance on different Rydberg atom populations in one atomic-vapor cell

Wu, Bo, et al. "Dependence of Rydberg-atom-based sensor performance on different Rydberg atom populations in one atomic-vapor cell." Chinese Physics B 33.2 (2024): 024205

2024
[15]

Amarloo, H., Noaman, M., Yu, SP. et al. A photonic crystal receiver for Rydberg atom-based sensing. Commun Eng 4, 70 (2025)

2025
[17]

Novel Glass Material with Low Loss and Permittivity for 5G/6G Integrated Circuits

Rodriguez-Cano, Rocio, et al. "Novel Glass Material with Low Loss and Permittivity for 5G/6G Integrated Circuits." 2024 IEEE INC-USNC-URSI Radio Science Meeting (Joint with AP-S Symposium). IEEE, 2024

2024
[18]

Any mention of commercial products is for information only; it does not imply recommendation or endorsement by NIST

Pith tools

Reviewed August 15, 2026 · model on record in the stance chip above.

[1] [16]

Wafer-level fabrication of fully-dielectric vapor cells for Rydberg atom electrometry

Artusio-Glimpse, Alexandra B., et al. "Wafer-level fabrication of fully-dielectric vapor cells for Rydberg atom electrometry." arXiv preprint arXiv:2503.15433 (2025)

arXiv 2025

[2] [1]

Microwave electrometry with Rydberg atoms in a vapour cell using bright atomic resonances

Sedlacek, Jonathon A., et al. "Microwave electrometry with Rydberg atoms in a vapour cell using bright atomic resonances." Nature physics 8.11 (2012): 819-824

work page 2012

[3] [2]

Many-body physics with individually controlled Rydberg atoms

Browaeys, Antoine, and Thierry Lahaye. "Many-body physics with individually controlled Rydberg atoms." Nature Physics 16.2 (2020): 132-142

work page 2020

[4] [3]

F., and F

Stebbings, R. F., and F. B. Dunning, eds. Rydberg states of atoms and molecules. Cambridge University Press, 1983

work page 1983

[5] [4]

Schlossberger, N., Prajapati, N., Berweger, S. et al. Rydberg states of alkali atoms in atomic vapour as SI-traceable field probes and communications receivers. Nat Rev Phys 6, 606–620 (2024). Fig. 6:(a) Illustrates a 3D schematic of the supported Si-glass vapor cell design, featuring a unit cell with a periodically structured, highly doped silicon gratin...

work page 2024

[6] [5]

Broadband Rydberg Atom-Based Electric-Field Probe for SI-Traceable, Self-Calibrated Measurements,

C. L. Holloway et al., "Broadband Rydberg Atom-Based Electric-Field Probe for SI-Traceable, Self-Calibrated Measurements," in IEEE Transactions on Antennas and Propagation, vol. 62, no. 12, pp. 6169-6182, Dec. 2014, doi: 10.1109/TAP.2014.2360208

arXiv 2014

[7] [6]

Atom-based vector microwave electrometry using rubidium Rydberg atoms in a vapor cell

Sedlacek, J_A, et al. "Atom-based vector microwave electrometry using rubidium Rydberg atoms in a vapor cell." Physical review letters 111.6 (2013): 063001

work page 2013

[8] [7]

Radio-frequency-modulated Rydberg states in a vapor cell

Miller, Stephanie A., David A. Anderson, and Georg Raithel. "Radio-frequency-modulated Rydberg states in a vapor cell." New Journal of Physics 18.5 (2016): 053017

work page 2016