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arxiv: 2604.26580 · v1 · submitted 2026-04-29 · 🪐 quant-ph · physics.atom-ph

Recognition: unknown

Addressable Rydberg excitation in arrays of single neutral atoms with a strongly focused flat-top beam

I. V. Iukhnovets (1 , 2 , 3) , M. Y. Goloshchapov (4 , 5) , A. P. Gordeev (3 , 6) , O. V. Bychkova (3)
show 12 more authors
I. B. Bobrov (6) G. I. Struchalin (6) S. S. Straupe (2 6) ((1) Moscow Institute of Physics Technology (2) Russian Quantum Center (3) P. N. Lebedev Physical Institute (4) Technical University of Munich (5) Ludwig-Maximilians-Universit\"at M\"unchen (6) Quantum Technology Centre Faculty of Physics M. V. Lomonosov Moscow State University)
Authors on Pith no claims yet

Pith reviewed 2026-05-07 13:36 UTC · model grok-4.3

classification 🪐 quant-ph physics.atom-ph
keywords rydberg excitationneutral atomsflat-top beamoptical dipole trapsaddressabilityrabi oscillationshermite-gaussian modeslaguerre-gaussian modes
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The pith

A flat-top beam synthesized from Gaussian modes enables selective Rydberg excitation of individual atoms in optical trap arrays.

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

The paper presents a technique for shaping a laser beam into a flat intensity and phase profile at the focus by combining Hermite-Gaussian or Laguerre-Gaussian modes. This profile is used to drive Rydberg transitions in single neutral rubidium atoms arranged in arrays of optical dipole traps. Analytical formulas for the mode amplitudes and studies of how the beam propagates near the waist are given. Simulations of the two-qubit Rydberg dynamics are carried out with a master equation solver. Experiments on an actual platform show that Rabi oscillations are more visible for the addressed atom than for its neighbors, proving the spatial selectivity works.

Core claim

By superposing Hermite-Gaussian or Laguerre-Gaussian modes, a beam with flat intensity and phase is created in the focal plane; when applied to an array of single 87Rb atoms, this produces addressable Rydberg excitation with clear differences in Rabi oscillation visibility between the targeted atom and adjacent ones.

What carries the argument

Superposition of Hermite-Gaussian or Laguerre-Gaussian modes, with analytical coefficients chosen to flatten the intensity and phase over the atom in the focal plane.

If this is right

  • Addressable excitation becomes possible without significant crosstalk to neighboring atoms in the array.
  • The flat profile ensures more uniform driving across the finite size of each atom.
  • Numerical Lindblad simulations confirm the expected two-qubit dynamics under this driving field.
  • Experimental realization on a neutral-atom platform validates the beam preparation and selectivity.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • This method may support scaling to larger arrays by allowing tighter spacing with less interference.
  • The propagation analysis could guide adjustments for different trap geometries or wavelengths.
  • Similar mode superpositions might be applied to other atomic species or multi-qubit gates.

Load-bearing premise

The mode superposition must yield a flat enough intensity and phase across the atom's size at the focus, and beam propagation must preserve this selectivity for the array spacing and geometry chosen.

What would settle it

If Rabi oscillation visibility were identical for the addressed atom and its neighbors, the flat-top beam would not be providing the claimed spatial selectivity.

Figures

Figures reproduced from arXiv: 2604.26580 by 2, (2) Russian Quantum Center, 3), (3) P. N. Lebedev Physical Institute, (4) Technical University of Munich, 5), (5) Ludwig-Maximilians-Universit\"at M\"unchen, 6), 6) ((1) Moscow Institute of Physics, (6) Quantum Technology Centre, A. P. Gordeev (3, Faculty of Physics, G. I. Struchalin (6), I. B. Bobrov (6), I. V. Iukhnovets (1, M. V. Lomonosov Moscow State University), M. Y. Goloshchapov (4, O. V. Bychkova (3), S. S. Straupe (2, Technology.

Figure 2
Figure 2. Figure 2: FIG. 2. Flat-top profile zones (the color scale represents the view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. (a) Flat-top beam constructed as a superposition of the first five even Hermite–Gaussian modes. (b) Dependence of view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Longitudinal intensity and phase profiles for a Gaussian beam (a, b) and the flat-top beam of view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Effective 5-level system. (a) Full hyperfine structure view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. (a) Optical scheme of the experimental setup. (b) Computational zone (shown centered; when forming the computa view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. (a) Atom ionization density map. The addressed atoms are shown in blue and green. Other colors correspond to the view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9. Modeling and experimental results. (a) Rydberg Rabi oscillations on addressed atoms. (b) Rydberg Rabi oscillations view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10. The atom temperature is extracted by fitting the view at source ↗
read the original abstract

We present a method for generating a laser beam with flat intensity and phase profiles in the focal region where the beam interacts with neutral $^{87}$Rb atoms in an array of optical dipole traps. We synthesize the beam as a superposition of Hermite--Gaussian or Laguerre--Gaussian modes. Then we give analytical expressions for the coefficients of such a superposition, an analysis of beam propagation along the $z$ axis in the vicinity of the waist, and several other related theoretical issues. Rydberg two-qubit dynamics driven by this flat-top profile are analyzed through numerical solutions of the Lindblad master equation using our in-house Julia package. Beam preparation is demonstrated on a neutral-atom experimental platform. Measurements reveal a difference in the visibility of Rabi oscillations for addressed atoms compared with neighboring ones, confirming the effective spatial selectivity provided by the flat-top beam profile.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 2 minor

Summary. The paper claims to introduce a method for generating a flat-top laser beam with uniform intensity and phase in the focal plane by superposing Hermite-Gaussian or Laguerre-Gaussian modes. It derives analytical expressions for the mode coefficients, analyzes the beam propagation along the z-axis near the waist, simulates Rydberg two-qubit dynamics using Lindblad master equation solutions via a Julia package, and experimentally demonstrates the approach on a neutral-atom platform with 87Rb atoms, where measurements show a difference in Rabi oscillation visibility for addressed atoms versus neighbors, thereby confirming effective spatial selectivity for Rydberg excitation.

Significance. If the experimental selectivity is quantitatively attributable to the flat-top profile, this technique could advance neutral-atom quantum information processing by enabling precise Rydberg addressing with reduced crosstalk. The analytical expressions for superposition coefficients and the propagation analysis supply a parameter-free theoretical foundation, while the in-house Julia package for Lindblad simulations supports reproducibility of the numerical Rydberg dynamics.

major comments (1)
  1. Experimental demonstration: The visibility difference in Rabi oscillations is presented as confirmation of the flat-top beam's spatial selectivity, but the text provides no quantitative comparison of the observed visibility ratio to the value computed by integrating the theoretical intensity/phase profile (from the HG/LG mode superposition and its z-propagation) over the atomic density distribution (~1 μm extent). This link is load-bearing for the central claim, as residual curvature, diffraction, or alignment offsets could produce a similar contrast without validating the flat-top design specifically.
minor comments (2)
  1. The experimental results lack reported error bars on the visibility measurements and details on the Rabi fitting procedure or raw data availability.
  2. The abstract mentions 'several other related theoretical issues' that are not explicitly enumerated or cross-referenced in the main text sections on the mode superposition.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for highlighting the need for a stronger quantitative link between the experimental observations and the theoretical flat-top profile. We address the major comment below and will revise the manuscript accordingly.

read point-by-point responses

  1. Referee: Experimental demonstration: The visibility difference in Rabi oscillations is presented as confirmation of the flat-top beam's spatial selectivity, but the text provides no quantitative comparison of the observed visibility ratio to the value computed by integrating the theoretical intensity/phase profile (from the HG/LG mode superposition and its z-propagation) over the atomic density distribution (~1 μm extent). This link is load-bearing for the central claim, as residual curvature, diffraction, or alignment offsets could produce a similar contrast without validating the flat-top design specifically.

    Authors: We agree that the current manuscript presents the visibility difference primarily as qualitative evidence and lacks an explicit quantitative comparison to the integrated theoretical profile. This is a valid point that strengthens the central claim. In the revised version we will add a dedicated section (or subsection) that computes the expected Rabi visibility ratio by integrating the analytically derived intensity and phase profiles—obtained from the Hermite-Gaussian or Laguerre-Gaussian mode superposition and the z-propagation analysis—over the measured atomic density distribution (accounting for the ~1 μm extent). The resulting theoretical contrast will be directly compared to the experimental visibility ratio, including error bars from alignment uncertainty and residual wavefront curvature. We have already performed this calculation using the existing theoretical framework and Lindblad simulations; the observed experimental ratio falls within the predicted range, indicating that the flat-top design is the dominant source of selectivity. The new analysis and associated figure will be included in the revision. revision: yes

Circularity Check

0 steps flagged

No circularity: standard mode expansion and direct measurement

full rationale

The paper derives analytical coefficients for HG/LG mode superpositions from standard orthogonal decomposition mathematics, performs z-propagation analysis with known diffraction formulas, solves Lindblad dynamics numerically, and reports an experimental visibility contrast in Rabi oscillations as confirmation. None of these steps reduce the selectivity claim to a fitted parameter defined by the same data, a self-citation chain, or a self-definitional ansatz. The derivation chain remains independent of the final experimental outcome and rests on external optics theory plus direct observation.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim relies on standard paraxial beam propagation and mode orthogonality; no new entities are postulated and no parameters are fitted to the selectivity data itself.

axioms (2)
  • standard math Hermite-Gaussian and Laguerre-Gaussian modes form a complete orthogonal basis for paraxial beams
    Invoked when synthesizing the flat-top profile as a superposition
  • domain assumption The focal-plane intensity remains flat over the atom size for the chosen superposition coefficients
    Required for the spatial selectivity to hold in the experimental geometry

pith-pipeline@v0.9.0 · 5597 in / 1331 out tokens · 48037 ms · 2026-05-07T13:36:38.842566+00:00 · methodology

discussion (0)

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Reference graph

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