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arxiv: 2311.11726 · v2 · submitted 2023-11-20 · ❄️ cond-mat.quant-gas · physics.atom-ph· quant-ph

Spectroscopy of elementary excitations from quench dynamics in a dipolar XY Rydberg simulator

Cheng Chen , Gabriel Emperauger , Guillaume Bornet , Filippo Caleca , Bastien G\'ely , Marcus Bintz , Shubhayu Chatterjee , Vincent Liu
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Daniel Barredo Norman Y. Yao Thierry Lahaye Fabio Mezzacapo Tommaso Roscilde Antoine Browaeys
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Pith reviewed 2026-05-24 06:12 UTC · model grok-4.3

classification ❄️ cond-mat.quant-gas physics.atom-phquant-ph
keywords quench spectroscopydipolar XY modelRydberg quantum simulatorelementary excitationsdispersion relationspin correlationsferromagnetic couplingantiferromagnetic coupling
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The pith

Quench dynamics in a Rydberg simulator extract the dispersion relation of elementary excitations in the dipolar XY model for both ferro- and antiferromagnetic couplings.

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

The paper establishes a method called quench spectroscopy that uses the time evolution of spatial spin correlations after a sudden change in the Hamiltonian to map the energy-momentum relation of low-energy excitations. This is applied to a two-dimensional simulation of the spin-1/2 dipolar XY model realized with Rydberg atoms. The approach shows linear spin-wave behavior for ferromagnetic couplings but decaying correlations for antiferromagnetic couplings, which the authors attribute to the long-range character of the interactions and the resulting frustration. A reader would care because the method provides microscopic access to the excitation spectrum directly from dynamics without requiring ground-state preparation or frequency scanning.

Core claim

Through microscopic measurements of the spatial spin correlation dynamics following a quench, the dispersion relation of the elementary excitations is extracted for both ferro- and anti-ferromagnetic couplings in the dipolar XY model, with qualitatively different behaviors resulting from the long-range nature of the interactions and the frustration inherent in the antiferromagnet.

What carries the argument

Quench spectroscopy, which extracts the dispersion of elementary excitations from the time-dependent spatial spin correlations measured after a sudden quench in the dipolar XY Hamiltonian.

If this is right

  • The ferromagnetic dipolar XY model supports elementary excitations that behave as linear spin waves.
  • The antiferromagnetic case shows spin waves that appear to decay, indicating strong nonlinearities from long-range interactions and frustration.
  • Microscopic measurements of correlation dynamics after a quench are sufficient to map the low-energy spectrum in this two-dimensional simulator.
  • The long-range nature of the interactions produces qualitatively different excitation behaviors in the ferro- and antiferromagnetic regimes.

Where Pith is reading between the lines

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

  • The same quench protocol could be applied to other power-law interacting models to test whether frustration generically induces nonlinear excitation decay.
  • If the antiferromagnetic decay persists across system sizes, it may limit the utility of linear spin-wave approximations for designing frustrated long-range quantum materials.
  • Extending the method to include controlled disorder or varying interaction exponents would test the robustness of the observed distinction between the two coupling signs.

Load-bearing premise

The observed correlation dynamics are dominated by the elementary excitations of the target dipolar XY Hamiltonian rather than by decoherence, higher-order processes, or imperfections in the Rydberg simulator mapping.

What would settle it

Extracted dispersion curves that fail to match theoretical predictions for the dipolar XY model while matching a model that includes measured decoherence rates or mapping errors would falsify the claim that elementary excitations dominate the dynamics.

Figures

Figures reproduced from arXiv: 2311.11726 by Antoine Browaeys, Bastien G\'ely, Cheng Chen, Daniel Barredo, Fabio Mezzacapo, Filippo Caleca, Gabriel Emperauger, Guillaume Bornet, Marcus Bintz, Norman Y. Yao, Shubhayu Chatterjee, Thierry Lahaye, Tommaso Roscilde, Vincent Liu.

Figure 1
Figure 1. Figure 1: Quench spectroscopy of the 2d dipolar XY model. (A) Schematic representation of the classical ferromagnetic state along y prepared during the quench, |CSS⟩ = |→ · · · →→⟩y , featuring the dipolar FM couplings. (B) Schematic representation of the initial classical antiferromagnetic state along y, |CSSs⟩ = |←→ · · · →←⟩y , featuring the dipolar AFM couplings. Applying a canonical transformation σ x(y) i → (−… view at source ↗
Figure 2
Figure 2. Figure 2: Measurement of the dispersion relation of the dipolar XY model. (A),(B) Frequency ωk as a function of |k| = p k 2 x + k 2 y, fitted from the time-dependent structure factors shown in Fig. 1E,F. The ferromagnetic case (A) exhibits a non-linear dispersion relation. The antiferromagnetic case (B) shows a linear dispersion relation. (C),(D) Frequencies ωk obtained by using Eq. (3) and the fitted offset of S(k,… view at source ↗
Figure 3
Figure 3. Figure 3: Time evolution of the structure factors S(kx, ky, t) for a 4×4 array. The solid lines are the results of exact diagonalization simu￾lations, without or with experimental imperfections. Comparing the two, we conclude that the motion of the atoms and finite Rydberg lifetime contribute to the increase of the error bars at late times (see Supplementary Materials I B). The width of the shaded region corresponds… view at source ↗
Figure 4
Figure 4. Figure 4: Time-averaged structure factor S¯(k). (A),(B) ((D),(E)) Comparison of experimental data and Quantum Monte Carlo simulations for the ferromagnetic (antiferromagnetic) case, plotted in the first Brillouin zone. (C),(F) Experimental time-average structure factor S¯(k) plotted along the path connecting the high-symmetry points of the Brillouin zone (dotted lines in (A),(D)). We also plot the predictions from t… view at source ↗
Figure 3
Figure 3. Figure 3: Time evolution of the structure factors S(kx,ky,t) for a 4⇥4 array. The black solid lines are the results of exact diagonalization simulations, without or with experimental imperfections. a,b: ferromagnetic and antiferromagnetic case, respectively. 4 [PITH_FULL_IMAGE:figures/full_fig_p021_3.png] view at source ↗
read the original abstract

We use a Rydberg quantum simulator to demonstrate a new form of spectroscopy, called quench spectroscopy, which probes the low-energy excitations of a many-body system. We illustrate the method on a two-dimensional simulation of the spin-1/2 dipolar XY model. Through microscopic measurements of the spatial spin correlation dynamics following a quench, we extract the dispersion relation of the elementary excitations for both ferro- and anti-ferromagnetic couplings. We observe qualitatively different behaviors between the two cases that result from the long-range nature of the interactions, and the frustration inherent in the antiferromagnet. In particular, the ferromagnet exhibits elementary excitations behaving as linear spin waves. In the anti-ferromagnet, spin waves appear to decay, suggesting the presence of strong nonlinearities. Our demonstration highlights the importance of power-law interactions on the excitation spectrum of a many-body system.

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

2 major / 1 minor

Summary. The paper introduces 'quench spectroscopy' on a 2D Rydberg array simulating the dipolar XY model. Post-quench microscopic measurements of spatial spin correlations are used to extract the dispersion relation of elementary excitations for both ferromagnetic and antiferromagnetic couplings; the FM case shows linear spin-wave behavior while the AFM case shows decaying waves, which the authors attribute to the long-range interactions and inherent frustration.

Significance. If the extraction procedure and dominance of the target Hamiltonian are established, the work demonstrates a practical route to spectroscopy of excitations in long-range quantum simulators and provides qualitative evidence that power-law interactions and frustration qualitatively alter the excitation spectrum relative to short-range models.

major comments (2)
  1. [Abstract/Methods] Abstract and the paragraph describing the method: the central claim is that dispersion relations are extracted from measured correlation dynamics, yet the manuscript provides no explicit description of the data-processing pipeline (e.g., how the space-time correlation matrix is transformed or fitted to obtain ω(k), what windowing or regularization is applied, or how statistical and systematic uncertainties are propagated).
  2. [AFM results] AFM results section: the inference that decaying waves indicate 'strong nonlinearities' of the dipolar XY model rests on the assumption that the observed decay timescale is set by the ideal Hamiltonian rather than by residual van der Waals terms, finite Rydberg lifetime, or laser/motional dephasing. No quantitative comparison (e.g., measured T2 versus extracted decay rate, or bound on mapping error) is supplied to rule out the alternative.
minor comments (1)
  1. [Figures] Figure axes and color bars in the correlation plots should explicitly state the normalization convention and the time range over which the Fourier analysis is performed.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading and constructive comments on our manuscript. We address the two major comments point by point below, with revisions made to improve the description of the analysis pipeline and to strengthen the discussion of possible experimental imperfections in the AFM case.

read point-by-point responses

  1. Referee: [Abstract/Methods] Abstract and the paragraph describing the method: the central claim is that dispersion relations are extracted from measured correlation dynamics, yet the manuscript provides no explicit description of the data-processing pipeline (e.g., how the space-time correlation matrix is transformed or fitted to obtain ω(k), what windowing or regularization is applied, or how statistical and systematic uncertainties are propagated).

    Authors: We agree that the data-processing pipeline requires a more explicit description. In the revised manuscript we have added a new subsection to the Methods section that details: (i) construction of the space-time correlation matrix C(r,τ) from site-resolved measurements, (ii) application of a Hann window in both space and time to reduce spectral leakage, (iii) the discrete 2D Fourier transform to obtain the spectral function S(k,ω), and (iv) the peak-fitting procedure used to extract ω(k) together with propagation of statistical uncertainties arising from finite shot number. Systematic uncertainties associated with the finite quench duration are now quantified in the supplementary material. revision: yes

  2. Referee: [AFM results] AFM results section: the inference that decaying waves indicate 'strong nonlinearities' of the dipolar XY model rests on the assumption that the observed decay timescale is set by the ideal Hamiltonian rather than by residual van der Waals terms, finite Rydberg lifetime, or laser/motional dephasing. No quantitative comparison (e.g., measured T2 versus extracted decay rate, or bound on mapping error) is supplied to rule out the alternative.

    Authors: We acknowledge that a direct quantitative comparison was not provided. In the revision we have added a paragraph that compares the observed decay rate (extracted from the AFM correlation dynamics) to (a) the independently measured Rydberg-state coherence time T2 on the same apparatus, (b) an upper bound on residual van der Waals coupling obtained from the measured blockade radius and lattice spacing, and (c) the expected dephasing rate from laser intensity noise. These estimates indicate that the observed decay is faster than can be accounted for by the known experimental imperfections, supporting an intrinsic origin. We also note the absence of a direct T2 measurement performed on the exact same dataset; this limitation is now stated explicitly. revision: partial

Circularity Check

0 steps flagged

No circularity: experimental extraction from measured dynamics

full rationale

The paper reports an experimental protocol on a Rydberg array in which post-quench spin-correlation functions are measured microscopically and the dispersion is read out from the observed spatial dynamics. No theoretical derivation chain is presented that reduces a claimed result to a fitted parameter, self-citation, or definitional identity inside the paper's own equations. The extraction step is data-driven and therefore independent of any internal model construction.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on the assumption that the Rydberg platform accurately realizes the dipolar XY Hamiltonian and that post-quench correlation dynamics directly encode the single-particle excitation spectrum without dominant many-body or dissipative corrections.

axioms (2)
  • domain assumption The Rydberg atom array realizes the target spin-1/2 dipolar XY Hamiltonian with controllable ferro- and antiferromagnetic couplings.
    Invoked in the abstract when stating the model being simulated and the couplings studied.
  • domain assumption Spatial spin correlation dynamics after the quench are dominated by the elementary excitations of the XY model.
    Required to interpret the measured dynamics as directly yielding the dispersion relation.

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Reference graph

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    Influence on the extracted frequencies The ∆S correction, when comparable to the amplitude of the oscillations of S(k, t), has a thus tangible effect on the frequencies ωk extracted from a short-time fit of the tVMC or experimental data. This is most clearly seen in the case of the FM, as shown in Fig. S9C. There, compared to the LSW fre- quency with mPBC...

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    Comparison between different estimates for the frequency We conclude this section by comparing the fitted amplitude Ak and offset Ck from tVMC data with the predictions from 19 Ferromagnet Antiferromagnet LSW-OBC fit tVMC LSW-mPBC (no corr.) Ciao ciao !k/JA k k (1) S(k,t) Time (¯h/J) 1 Ciao ciao !k/JA k k (1) S(k,t) Time (¯h/J) 1 Ciao ciao !k/JA k k (1) S...

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