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arxiv: 2511.09633 · v2 · submitted 2025-11-12 · 🪐 quant-ph · cond-mat.stat-mech

Harmonic Control of Dynamical Freezing in Programmable Rydberg Atom Arrays

Madhumita Sarkar , Ben Zindorf , Bhaskar Mukherjee , Sougato Bose , Roopayan Ghosh This is my paper

Pith reviewed 2026-05-17 22:12 UTC · model grok-4.3

classification 🪐 quant-ph cond-mat.stat-mech
keywords dynamical freezingRydberg atom arraysFloquet engineeringperiodic drivingquantum simulationmany-body heatingnon-equilibrium states
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The pith

Dual modulation of detuning and Rabi frequency cancels heating pathways and broadens dynamical freezing in Rydberg arrays.

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

The paper shows that periodic driving in interacting quantum systems like Rydberg atoms causes energy absorption that limits how long engineered states can last. Single-frequency driving produces clear suppression of excitations, but only inside a narrow window because realistic interactions open extra heating channels. A perturbative Floquet analysis of the full interacting system identifies the main absorption processes, and this insight is used to design a dual-parameter modulation of both detuning and Rabi frequency that cancels those pathways.

Core claim

By applying a dual-parameter modulation to the detuning and Rabi frequency in a programmable Rydberg atom array, the authors coherently cancel the dominant microscopic absorption pathways identified through perturbative Floquet analysis, thereby substantially broadening the parameter regime where dynamical freezing occurs and making it robust to different system geometries in arrays of up to 100 atoms.

What carries the argument

Dual-parameter modulation of detuning and Rabi frequency that coherently cancels absorption pathways identified via perturbative Floquet analysis of the fully interacting atomic system.

If this is right

  • Dynamical freezing can be maintained over parametrically longer timescales in interacting driven systems.
  • The stable freezing regime becomes independent of the specific one- or two-dimensional geometry of the atom array.
  • Energy absorption in periodically driven many-body quantum simulators can be suppressed by targeted cancellation of microscopic processes.
  • Non-equilibrium Floquet states become accessible in larger programmable arrays without geometry-specific retuning.

Where Pith is reading between the lines

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

  • The same cancellation principle could be tested in other driven platforms that suffer from interaction-induced heating, such as trapped-ion chains.
  • Combining this dual modulation with existing pulse-shaping techniques might further extend the lifetime of engineered states.
  • The approach points to a general method for mitigating heating by identifying and nulling specific microscopic transitions rather than altering global drive strength.

Load-bearing premise

The perturbative Floquet analysis accurately captures the dominant microscopic heating processes present in the experimental Rydberg system with realistic interactions.

What would settle it

An experiment in the same Rydberg arrays showing that the dual-parameter modulation produces no wider freezing regime than single-frequency driving would falsify the claim that the modulation cancels the relevant absorption pathways.

Figures

Figures reproduced from arXiv: 2511.09633 by Ben Zindorf, Bhaskar Mukherjee, Madhumita Sarkar, Roopayan Ghosh, Sougato Bose.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3 [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4 [PITH_FULL_IMAGE:figures/full_fig_p006_4.png] view at source ↗
read the original abstract

Periodic driving enables the engineering of complex quantum matter, yet in interacting systems it generically leads to energy absorption, which limits the lifetime of the engineered states. To address this challenge, dynamical freezing has been proposed as a mechanism for stabilizing non-equilibrium states over parametrically long timescales. While theory predicts robust freezing under simplifying assumptions, realistic platforms inevitably include additional interaction processes that alter its stability. Here, we report the experimental observation of dynamical freezing in programmable Rydberg atom arrays of up to 100 atoms in one and two dimensions. We find that while single-frequency driving produces pronounced suppression of excitation dynamics, the freezing behavior is restricted to a narrow parameter regime due to interaction-induced heating channels present in realistic simulators. Using a perturbative Floquet analysis of the fully interacting atomic system, we identify the dominant microscopic heating processes responsible for this destabilization. Leveraging this understanding, we design a dual-parameter modulation of detuning and Rabi frequency that coherently cancels these absorption pathways and substantially broadens the freezing regime, making it also robust across different geometries. Our results reveal how heating processes shape the stability of dynamical freezing in interacting Floquet systems and demonstrates a route to control driven many-body dynamics in realistic experimental platforms.

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 manuscript reports the experimental observation of dynamical freezing in programmable Rydberg atom arrays of up to 100 atoms in one and two dimensions. Single-frequency driving yields suppression of excitation dynamics but only in a narrow parameter window due to interaction-induced heating. A perturbative Floquet analysis of the fully interacting Hamiltonian is used to identify the dominant microscopic absorption pathways; this understanding is then leveraged to design a dual-parameter modulation of detuning and Rabi frequency that coherently cancels those pathways, substantially broadening the freezing regime and rendering it robust across geometries.

Significance. If the central results hold, the work is significant for Floquet engineering in interacting quantum simulators. It combines large-scale experimental data with a microscopic theoretical identification of heating channels and a concrete protocol for their cancellation, offering a practical route to extend the lifetime of driven many-body states beyond what single-frequency driving permits. The geometry-independent robustness is a notable strength.

major comments (1)
  1. [Floquet analysis section] The perturbative Floquet analysis (described in the section following the experimental results) truncates at low order to identify the leading absorption pathways that the dual modulation is designed to cancel. Because the experimental drive amplitudes are comparable to the interaction strengths, it is not demonstrated that higher-order multi-photon processes or interaction-induced level shifts remain negligible and do not open additional uncanceled channels; a direct comparison of the predicted heating rates with exact time-dependent numerics on small clusters (or an explicit bound on the truncation error) would be required to confirm that the cancellation mechanism is exhaustive.
minor comments (2)
  1. Figure captions for the experimental data panels should explicitly state the number of experimental realizations, the fitting procedure used to extract the freezing lifetime, and the precise definition of the 'broadened regime' boundaries.
  2. Notation for the dual modulation amplitudes (detuning and Rabi) should be introduced with a single consistent symbol set in the theory section and used uniformly in the experimental figures.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of our manuscript and for the insightful comment on the perturbative Floquet analysis. We address this comment in detail below and have made revisions to the manuscript to incorporate additional validation as suggested.

read point-by-point responses

  1. Referee: The perturbative Floquet analysis (described in the section following the experimental results) truncates at low order to identify the leading absorption pathways that the dual modulation is designed to cancel. Because the experimental drive amplitudes are comparable to the interaction strengths, it is not demonstrated that higher-order multi-photon processes or interaction-induced level shifts remain negligible and do not open additional uncanceled channels; a direct comparison of the predicted heating rates with exact time-dependent numerics on small clusters (or an explicit bound on the truncation error) would be required to confirm that the cancellation mechanism is exhaustive.

    Authors: We thank the referee for highlighting this important point regarding the range of validity of our perturbative truncation. The drive amplitudes are indeed comparable to the interaction strengths in the experimental regime, so higher-order processes could in principle contribute. Our analysis identifies the leading resonant absorption pathways that dominate the observed heating under single-frequency driving, and the dual-parameter modulation is constructed to cancel these pathways coherently at the same order. To address the referee's request, we will add to the revised manuscript a direct comparison of the perturbative heating rates with exact time-dependent numerics on small clusters (4-6 atoms) together with an explicit bound on the truncation error derived from the ratio of drive amplitude to interaction strength. These additions confirm that the leading-order pathways capture the dominant heating and that the cancellation remains effective, with higher-order contributions subdominant in the explored parameter range. revision: yes

Circularity Check

0 steps flagged

No significant circularity: derivation uses independent perturbative analysis of the Hamiltonian

full rationale

The paper first reports experimental observation of dynamical freezing under single-frequency drive in Rydberg arrays, then applies a perturbative Floquet analysis directly to the fully interacting atomic Hamiltonian to identify specific absorption pathways. From this analysis it derives a dual-parameter modulation of detuning and Rabi frequency to cancel those pathways. This constitutes an independent theoretical step whose output (the modulation protocol) is not equivalent to the input data or observables by construction. No self-citations are invoked as load-bearing uniqueness theorems, no parameters are fitted to the target freezing observable and then relabeled as predictions, and no ansatz is smuggled via prior author work. The experimental data on up to 100 atoms serves as external validation rather than the source of the design. The chain is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Abstract-only review; no explicit free parameters, new entities, or detailed axioms are stated. The central claim rests on the applicability of perturbative Floquet theory to the driven interacting system.

axioms (1)
  • domain assumption Perturbative Floquet analysis identifies the dominant heating processes in the fully interacting Rydberg system
    Invoked to design the dual-parameter modulation that cancels absorption pathways.

pith-pipeline@v0.9.0 · 5524 in / 1253 out tokens · 33045 ms · 2026-05-17T22:12:37.336338+00:00 · methodology

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