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arxiv: 2606.09720 · v1 · pith:NCNE63QLnew · submitted 2026-06-08 · ⚛️ physics.atom-ph · cond-mat.quant-gas· physics.ins-det· physics.optics

Long-term laser frequency stabilization with an FPGA-controlled scanning cavity

R. Forti , R. Panza , A. Muzi Falconi , S. Sbernardori , A. Vard\'e , M. Marinelli , A. Carini , F. Scazza This is my paper

Pith reviewed 2026-06-27 14:13 UTC · model grok-4.3

classification ⚛️ physics.atom-ph cond-mat.quant-gasphysics.ins-detphysics.optics
keywords laser frequency stabilizationscanning cavityFPGAFabry-Perotacousto-optic modulatorytterbiummagneto-optical trapstability transfer
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The pith

An FPGA-controlled scanning Fabry-Perot cavity stabilizes multiple lasers to one reference laser with sub-MHz stability over hours.

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

The paper presents an FPGA-based scanning transfer cavity lock that stabilizes several lasers simultaneously to a single reference by continuously scanning a Fabry-Perot cavity and applying feedback based on transmission peaks. The FPGA handles scanning, detection, and actuation with low latency, enabling independent control loops for each laser in one device. Heterodyne measurements track performance from seconds to twenty hours, and the system is validated by spectroscopy of ytterbium atoms in a magneto-optical trap, showing sub-MHz absolute frequency stability across roughly 150 nm in the visible range. A new fast-scanning method uses acousto-optic modulator frequency modulation instead of piezo scanning to increase locking bandwidth and reach sub-100 kHz long-term stability.

Core claim

The central claim is that the FPGA implementation of the scanning transfer cavity lock achieves simultaneous stabilization of multiple lasers to one reference laser, with end-to-end performance validated through atomic spectroscopy of ytterbium atoms in a magneto-optical trap demonstrating sub-MHz absolute frequency stability over several hours for stability transfer across ∼150 nm, and that the AOM-based fast-scanning approach reaches sub-100 kHz long-term stability while offering perspectives for laser-line narrowing.

What carries the argument

The FPGA architecture that simultaneously performs cavity scanning, peak detection, and feedback actuation to support independent control loops for several lasers.

Load-bearing premise

The reference laser stays sufficiently stable over twenty-hour timescales and the cavity mode structure plus AOM modulation introduce no unaccounted systematic frequency shifts.

What would settle it

A heterodyne or MOT spectroscopy measurement showing absolute frequency deviations larger than one megahertz over several hours would disprove the long-term stability transfer claim.

Figures

Figures reproduced from arXiv: 2606.09720 by A. Carini, A. Muzi Falconi, A. Vard\'e, F. Scazza, M. Marinelli, R. Forti, R. Panza, S. Sbernardori.

Figure 1
Figure 1. Figure 1: FIG. 1. Simplified scheme of the STCL system. (a) Block diagram of [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Block diagram of the internal operations executed by the [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Screenshot of the graphical user interface of the newly implemented [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Heterodyne measurements between reference and controlled lasers at 556 nm. (a) Sketch of the acquisition setup. The two laser beams [PITH_FULL_IMAGE:figures/full_fig_p007_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Power spectral density (PSD) of the beat note frequency [PITH_FULL_IMAGE:figures/full_fig_p008_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. STCL long-term absolute frequency stability performance from atomic spectroscopy at 399 nm. (a) Typical spectroscopic curves [PITH_FULL_IMAGE:figures/full_fig_p009_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. Heterodyne measurements between reference and controlled [PITH_FULL_IMAGE:figures/full_fig_p010_7.png] view at source ↗
read the original abstract

We present an FPGA-based implementation of a scanning transfer cavity lock (STCL) for laser frequency stabilization, allowing for the simultaneous stabilization of multiple laser sources with respect to a single reference laser by means of a continuously scanned Fabry-Perot cavity. By exploiting the FPGA architecture to simultaneously perform cavity scanning, peak detection, and feedback actuation, we minimize latency and allow independent control loops for several lasers within a single device, offering direct scalability. The system performance is analyzed through heterodyne measurements from short ($<1\,$s) to long ($\sim20\,$hours) timescales. The end-to-end locking performance is validated through atomic spectroscopy of ytterbium atoms in a magneto-optical trap, demonstrating sub-MHz absolute frequency stability over several hours for the stability transfer across $\sim 150\,$nm in the visible-wavelength range. Importantly, we demonstrate a novel fast-scanning approach based on acousto-optic modulator (AOM) frequency modulation, enabled by the low detection latency of our FPGA implementation. This increases significantly the effective locking bandwidth and reduces the intrinsic noise of the system with respect to standard piezo-actuated scanning of the cavity length, allowing to reach sub-$100\,$kHz long-term stability and offering perspectives for laser-line narrowing. Owing to its modularity, low cost and ease of implementation within the open-source PyRPL firmware package for the STEMlab Red Pitaya platform, our architecture offers a compact and flexible alternative to existing STCL and locked-cavity implementations, providing a practical approach to the operation of a state-of-the-art cold-atom experiment without relying on any atomic references for laser stabilization.

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 / 2 minor

Summary. The manuscript describes an FPGA-based implementation of a scanning transfer cavity lock (STCL) that stabilizes multiple lasers to a single reference via continuous scanning of a Fabry-Perot cavity. Heterodyne beat measurements characterize short- to long-term (~20 h) performance, while ytterbium MOT spectroscopy validates end-to-end absolute frequency stability, claiming sub-MHz transfer across ~150 nm and sub-100 kHz long-term stability using a novel AOM-based fast-scanning method. The system is presented as modular, low-cost, and implemented in open-source PyRPL firmware for the Red Pitaya platform.

Significance. If the stability claims hold after addressing the error budget, the work provides a practical, scalable alternative to existing STCL and locked-cavity systems for cold-atom experiments, eliminating the need for atomic references while improving locking bandwidth. The open-source aspect and simultaneous multi-laser control are clear strengths for experimental reproducibility.

major comments (2)
  1. [Results on heterodyne measurements and MOT validation] The long-term stability claims (sub-MHz over hours, sub-100 kHz with AOM) rest on heterodyne and MOT data, but the manuscript provides no independent characterization of the reference laser (e.g., against a frequency comb) on ~20-hour timescales. Without this, the MOT spectroscopy cannot unambiguously isolate the STCL transfer performance from reference drift.
  2. [Performance analysis and validation sections] No quantitative error budget is presented that separates contributions from cavity mode structure, AOM frequency modulation, and potential differential shifts. This is load-bearing for the absolute stability claims in the abstract and MOT section.
minor comments (2)
  1. [MOT validation paragraph] Clarify the exact definition of 'absolute frequency stability' in the MOT spectroscopy context and how it accounts for any residual reference drift.
  2. [Abstract and results] The abstract mentions 'several hours' while the text references '~20 hours'; ensure consistent reporting of timescales across figures and text.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading and constructive comments, which help clarify the presentation of our results. We address the major comments point by point below.

read point-by-point responses

  1. Referee: The long-term stability claims (sub-MHz over hours, sub-100 kHz with AOM) rest on heterodyne and MOT data, but the manuscript provides no independent characterization of the reference laser (e.g., against a frequency comb) on ~20-hour timescales. Without this, the MOT spectroscopy cannot unambiguously isolate the STCL transfer performance from reference drift.

    Authors: We agree that an independent long-term characterization of the reference laser (e.g., via frequency comb) would allow clearer separation of transfer-cavity performance from reference drift. The Yb MOT spectroscopy provides an absolute frequency anchor independent of the cavity, and the heterodyne data quantify the relative transfer between reference and locked lasers. The reported sub-MHz absolute stability is therefore an end-to-end system result. To address the concern, we will add explicit discussion in the revised manuscript clarifying the assumptions about reference-laser stability and the role of the MOT as the absolute reference. revision: partial

  2. Referee: No quantitative error budget is presented that separates contributions from cavity mode structure, AOM frequency modulation, and potential differential shifts. This is load-bearing for the absolute stability claims in the abstract and MOT section.

    Authors: We acknowledge that a quantitative error budget would strengthen the absolute-stability claims. In the revised manuscript we will insert a dedicated error-budget subsection that estimates the individual contributions from cavity mode structure, AOM frequency modulation, and differential shifts, drawing on the existing heterodyne and MOT datasets together with simple analytic estimates. revision: yes

Circularity Check

0 steps flagged

No circularity: experimental validation rests on independent measurements

full rationale

The paper describes an FPGA-based STCL implementation and reports performance via heterodyne beats (short to ~20 h timescales) plus Yb MOT spectroscopy for absolute stability across ~150 nm. These are direct experimental readouts, not model predictions, fitted parameters renamed as forecasts, or self-referential definitions. No equations or claims reduce by construction to inputs; no load-bearing self-citations or uniqueness theorems appear. The derivation chain is absent because the work is hardware-plus-measurement, self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The abstract introduces no new free parameters or invented entities; relies on standard assumptions of cavity optics and laser locking.

axioms (1)
  • domain assumption Reference laser frequency remains stable enough over multi-hour timescales to serve as absolute anchor for transferred stability.
    Implicit in all transfer-cavity claims; required for the reported long-term numbers to hold.

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discussion (0)

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