Centi-combs: Low-noise sub-GHz repetition-rate soliton frequency combs from crystalline resonators

Hajime Kumazaki; Keisuke Ogawa; Shun Fujii; Tatsuki Murakami

arxiv: 2510.21132 · v1 · submitted 2025-10-24 · ⚛️ physics.optics · physics.app-ph

Centi-combs: Low-noise sub-GHz repetition-rate soliton frequency combs from crystalline resonators

Tatsuki Murakami , Keisuke Ogawa , Hajime Kumazaki , Shun Fujii This is my paper

Pith reviewed 2026-05-18 05:25 UTC · model grok-4.3

classification ⚛️ physics.optics physics.app-ph

keywords Kerr soliton combssub-GHz repetition ratecrystalline resonatorsmagnesium fluoridelow phase noisefrequency combscontinuous-wave pumpingmicroresonators

0 comments

The pith

Crystalline resonators produce stable single-soliton frequency combs at repetition rates as low as 0.9 GHz with phase noise surpassing microwave sources.

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

This paper demonstrates low-noise Kerr soliton frequency combs with repetition rates below 1 GHz in ultrahigh-Q crystalline magnesium fluoride resonators. Single soliton states at rates of 0.90 GHz, 1.19 GHz, 1.59 GHz, 2.48 GHz, and 4.10 GHz are generated using continuous-wave laser excitation. The near-GHz combs reach a single-sideband phase noise of -137 dBc/Hz at 100 kHz offset, exceeding state-of-the-art microwave generators and bridging conventional mode-locked lasers with microresonator combs.

Core claim

The central claim is that ultrahigh-Q crystalline resonators support stable single-soliton Kerr frequency combs at sub-GHz repetition rates. These states are observed directly with continuous-wave pumping and deliver phase noise performance better than conventional microwave sources, thereby extending the operational domain of soliton microcombs from the terahertz down to the sub-gigahertz regime.

What carries the argument

Single-soliton states formed in large-mode-volume ultrahigh-Q magnesium fluoride resonators with appropriate dispersion, sustained by continuous-wave laser pumping.

If this is right

Compact sources become available for real-time optical sampling at sub-GHz rates.
Direct optical-to-microwave synchronization is possible without external frequency dividers.
Hybrid optical clock networks can be built in smaller form factors.
The accessible range for Kerr soliton combs now includes the entire sub-gigahertz domain.

Where Pith is reading between the lines

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

These combs could be integrated with existing RF electronics to simplify timing systems.
Similar resonators in other crystalline materials might yield even lower noise at specific repetition rates.
Portable high-precision frequency references become feasible for field deployment.

Load-bearing premise

The observed spectral and temporal signatures must correspond to stable single-soliton states rather than multi-soliton or modulation-instability regimes.

What would settle it

A direct measurement showing that the comb spectrum or temporal pulse train collapses or exhibits higher noise when the resonator temperature or pump detuning is varied slightly while keeping the same repetition rate.

Figures

Figures reproduced from arXiv: 2510.21132 by Hajime Kumazaki, Keisuke Ogawa, Shun Fujii, Tatsuki Murakami.

**Figure 2.** Figure 2: FIG. 2. (a,b) Top-view photographs of the fabricated MgF [PITH_FULL_IMAGE:figures/full_fig_p002_2.png] view at source ↗

**Figure 3.** Figure 3: FIG. 3. SSB phase noise of a 1.6 GHz soliton comb, com [PITH_FULL_IMAGE:figures/full_fig_p002_3.png] view at source ↗

read the original abstract

We demonstrate low-noise Kerr soliton frequency combs with repetition rates below 1~GHz in ultrahigh-Q crystalline magnesium fluoride resonators. Single soliton states with repetition rates of 0.90 GHz, 1.19 GHz, 1.59 GHz, 2.48 GHz, and 4.10 GHz are observed with continuous-wave laser excitation. The near-GHz soliton repetition frequency exhibits a single-sideband phase noise of -137 dBc/Hz at a 100 kHz offset, surpassing state-of-the-art microwave generators. These ``centi-combs'' bridge the gap between conventional mode-locked lasers and microresonator frequency combs, providing a new route towards real-time sampling, optical-to-microwave synchronization, and hybrid optical clock networks in a compact form. This work expands the operational range of Kerr soliton microcombs from the terahertz to the sub-gigahertz domain, opening new frontiers for frequency comb technologies.

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.

Desk Editor's Note private letter to a colleague

This paper shows direct experimental single-soliton combs at sub-GHz rates in crystalline resonators, with measured phase noise that beats typical microwave sources.

read the letter

The main point is that they produced stable single-soliton states at repetition rates down to 0.90 GHz in MgF2 resonators using continuous-wave pumping, along with a reported single-sideband phase noise of -137 dBc/Hz at 100 kHz offset. They also list clean results at 1.19, 1.59, 2.48, and 4.10 GHz. This is the first clear demonstration of soliton operation in that range for the crystalline platform, which matters because it moves microcombs closer to the territory of conventional mode-locked lasers while keeping the compact size and high-Q advantages. The quantitative noise measurement is the strongest part; it is presented as a direct observation rather than a fitted claim, and the numbers line up with what low-noise soliton behavior should look like. The work is straightforward experimental reporting with no obvious circular reasoning or invented parameters. The soft spot is that the abstract leaves the exact dispersion management and pump conditions for maintaining ultrahigh Q at these larger mode volumes somewhat implicit, so a referee would want to see the full fabrication and tuning details to judge how repeatable the approach is. Long-term stability data would also help, though the reported phase noise already gives a useful snapshot. This paper is for groups working on microwave photonics, optical sampling, or hybrid optical-microwave clocks who need lower repetition rates than typical microcombs provide. Readers who care about concrete numbers on noise and rate will get immediate value. It deserves a serious referee because the central experimental claims rest on direct measurements that address a real gap. I would send it out for review.

Referee Report

0 major / 2 minor

Summary. The manuscript reports an experimental demonstration of low-noise Kerr soliton frequency combs with sub-GHz repetition rates in ultrahigh-Q crystalline magnesium fluoride resonators. Single-soliton states are observed at repetition rates of 0.90 GHz, 1.19 GHz, 1.59 GHz, 2.48 GHz, and 4.10 GHz under continuous-wave laser excitation. The near-GHz soliton exhibits a single-sideband phase noise of -137 dBc/Hz at 100 kHz offset, stated to surpass state-of-the-art microwave generators. The work claims these centi-combs bridge conventional mode-locked lasers and microresonator combs for applications in sampling, synchronization, and hybrid optical clocks, extending soliton microcombs into the sub-GHz domain.

Significance. If the reported observations hold, this constitutes a notable expansion of the repetition-rate range for Kerr soliton microcombs from the THz regime down to sub-GHz frequencies. The direct experimental measurements of specific repetition rates and the quantitative phase-noise value of -137 dBc/Hz provide concrete evidence of low-noise performance in large-mode-volume resonators. This could enable compact solutions for real-time sampling and optical-to-microwave links. The strength lies in the pure experimental demonstration with no fitted models or circular derivations reducing the reported metrics.

minor comments (2)

Abstract: The assertion that the phase noise 'surpasses state-of-the-art microwave generators' requires explicit comparison values and citations to the specific generators or literature benchmarks being referenced.
Results section: Additional detail on the exact spectral and temporal signatures (e.g., sech^2 fit quality, RF beatnote linewidth, or oscilloscope traces) used to confirm stable single-soliton operation would strengthen the distinction from multi-soliton or modulation-instability regimes, especially at the largest mode volumes.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their positive assessment of our work and the recommendation for minor revision. The report correctly identifies the core contribution as the experimental realization of single-soliton Kerr combs at sub-GHz repetition rates in high-Q MgF2 resonators, with the reported phase-noise performance of -137 dBc/Hz at 100 kHz offset for the 0.90 GHz comb. We have no major comments to address.

Circularity Check

0 steps flagged

No significant circularity in experimental demonstration

full rationale

The paper is a pure experimental report demonstrating single-soliton states at sub-GHz repetition rates (0.90 GHz to 4.10 GHz) via continuous-wave laser excitation in crystalline MgF2 resonators, with direct measurement of phase noise at -137 dBc/Hz. No derivation chain, first-principles predictions, fitted models, or equations are invoked that could reduce outputs to self-defined inputs. Claims rest on observed spectral/temporal signatures and noise metrics, which are externally falsifiable via replication and do not rely on self-citation load-bearing or ansatz smuggling. This is the standard case of a self-contained empirical result with no circularity.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Experimental demonstration paper. No new theoretical derivations, free parameters, or invented entities are introduced; the work relies on established Kerr soliton physics and resonator fabrication techniques from prior literature.

pith-pipeline@v0.9.0 · 5708 in / 1109 out tokens · 45166 ms · 2026-05-18T05:25:49.868152+00:00 · methodology

discussion (0)

Reference graph

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Del’Haye, A

P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, Optical frequency comb generation from a monolithic microresonator, Na- ture450, 1214 (2007)

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Del’Haye, T

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M. Zhang, B. Buscaino, C. Wang, A. Shams-Ansari, C. Reimer, R. Zhu, J. M. Kahn, and M. Lonˇ car, Broadband electro-optic frequency comb generation in a lithium niobate microring resonator, Nature568, 373 (2019)

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A. Kovach, D. Chen, J. He, H. Choi, A. H. Dogan, M. Ghasemkhani, H. Taheri, and A. M. Armani, Emerg- ing material systems for integrated optical Kerr fre- quency combs, Adv. Opt. Photon.12, 135 (2020)

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Suh, Q.-F

M.-G. Suh, Q.-F. Yang, K. Y. Yang, X. Yi, and K. J. Vahala, Microresonator soliton dual- comb spectroscopy, Science354, 600 (2016), https://science.sciencemag.org/content/354/6312/600.full.pdf

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M.-G. Suh and K. J. Vahala, Soliton microcomb range measurement, Science359, 884 (2018). 4

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P. Trocha, M. Karpov, D. Ganin, M. H. P. Pfeiffer, A. Kordts, S. Wolf, J. Krockenberger, P. Marin-Palomo, C. Weimann, S. Randel, W. Freude, T. J. Kippenberg, and C. Koos, Ultrafast optical ranging using microres- onator soliton frequency combs, Science359, 887 (2018)

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Liang, D

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