arxiv: 2605.09632 · v1 · submitted 2026-05-10 · 🪐 quant-ph · physics.ins-det

Recognition: 2 theorem links

· Lean Theorem

A Superconducting Levitating Oscillator with < 1 μHz Resonance Linewidth

M. Array\'as , J. L. Trueba , C. Uriarte , J. Clothier , C. C. E. Elmy , R. Schanen , D. E. Zmeev , \v{S}. Midlik

Authors on Pith no claims yet

Pith reviewed 2026-05-12 04:01 UTC · model grok-4.3

classification 🪐 quant-ph physics.ins-det

keywords levitated oscillatorsuperconducting levitationlow dissipationresonance linewidthmillikelvin temperaturesring-down timequantum isolationsuperfluid helium

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The pith

A milligram superconducting oscillator levitated at millikelvin temperatures achieves a resonance linewidth below 0.8 microhertz.

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

The paper reports construction of a levitated superconducting mass that oscillates with dissipation low enough for its stored energy to decay over more than 110 hours. This produces a resonance linewidth narrower than 0.8 μHz and demonstrates a nearly closed system at cryogenic temperatures. The setup avoids mechanical tethers, operates in a tunable magnetic trap, and can be combined with nuclear demagnetization for still lower temperatures. It also resolves drag forces at the femtonewton level from dilute 3He impurities in superfluid 4He.

Core claim

We have built a milligram-mass superconducting oscillator operating at millikelvin temperatures showing extremely low dissipation rate, with the oscillator ring-down time exceeding 110 hours. This corresponds to the resonance linewidth of less than 0.8 μHz. The experimental setup is highly tunable and is compatible with adiabatic nuclear demagnetisation, promising even lower temperatures and lower dissipation levels in the future.

What carries the argument

The magnetically levitated superconducting oscillator, which provides tether-free confinement at millikelvin temperatures to minimize external coupling.

If this is right

The device can resolve forces as small as a few femtonewtons from dilute impurities in superfluid helium.
Compatibility with nuclear demagnetization opens a path to still narrower linewidths at lower temperatures.
The absence of a mechanical tether satisfies the isolation requirement for laboratory tests of wavefunction collapse or quantum gravity on macroscopic objects.
The tunable magnetic trap allows systematic variation of trap frequency and geometry while preserving the low-dissipation regime.

Where Pith is reading between the lines

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

If the dissipation remains low at the microkelvin regime reachable by nuclear demagnetization, the oscillator could become sensitive to gravitational wave backgrounds or other weak fundamental interactions.
The same levitation geometry might be adapted to test whether macroscopic superposition states can be maintained long enough to observe interference.
Precision force sensing at this level could be extended to searches for new short-range forces or fifth-force candidates.

Load-bearing premise

The measured ring-down time arises from intrinsic material and vacuum dissipation rather than from undetected external noise, thermal fluctuations, or instrumental artifacts.

What would settle it

Repeating the ring-down measurement after deliberately introducing a controlled external damping mechanism or raising the temperature by a known amount and checking whether the linewidth increases proportionally.

Figures

Figures reproduced from arXiv: 2605.09632 by C. C. E. Elmy, C. Uriarte, D. E. Zmeev, J. Clothier, J. L. Trueba, M. Array\'as, R. Schanen, \v{S}. Midlik.

**Figure 2.** Figure 2: FIG. 2: Dissipation of the oscillator in liquid helium-4. The ring-down time is determined by the [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗

**Figure 3.** Figure 3: FIG. 3: Schematic of the levitation control system [12]. It contains two levitation coils (C1 and [PITH_FULL_IMAGE:figures/full_fig_p009_3.png] view at source ↗

**Figure 4.** Figure 4: FIG. 4: Experimental cell machined from Araldyte and glued together with Stycast 1266 can be [PITH_FULL_IMAGE:figures/full_fig_p010_4.png] view at source ↗

**Figure 5.** Figure 5: FIG. 5: Comparison of experimental and simulation results as a function of distance to the [PITH_FULL_IMAGE:figures/full_fig_p014_5.png] view at source ↗

**Figure 6.** Figure 6: FIG. 6: Detection system sketch. The transmission coil is located outside the cell at a vertical [PITH_FULL_IMAGE:figures/full_fig_p015_6.png] view at source ↗

**Figure 7.** Figure 7: FIG. 7: Signal amplitude as a function of distance to the receiver for three values of the [PITH_FULL_IMAGE:figures/full_fig_p016_7.png] view at source ↗

read the original abstract

Experiments aimed at quantifying the interface between quantum and classical physics necessarily require a high degree of isolation from the environment: wavefunction collapse and quantum gravity effects at laboratory scales are predicted to be very subtle. Ideally, such tests would be performed in a closed system at extremely low temperatures in order to rule out any external influence and thermal fluctuations. Cryogenic levitated macroscopic bodies are excellent candidates for an accurate laboratory approximation of such systems, as a tether to another body would violate the requirement for the system to be fully closed. Here we report a significant milestone on the way to a practically suitable approximation of such closed system. We have built a milligram-mass superconducting oscillator operating at millikelvin temperatures showing extremely low dissipation rate, with the oscillator ring-down time exceeding 110 hours. This corresponds to the resonance linewidth of less than 0.8 $\mu$Hz. The experimental setup is highly tunable and is compatible with adiabatic nuclear demagnetisation, promising even lower temperatures and lower dissipation levels in the future. We demonstrate the capability of our device by measuring drag from $^3$He impurities in superfluid $^4$He at a level of $\sim10^{-8}$ with the drag force in the femtonewton range.

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

The paper delivers a levitating superconducting oscillator with over 110-hour ring-down at millikelvin temperatures but the case for purely intrinsic dissipation still rests on incomplete exclusion of external channels.

read the letter

The main point is that they have a milligram-mass superconducting levitating oscillator running at millikelvin temperatures with a ring-down time above 110 hours, which maps to a linewidth below 0.8 μHz. That number stands out for anyone trying to push macroscopic isolation further. The setup is also designed to work with adiabatic nuclear demagnetization, so it has a clear path to even lower temperatures and dissipation. They back this up with a concrete demonstration: measuring drag from ³He impurities in superfluid ⁴He at the 10^{-8} level, down in the femtonewton range. That shows the device can actually resolve tiny forces, which is useful on its own. The combination of mass, temperature, and that level of isolation has not been reported in this form before, so the experimental milestone is real. The work is straightforward and quantitative where it counts. The soft spot is the step from observed ring-down to intrinsic low dissipation. The abstract notes the system is sensitive enough to pick up small external drags, but that does not automatically prove the baseline decay is free of residual gas, flux noise, trap vibrations, or readout back-action. Without explicit bounds from temperature sweeps, trap stiffness changes, or readout power variation, the mapping to material Q remains the least secure part of the claim. If the full text has those checks with data, it would close the gap; otherwise it needs them. This is for groups working on levitated systems, low-temperature precision sensing, or tests of quantum-classical boundaries. A reader who needs the actual numbers and the setup details will get value from it. It deserves a serious referee because the result is concrete and the platform is new, even if the isolation argument needs tightening before publication.

Referee Report

1 major / 2 minor

Summary. The paper reports construction of a milligram-mass superconducting levitating oscillator at millikelvin temperatures with extremely low dissipation, evidenced by a ring-down time exceeding 110 hours (corresponding to resonance linewidth <0.8 μHz). The device is tunable, compatible with adiabatic nuclear demagnetisation for further cooling, and demonstrates sensitivity to ³He impurity drag in superfluid ⁴He at the ~10^{-8} level (femtonewton forces).

Significance. If the isolation and intrinsic-dissipation attribution hold, this constitutes a notable experimental milestone toward closed macroscopic systems for quantum-classical interface tests. The combination of levitation, millikelvin operation, and femtonewton sensitivity is a strength; the tunability and future cooling path are also positive.

major comments (1)

[Abstract and ring-down results] The central claim equates the observed >110-hour ring-down directly to intrinsic low dissipation (yielding <0.8 μHz linewidth via the stated Δf = 1/(2π τ_energy) relation). This requires that external contributions (residual gas, trap vibrations, flux noise, readout back-action) are negligible at the claimed precision, yet the manuscript provides no quantitative upper bounds from controls such as temperature dependence, trap-stiffness variation, or readout-power sweeps to exclude them; the ³He-drag sensitivity demonstration shows detection capability but does not bound the baseline decay channels.

minor comments (2)

[Methods or results] Clarify the exact definition and measurement protocol for ring-down time (amplitude vs. energy) and any averaging or fitting procedures used to extract the >110-hour value.
[Abstract and main results] Include explicit error bars, calibration details, and exclusion criteria for the linewidth claim to support the stated precision.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their positive summary and for the constructive major comment. We address it in detail below and will make revisions to strengthen the manuscript.

read point-by-point responses

Referee: [Abstract and ring-down results] The central claim equates the observed >110-hour ring-down directly to intrinsic low dissipation (yielding <0.8 μHz linewidth via the stated Δf = 1/(2π τ_energy) relation). This requires that external contributions (residual gas, trap vibrations, flux noise, readout back-action) are negligible at the claimed precision, yet the manuscript provides no quantitative upper bounds from controls such as temperature dependence, trap-stiffness variation, or readout-power sweeps to exclude them; the ³He-drag sensitivity demonstration shows detection capability but does not bound the baseline decay channels.

Authors: We agree with the referee that the manuscript would be improved by providing more explicit quantitative upper bounds on external dissipation mechanisms to support the attribution of the long ring-down time to intrinsic losses. While the paper discusses the cryogenic environment and low temperatures making residual gas and other external effects unlikely, we did not include dedicated control measurements or bounds. In the revised manuscript, we will add a new section detailing a dissipation budget. This will include: estimates of residual gas damping based on the known vacuum level in the cryostat (which is below 10^{-10} mbar at mK, leading to damping rates orders of magnitude smaller than observed); bounds on trap vibrations from the measured acceleration noise spectrum and the levitation stiffness; upper limits on flux noise from the SQUID readout characteristics; and analysis of readout back-action from the measurement power used. Regarding the ³He-drag demonstration, it indeed calibrates the force sensitivity, but the baseline ring-down is performed in the absence of ³He, and we will clarify how this null result, combined with the sensitivity, bounds any undetected drag. We believe these additions will address the concern without requiring new experiments, though we note that full temperature and power dependence sweeps would be ideal but are not currently available in the dataset. revision: partial

Circularity Check

0 steps flagged

No circularity: direct experimental report with transparent conversion from measured ring-down time

full rationale

The paper presents an experimental result: measured amplitude ring-down time exceeding 110 hours for a levitated superconducting oscillator, converted to resonance linewidth <0.8 μHz via the standard relation Δf = 1/(2π τ_energy) with τ_energy = τ_amp/2. This is a definitional identity from linear damped-oscillator theory, not a fitted parameter renamed as prediction, not a self-citation load-bearing step, and not an ansatz smuggled in. No derivation chain exists that reduces the central claim to its own inputs by construction. The attribution of the observed decay to intrinsic dissipation is an interpretive assumption (addressed by the skeptic), but the paper does not claim to derive or prove that attribution via any internal equation or prior self-citation; it reports the measured quantity and notes compatibility with future lower temperatures. The device is shown to detect small external drags (~10^{-8} from ³He), but this does not create circularity in the linewidth calculation itself. The report is self-contained against external benchmarks of ring-down measurements.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

Based on the abstract alone, the work relies on established domain knowledge of superconductivity and cryogenics with no explicit free parameters, new entities, or ad-hoc axioms introduced.

axioms (2)

domain assumption Superconducting levitation can be maintained with low dissipation at millikelvin temperatures.
Implicitly required for the oscillator to operate as described.
domain assumption The system can be isolated sufficiently to achieve ring-down times of days.
Central to the low-dissipation claim.

pith-pipeline@v0.9.0 · 5563 in / 1252 out tokens · 35193 ms · 2026-05-12T04:01:57.080373+00:00 · methodology

discussion (0)

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

IndisputableMonolith/Cost/FunctionalEquation.lean washburn_uniqueness_aczel unclear

?

unclear
Relation between the paper passage and the cited Recognition theorem.

ring-down time exceeding 110 hours... resonance linewidth of less than 0.8 μHz... drag from ³He impurities... femtonewton range
IndisputableMonolith/Foundation/RealityFromDistinction.lean reality_from_one_distinction unclear

?

unclear
Relation between the paper passage and the cited Recognition theorem.

Experiments aimed at quantifying the interface between quantum and classical physics... closed system at extremely low temperatures

What do these tags mean?

matches: The paper's claim is directly supported by a theorem in the formal canon.
supports: The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends: The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses: The paper appears to rely on the theorem as machinery.
contradicts: The paper's claim conflicts with a theorem or certificate in the canon.
unclear: Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

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