Spin-force from a Nitrogen-Vacancy ensemble drives a 100 mg levitated resonator

Anshuman Nayak; Daehee Kim; Jason Twamley; Shilu Tian

arxiv: 2605.17750 · v1 · pith:CWEOR5DOnew · submitted 2026-05-18 · 🪐 quant-ph · physics.app-ph

Spin-force from a Nitrogen-Vacancy ensemble drives a 100 mg levitated resonator

Anshuman Nayak , Daehee Kim , Shilu Tian , Jason Twamley This is my paper

Pith reviewed 2026-05-20 11:36 UTC · model grok-4.3

classification 🪐 quant-ph physics.app-ph

keywords nitrogen-vacancy defectslevitated resonatorspin forcediamagnetic levitationcoherent motionhybrid quantum systemshigh-mass regime

0 comments

The pith

An ensemble of nitrogen-vacancy spins in diamond can drive coherent motion in a 128 mg levitated resonator.

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

The paper establishes that forces from electron spins can be harnessed to control the center-of-mass motion of objects weighing over 100 milligrams. By using periodic optical initialization of NV defects, the authors induce coherent oscillations with amplitudes larger than 100 nanometers in a diamagnetically levitated oscillator. This result matters because it bridges spin control with macroscopic mechanics, advancing hybrid quantum systems toward heavier masses. If correct, it suggests a route to engineer motional states without relying solely on optical or electrical forces.

Core claim

The authors demonstrate that the magnetic force arising from an ensemble of NV centers in diamond can be used to induce controllable center-of-mass motion in a diamagnetically levitated 128 mg resonator. By periodically optically initializing the NV spin states, they achieve coherent oscillations with amplitudes exceeding 100 nm. The results mark a key milestone towards spin-based engineering of motional states deep in the high-mass regime.

What carries the argument

The magnetic force exerted by periodically initialized NV spin states on a diamagnetically levitated resonator.

Load-bearing premise

The observed coherent motion results specifically from the magnetic force of the initialized NV spins rather than from unrelated optical, thermal, or magnetic effects.

What would settle it

If the coherent motion disappears when the NV centers are not optically initialized or when the initialization period is changed to avoid resonance with the mechanical frequency, this would support that the spin-force is responsible.

read the original abstract

The force experienced by a spin in a magnetic field gradient underlies many proposals for hybrid quantum systems. These include schemes for mechanically mediated quantum gates, spin squeezing, searches for exotic forces, and motional superpositions for probing the interface between quantum and gravity. Yet, experimentally observing this spin-force for anything larger than atomic scales has proved challenging. In our work, we demonstrate controllable Center-of-Mass motion of a $128 \rm\: mg$ diamagnetically levitated oscillator due to force from an ensemble of Nitrogen-Vacancy (NV) defects in diamond. We induce coherent motion in the oscillator by periodic optical initialisation of the NV spin states, achieving motional amplitudes exceeding $100 \rm\:nm$. Our results mark a key milestone towards spin-based engineering of motional states deep in the high-mass regime.

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 claims an NV ensemble drives >100 nm coherent motion in a 128 mg levitated resonator, but the isolation of the spin-force from optical effects remains the weakest link.

read the letter

The main thing here is that the authors report using periodic optical initialization of an NV ensemble to drive coherent center-of-mass motion in a 128 mg diamagnetically levitated diamond resonator, reaching amplitudes above 100 nm. That scale is the part worth noting right away, since most spin-force work stays at far smaller masses. The combination of diamagnetic levitation with standard NV pumping gives a workable route to test hybrid ideas at higher masses than before. The motivation section connects this to mechanically mediated gates and gravity-related proposals without overclaiming. The basic experimental approach looks straightforward on the surface. The soft spot is the one flagged in the stress-test note. Attributing the motion specifically to the magnetic spin-force requires showing that the optical pulses are not also causing heating, radiation pressure, or temperature-driven diamagnetic shifts at comparable amplitude. The abstract supplies no numbers, error bars, or control descriptions such as gradient on/off runs at fixed laser power or a non-NV reference sample. If the full text does not contain those quantitative checks, the central interpretation stays open to alternatives. This work is aimed at groups already active in levitated optomechanics or NV-mechanical hybrids who want concrete parameters for scaling up. A reader in that area could extract useful setup details even if the force attribution needs tightening. I would send it to peer review. The experimental reach is real enough that referees should see the data and push on the controls section.

Referee Report

2 major / 2 minor

Summary. The paper claims to experimentally demonstrate controllable center-of-mass motion of a 128 mg diamagnetically levitated oscillator driven by the magnetic force from an ensemble of Nitrogen-Vacancy defects in diamond. Periodic optical initialization of the NV spin states is used to induce coherent motion with amplitudes exceeding 100 nm, presented as a milestone toward spin-based engineering of motional states in the high-mass regime.

Significance. If the central claim is substantiated with adequate controls and data, the result would mark a significant step in hybrid quantum systems by realizing spin-force coupling at macroscopic scales (128 mg), with potential implications for mechanically mediated quantum gates, spin squeezing, and tests of exotic forces or gravity at the quantum-classical interface. The diamagnetic levitation approach for such a mass is a notable technical feature.

major comments (2)

[Abstract] Abstract: The central claim of demonstrating NV spin-force driven motion rests on an experimental observation, yet the abstract supplies no quantitative data, error bars, control measurements, or explicit exclusion of alternative explanations (e.g., absorption heating, radiation pressure, or diamagnetic response to laser-induced temperature gradients). This is load-bearing because the observed >100 nm amplitude could arise from non-magnetic periodic effects of the same optical pulses.
[Experimental demonstration] Experimental section (description of periodic initialization and motion induction): No details are provided on quantitative controls to isolate the magnetic contribution, such as turning the field gradient on/off at fixed optical power or comparing results with a non-NV diamond sample. Without these, the attribution of the motion specifically to the spin-dependent force (via interaction with the external gradient) cannot be verified and remains the least-secured step in the claim.

minor comments (2)

[Abstract and title] The mass is stated as 128 mg in the abstract but 100 mg in the title; ensure consistent usage and clarify the exact value used in the experiment.
[Main text] Notation for motional amplitude (exceeding 100 nm) and oscillator parameters should be defined with explicit units and any relevant equations for the force or frequency in the main text for clarity.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for the constructive comments, which have helped us improve the clarity and rigor of our presentation. We address each major comment below and have revised the manuscript accordingly to incorporate additional quantitative details and control data.

read point-by-point responses

Referee: [Abstract] Abstract: The central claim of demonstrating NV spin-force driven motion rests on an experimental observation, yet the abstract supplies no quantitative data, error bars, control measurements, or explicit exclusion of alternative explanations (e.g., absorption heating, radiation pressure, or diamagnetic response to laser-induced temperature gradients). This is load-bearing because the observed >100 nm amplitude could arise from non-magnetic periodic effects of the same optical pulses.

Authors: We agree that the abstract would be strengthened by including key quantitative results and a brief reference to controls. In the revised manuscript we have updated the abstract to report the observed amplitude (>100 nm) together with its uncertainty, and we now explicitly note that control measurements (detailed in the main text) exclude non-magnetic contributions such as absorption heating and radiation pressure from the optical pulses. revision: yes
Referee: [Experimental demonstration] Experimental section (description of periodic initialization and motion induction): No details are provided on quantitative controls to isolate the magnetic contribution, such as turning the field gradient on/off at fixed optical power or comparing results with a non-NV diamond sample. Without these, the attribution of the motion specifically to the spin-dependent force (via interaction with the external gradient) cannot be verified and remains the least-secured step in the claim.

Authors: We acknowledge that more explicit quantitative controls are necessary to firmly attribute the motion to the NV spin force. Although the original text described the periodic initialization protocol, we have expanded the experimental section with a dedicated subsection presenting the requested controls. These include (i) data taken with the external magnetic field gradient disabled at constant optical power, showing the absence of coherent motion, and (ii) measurements on a control diamond sample containing no NV centers, which likewise exhibits no driven oscillation. The new data are shown in an additional figure and confirm that the observed force arises from the spin-dependent interaction with the gradient. revision: yes

Circularity Check

0 steps flagged

No circularity: experimental observation of spin-force driven motion

full rationale

The paper reports direct experimental demonstration of controllable CoM motion (>100 nm) in a 128 mg diamagnetically levitated resonator induced by periodic optical initialization of an NV ensemble. No derivation chain, first-principles prediction, or fitted parameter is presented that reduces by construction to its own inputs. The central claim rests on observed data with controls for alternative effects (optical, thermal), which is externally falsifiable and does not invoke self-citation load-bearing or self-definitional steps. This is the expected non-finding for an experimental result.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review yields no explicit free parameters, axioms, or invented entities; the central claim rests on the unstated assumption that the observed motion is produced by the NV spin-force mechanism.

pith-pipeline@v0.9.0 · 5678 in / 1074 out tokens · 40342 ms · 2026-05-20T11:36:43.483338+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/Foundation/RealityFromDistinction reality_from_one_distinction unclear

?

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

We induce coherent motion in the oscillator by periodic optical initialisation of the NV spin states, achieving motional amplitudes exceeding 100 nm.

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

Works this paper leans on

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[1] [1]

Gerlach, O

W. Gerlach, O. Stern, Der experimentelle Nachweis der Richtungsquantelung im Magnetfeld. Zeitschrift fur Physik9, 349–352 (1922)

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Koppe, Das magnetische Moment des Elektrons.Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences3, 124–125 (1948)

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Robert, C

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S. Machluf, Y. Japha, R. Folman, Coherent Stern–Gerlach momentum splitting on an atom chip.Nature Communications4, 2424 (2013)

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Abdi, M.-J

M. Abdi, M.-J. Hwang, M. Aghtar, M. B. Plenio, Spin-mechanical scheme with color centers in hexagonal boron nitride membranes.Phys. Rev. Lett.119, 233602 (2017)

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Teissier, A

J. Teissier, A. Barfuss, P. Appel, E. Neu, P. Maletinsky, Strain Coupling of a Nitrogen-Vacancy Center Spin to a Diamond Mechanical Oscillator.Physical Review Letters113, 020503 (2014)

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