Resolving Abrikosov vortex entry in superconducting nanostring resonators via displacement-noise spectroscopy in cavity optomechanics

Abrikosov vortices in type-II superconductors influence current flow, dissipation and coherence, thereby limiting superconducting quantum technologies. In mesoscopic circuit elements, the entry and pinning of a single vortex can shift resonant frequencies, redistribute flux and degrade device performance. Here, we use a flux-mediated cavity-optomechanical platform, in which a suspended superconducting aluminum nanostring forms one arm of a SQUID terminating a microwave resonator, to investigate vortex-entry processes through nanomechanical elastic signatures. Operating at T ≈ 85 mK with 0.25 mT in-plane-field resolution, we resolve discrete jumps of the mechanical resonance frequency consistent with the stochastic entry of one or a few singly quantized Abrikosov vortices. Their field positions vary between thermal cycles, indicating disorder-mediated nucleation through a quenched pinning landscape. These events are superimposed on a smooth power-law stiffening background identified with the collective Campbell–Labusch elastic response. Recasting the jumps as equivalent force signatures yields attonewton-scale forces and, within a single-event pinning model, characteristic vortex-pinning energies of 0.09 − 0.44 eV. The smooth background gives a collective Labusch parameter of order 1014 N m−4. Our results establish cavity-optomechanical sensing as an in situ probe of vortex matter and identify vortex entry as a quantitative design constraint for flux-mediated superconducting quantum circuits. Abrikosov vortices can disrupt superconducting circuits, yet their entry into mesoscopic elements is hard to detect in situ. Here, the authors use a cavity-optomechanical SQUID nanostring to resolve stochastic vortex-entry events and quantify single-vortex pinning and collective vortex elasticity.

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Journal
Nature Communications
Published
2026-07-18
DOI
https://doi.org/10.1038/s41467-026-75676-4
Primary Topic
Mechanical and Optical Resonators
Type
article
Field-Weighted Citation Impact
0.00

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article

Resolving Abrikosov vortex entry in superconducting nanostring resonators via displacement-noise spectroscopy in cavity optomechanics

Hans Huebl, Rudolf Groß, Tahereh Sadat Parvini, Achim Marx et al.
Nature Communications
Mechanical and Optical Resonators
article

Resolving Abrikosov vortex entry in superconducting nanostring resonators via displacement-noise spectroscopy in cavity optomechanics

Hans Huebl, Rudolf Groß, Tahereh Sadat Parvini, Achim Marx, Thomas Luschmann, Lukas L. Niekamp
article en

Abstract

Abrikosov vortices in type-II superconductors influence current flow, dissipation and coherence, thereby limiting superconducting quantum technologies. In mesoscopic circuit elements, the entry and pinning of a single vortex can shift resonant frequencies, redistribute flux and degrade device performance. Here, we use a flux-mediated cavity-optomechanical platform, in which a suspended superconducting aluminum nanostring forms one arm of a SQUID terminating a microwave resonator, to investigate vortex-entry processes through nanomechanical elastic signatures. Operating at T ≈ 85 mK with 0.25 mT in-plane-field resolution, we resolve discrete jumps of the mechanical resonance frequency consistent with the stochastic entry of one or a few singly quantized Abrikosov vortices. Their field positions vary between thermal cycles, indicating disorder-mediated nucleation through a quenched pinning landscape. These events are superimposed on a smooth power-law stiffening background identified with the collective Campbell–Labusch elastic response. Recasting the jumps as equivalent force signatures yields attonewton-scale forces and, within a single-event pinning model, characteristic vortex-pinning energies of 0.09 − 0.44 eV. The smooth background gives a collective Labusch parameter of order 1014 N m−4. Our results establish cavity-optomechanical sensing as an in situ probe of vortex matter and identify vortex entry as a quantitative design constraint for flux-mediated superconducting quantum circuits. Abrikosov vortices can disrupt superconducting circuits, yet their entry into mesoscopic elements is hard to detect in situ. Here, the authors use a cavity-optomechanical SQUID nanostring to resolve stochastic vortex-entry events and quantify single-vortex pinning and collective vortex elasticity.

Nature CommunicationsVol. 17(1)
Bavarian Academy of Sciences and Humanities (DE), Munich Center for Quantum Science and Technology (DE), Walther Meissner Institute (DE), Technical University of Munich (DE)
European Commission, Deutsche Forschungsgemeinschaft, Horizon 2020 Framework Programme
Openalex Percentile: Top 96%
Mechanical and Optical Resonators
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