Published October 22, 2025 | Version Published
Journal Article Open

Spectral diffusion of nanomechanical resonators due to single quantum defects

Abstract

Nanomechanical resonators promise diverse applications from mass spectrometry to quantum information processing, requiring long phonon lifetimes and frequency stability. Although two-level-system (TLS) defects govern dissipation at millikelvin temperatures, the nature of frequency fluctuations remains poorly understood. In nanoscale devices, where acoustic fields are confined to subwavelength volumes, strong coupling to individual TLSs should dominate over defect ensemble effects. In this work, we monitor fast spectral diffusion of phononic crystal nanomechanical resonators while varying the temperature (10 mK–1 K), drive power (10²–10 phonons), and phononic band structure. We consistently observe random telegraph signals (RTSs), which we attribute to state transitions of individual TLSs. The spectral diffusion is well explained by mechanical coupling to individual far-off-resonant TLSs, which are either thermally excited or strongly coupled to thermal fluctuators. Understanding this fundamental decoherence process, particularly its RTS structure, opens a clear path toward noise suppression for quantum and sensing applications.

Copyright and License

© 2025 American Physical Society.

Acknowledgement

The authors would like to acknowledge numerous valuable discussions with Professor M.I. Dykman, K.K.S. Multani, A.Y. Cleland, T. Makihara, Y. Guo, and R.G. Gruenke for useful discussions and assistance during fabrication. Part of this work was performed at the Stanford Nano Shared Facilities (SNSF) and at the Stanford Nanofabrication Facility (SNF), supported by the National Science Foundation under Award No. ECCS-2026822. Work was performed in part in the nano@stanford labs, which are supported by the National Science Foundation as part of the National Nanotechnology Coordinated Infrastructure initiative under Award No. ECCS-1542152. We gratefully acknowledge support from multiple sources that made this work possible. This material is based upon work supported by the Air Force Office of Scientific Research and the Office of Naval Research under Award No. FA9550-23-1-0338 (A.H.S.-N.). Additional funding was provided by Amazon Web Services, Inc. (A.H.S.-N.). We thank the Gordon and Betty Moore Foundation for support through Grant No. (M.L.R. and A.H.S.-N), a Moore Inventor Fellowship (A.H.S.-N.) and via the Wellcome Leap—Delta Tissue Program (M.L.R.), Award No. 2016555 (M.L.R.). This research was also supported by the National Science Foundation CAREER Award No. ECCS-1941826 (A.H.S.-N.). Some of this work was funded by the US Department of Energy through Grant No. DE-AC02-76SF00515 and via the Q-NEXT Center. M.P.M. gratefully acknowledges support from a Natural Sciences and Engineering Research Council of Canada (NSERC) fellowship.

Data Availability

The data that support the findings of this article are openly available [60]; embargo periods may apply.

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Additional details

Related works

Is supplemented by
Dataset: 10.5281/zenodo.17095335 (DOI)

Funding

National Science Foundation
ECCS-2026822
National Science Foundation
ECCS-1542152
United States Air Force Office of Scientific Research
Office of Naval Research
FA9550-23-1-0338
Amazon (United States)
Gordon and Betty Moore Foundation
Moore Inventor Fellowship
Wellcome Leap—Delta Tissue Program
National Science Foundation
ECCS-1941826
United States Department of Energy
DE-AC02-76SF00515
Natural Sciences and Engineering Research Council

Dates

Accepted
2025-09-16