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PreprintCC BY 4.0arXiv

Negative non-linear differential dissipation in mechanical quartz resonators

Abstract

We observe negative non-linear differential dissipation in a low-frequency (32.7 kHz) miniature quartz tuning fork, representing a high-Q piezoelectric resonator, at temperatures below 0.3 K. Similar drive-induced dissipation suppression has previously been reported in superconducting microwave resonators, and high-frequency MEMS devices, associated to coupling with tunneling two-level systems (TTLSs). In the case of low-frequency resonators, the equivalent temperature of the mechanical mode is orders of magnitude lower than the thermodynamic temperature of the device, implying that accessible TTLS states are largely saturated. We demonstrate that the observed temperature and drive dependence of the losses fit well within the framework of an interacting TTLS bath, indicating the presence of a channel for energy transfer between the mechanical mode and thermally activated TTLSs. As a possible coupling mechanism, we suggest microwave phonon modes in the metallic electrodes of the tuning fork.

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BibTeX
@misc{sergeicheva2026negative,
  title = {{Negative non-linear differential dissipation in mechanical quartz resonators}},
  author = {Elena Sergeicheva and Juuso Manninen and Juha Tuoriniemi and Weijun Zeng and Francesco Massel and Pertti Hakonen},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.07895},
  eprint = {2611.07895},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.07895},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Negative non-linear differential dissipation in mechanical quartz resonators
AU  - Elena Sergeicheva
AU  - Juuso Manninen
AU  - Juha Tuoriniemi
AU  - Weijun Zeng
AU  - Francesco Massel
AU  - Pertti Hakonen
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.07895
UR  - https://arxiv.org/abs/2611.07895
AB  - We observe negative non-linear differential dissipation in a low-frequency (32.7 kHz) miniature quartz tuning fork, representing a high-Q piezoelectric resonator, at temperatures below 0.3 K. Similar drive-induced dissipation suppression has previously been reported in superconducting microwave resonators, and high-frequency MEMS devices, associated to coupling with tunneling two-level systems (TTLSs). In the case of low-frequency resonators, the equivalent temperature of the mechanical mode is orders of magnitude lower than the thermodynamic temperature of the device, implying that accessible TTLS states are largely saturated. We demonstrate that the observed temperature and drive dependence of the losses fit well within the framework of an interacting TTLS bath, indicating the presence of a channel for energy transfer between the mechanical mode and thermally activated TTLSs. As a possible coupling mechanism, we suggest microwave phonon modes in the metallic electrodes of the tuning fork.
ER  -