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Hauptverfasser: Zhou, Xin, Jing, Hui, Ren, Xingjing, Zhang, Jianqi, Huang, Ran, Li, Zhipeng, Sun, Xiaopeng, Wu, Xuezhong, Qiu, Cheng-Wei, Nori, Franco, Xiao, Dingbang
Format: Preprint
Veröffentlicht: 2023
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Online-Zugang:https://arxiv.org/abs/2302.12471
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author Zhou, Xin
Jing, Hui
Ren, Xingjing
Zhang, Jianqi
Huang, Ran
Li, Zhipeng
Sun, Xiaopeng
Wu, Xuezhong
Qiu, Cheng-Wei
Nori, Franco
Xiao, Dingbang
author_facet Zhou, Xin
Jing, Hui
Ren, Xingjing
Zhang, Jianqi
Huang, Ran
Li, Zhipeng
Sun, Xiaopeng
Wu, Xuezhong
Qiu, Cheng-Wei
Nori, Franco
Xiao, Dingbang
contents Singularities arise in diverse disciplines and play a key role in both exploring fundamental laws of physics and making highly-sensitive sensors. Higher-order (>3) singularities, with further improved performance, however, usually require exquisite tuning of multiple (>3) coupled degrees of freedom or nonlinear control, thus severely limiting their applications in practice. Here we propose theoretically and confirm using mechanics experiments that, cubic singularities can be realized in a coupled binary system without any nonlinearity, only by observing the phase tomography of the driven response. By steering the cubic phase-tomographic singularities in an electrostatically-tunable micromechanical system, enhanced cubic-root response to frequency perturbation and voltage-controlled nonreciprocity are demonstrated. Our work opens up a new phase-tomographic method for interacted-system research and sheds new light on building and engineering advanced singular devices with simple and well-controllable elements, with a wide range of applications including precision metrology, portable nonreciprocal devices, and on-chip mechanical computing.
format Preprint
id arxiv_https___arxiv_org_abs_2302_12471
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Cubic singularities in binary linear electromechanical oscillators
Zhou, Xin
Jing, Hui
Ren, Xingjing
Zhang, Jianqi
Huang, Ran
Li, Zhipeng
Sun, Xiaopeng
Wu, Xuezhong
Qiu, Cheng-Wei
Nori, Franco
Xiao, Dingbang
Applied Physics
Mesoscale and Nanoscale Physics
Singularities arise in diverse disciplines and play a key role in both exploring fundamental laws of physics and making highly-sensitive sensors. Higher-order (>3) singularities, with further improved performance, however, usually require exquisite tuning of multiple (>3) coupled degrees of freedom or nonlinear control, thus severely limiting their applications in practice. Here we propose theoretically and confirm using mechanics experiments that, cubic singularities can be realized in a coupled binary system without any nonlinearity, only by observing the phase tomography of the driven response. By steering the cubic phase-tomographic singularities in an electrostatically-tunable micromechanical system, enhanced cubic-root response to frequency perturbation and voltage-controlled nonreciprocity are demonstrated. Our work opens up a new phase-tomographic method for interacted-system research and sheds new light on building and engineering advanced singular devices with simple and well-controllable elements, with a wide range of applications including precision metrology, portable nonreciprocal devices, and on-chip mechanical computing.
title Cubic singularities in binary linear electromechanical oscillators
topic Applied Physics
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2302.12471