Higher-order singularities in phase-tracked electromechanical oscillators

Abstract Singularities ubiquitously exist in different fields and play a pivotal role in probing the fundamental laws of physics and developing highly sensitive sensors. Nevertheless, achieving higher-order (≥3) singularities, which exhibit superior performance, typically necessitates meticulous tun...
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Autor*in:	Xin Zhou [verfasserIn] Xingjing Ren [verfasserIn] Dingbang Xiao [verfasserIn] Jianqi Zhang [verfasserIn] Ran Huang [verfasserIn] Zhipeng Li [verfasserIn] Xiaopeng Sun [verfasserIn] Xuezhong Wu [verfasserIn] Cheng-Wei Qiu [verfasserIn] Franco Nori [verfasserIn] Hui Jing [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Übergeordnetes Werk:	In: Nature Communications - Nature Portfolio, 2016, 14(2023), 1, Seite 9
Übergeordnetes Werk:	volume:14 ; year:2023 ; number:1 ; pages:9

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.1038/s41467-023-43708-y

Katalog-ID:	DOAJ100204481

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allfields	10.1038/s41467-023-43708-y doi (DE-627)DOAJ100204481 (DE-599)DOAJe4ca43c898e2406a95d9074ab9ab3088 DE-627 ger DE-627 rakwb eng Xin Zhou verfasserin aut Higher-order singularities in phase-tracked electromechanical oscillators 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Singularities ubiquitously exist in different fields and play a pivotal role in probing the fundamental laws of physics and developing highly sensitive sensors. Nevertheless, achieving higher-order (≥3) singularities, which exhibit superior performance, typically necessitates meticulous tuning of multiple (≥3) coupled degrees of freedom or additional introduction of nonlinear potential energies. Here we propose theoretically and confirm using mechanics experiments, the existence of an unexplored cusp singularity in the phase-tracked (PhT) steady states of a pair of coherently coupled mechanical modes without the need for multiple (≥3) coupled modes or nonlinear potential energies. By manipulating the PhT singularities in an electrostatically tunable micromechanical system, we demonstrate an enhanced cubic-root response to frequency perturbations. This study introduces a new phase-tracking method for studying interacting systems and sheds new light on building and engineering advanced singular devices with simple and well-controllable elements, with potential applications in precision metrology, portable nonreciprocal devices, and on-chip mechanical computing. Science Q Xingjing Ren verfasserin aut Dingbang Xiao verfasserin aut Jianqi Zhang verfasserin aut Ran Huang verfasserin aut Zhipeng Li verfasserin aut Xiaopeng Sun verfasserin aut Xuezhong Wu verfasserin aut Cheng-Wei Qiu verfasserin aut Franco Nori verfasserin aut Hui Jing verfasserin aut In Nature Communications Nature Portfolio, 2016 14(2023), 1, Seite 9 (DE-627)626457688 (DE-600)2553671-0 20411723 nnns volume:14 year:2023 number:1 pages:9 https://doi.org/10.1038/s41467-023-43708-y kostenfrei https://doaj.org/article/e4ca43c898e2406a95d9074ab9ab3088 kostenfrei https://doi.org/10.1038/s41467-023-43708-y kostenfrei https://doaj.org/toc/2041-1723 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_211 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2110 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 14 2023 1 9
spelling	10.1038/s41467-023-43708-y doi (DE-627)DOAJ100204481 (DE-599)DOAJe4ca43c898e2406a95d9074ab9ab3088 DE-627 ger DE-627 rakwb eng Xin Zhou verfasserin aut Higher-order singularities in phase-tracked electromechanical oscillators 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Singularities ubiquitously exist in different fields and play a pivotal role in probing the fundamental laws of physics and developing highly sensitive sensors. Nevertheless, achieving higher-order (≥3) singularities, which exhibit superior performance, typically necessitates meticulous tuning of multiple (≥3) coupled degrees of freedom or additional introduction of nonlinear potential energies. Here we propose theoretically and confirm using mechanics experiments, the existence of an unexplored cusp singularity in the phase-tracked (PhT) steady states of a pair of coherently coupled mechanical modes without the need for multiple (≥3) coupled modes or nonlinear potential energies. By manipulating the PhT singularities in an electrostatically tunable micromechanical system, we demonstrate an enhanced cubic-root response to frequency perturbations. This study introduces a new phase-tracking method for studying interacting systems and sheds new light on building and engineering advanced singular devices with simple and well-controllable elements, with potential applications in precision metrology, portable nonreciprocal devices, and on-chip mechanical computing. Science Q Xingjing Ren verfasserin aut Dingbang Xiao verfasserin aut Jianqi Zhang verfasserin aut Ran Huang verfasserin aut Zhipeng Li verfasserin aut Xiaopeng Sun verfasserin aut Xuezhong Wu verfasserin aut Cheng-Wei Qiu verfasserin aut Franco Nori verfasserin aut Hui Jing verfasserin aut In Nature Communications Nature Portfolio, 2016 14(2023), 1, Seite 9 (DE-627)626457688 (DE-600)2553671-0 20411723 nnns volume:14 year:2023 number:1 pages:9 https://doi.org/10.1038/s41467-023-43708-y kostenfrei https://doaj.org/article/e4ca43c898e2406a95d9074ab9ab3088 kostenfrei https://doi.org/10.1038/s41467-023-43708-y kostenfrei https://doaj.org/toc/2041-1723 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_211 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2110 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 14 2023 1 9
allfields_unstemmed	10.1038/s41467-023-43708-y doi (DE-627)DOAJ100204481 (DE-599)DOAJe4ca43c898e2406a95d9074ab9ab3088 DE-627 ger DE-627 rakwb eng Xin Zhou verfasserin aut Higher-order singularities in phase-tracked electromechanical oscillators 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Singularities ubiquitously exist in different fields and play a pivotal role in probing the fundamental laws of physics and developing highly sensitive sensors. Nevertheless, achieving higher-order (≥3) singularities, which exhibit superior performance, typically necessitates meticulous tuning of multiple (≥3) coupled degrees of freedom or additional introduction of nonlinear potential energies. Here we propose theoretically and confirm using mechanics experiments, the existence of an unexplored cusp singularity in the phase-tracked (PhT) steady states of a pair of coherently coupled mechanical modes without the need for multiple (≥3) coupled modes or nonlinear potential energies. By manipulating the PhT singularities in an electrostatically tunable micromechanical system, we demonstrate an enhanced cubic-root response to frequency perturbations. This study introduces a new phase-tracking method for studying interacting systems and sheds new light on building and engineering advanced singular devices with simple and well-controllable elements, with potential applications in precision metrology, portable nonreciprocal devices, and on-chip mechanical computing. Science Q Xingjing Ren verfasserin aut Dingbang Xiao verfasserin aut Jianqi Zhang verfasserin aut Ran Huang verfasserin aut Zhipeng Li verfasserin aut Xiaopeng Sun verfasserin aut Xuezhong Wu verfasserin aut Cheng-Wei Qiu verfasserin aut Franco Nori verfasserin aut Hui Jing verfasserin aut In Nature Communications Nature Portfolio, 2016 14(2023), 1, Seite 9 (DE-627)626457688 (DE-600)2553671-0 20411723 nnns volume:14 year:2023 number:1 pages:9 https://doi.org/10.1038/s41467-023-43708-y kostenfrei https://doaj.org/article/e4ca43c898e2406a95d9074ab9ab3088 kostenfrei https://doi.org/10.1038/s41467-023-43708-y kostenfrei https://doaj.org/toc/2041-1723 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_211 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2110 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 14 2023 1 9
allfieldsGer	10.1038/s41467-023-43708-y doi (DE-627)DOAJ100204481 (DE-599)DOAJe4ca43c898e2406a95d9074ab9ab3088 DE-627 ger DE-627 rakwb eng Xin Zhou verfasserin aut Higher-order singularities in phase-tracked electromechanical oscillators 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Singularities ubiquitously exist in different fields and play a pivotal role in probing the fundamental laws of physics and developing highly sensitive sensors. Nevertheless, achieving higher-order (≥3) singularities, which exhibit superior performance, typically necessitates meticulous tuning of multiple (≥3) coupled degrees of freedom or additional introduction of nonlinear potential energies. Here we propose theoretically and confirm using mechanics experiments, the existence of an unexplored cusp singularity in the phase-tracked (PhT) steady states of a pair of coherently coupled mechanical modes without the need for multiple (≥3) coupled modes or nonlinear potential energies. By manipulating the PhT singularities in an electrostatically tunable micromechanical system, we demonstrate an enhanced cubic-root response to frequency perturbations. This study introduces a new phase-tracking method for studying interacting systems and sheds new light on building and engineering advanced singular devices with simple and well-controllable elements, with potential applications in precision metrology, portable nonreciprocal devices, and on-chip mechanical computing. Science Q Xingjing Ren verfasserin aut Dingbang Xiao verfasserin aut Jianqi Zhang verfasserin aut Ran Huang verfasserin aut Zhipeng Li verfasserin aut Xiaopeng Sun verfasserin aut Xuezhong Wu verfasserin aut Cheng-Wei Qiu verfasserin aut Franco Nori verfasserin aut Hui Jing verfasserin aut In Nature Communications Nature Portfolio, 2016 14(2023), 1, Seite 9 (DE-627)626457688 (DE-600)2553671-0 20411723 nnns volume:14 year:2023 number:1 pages:9 https://doi.org/10.1038/s41467-023-43708-y kostenfrei https://doaj.org/article/e4ca43c898e2406a95d9074ab9ab3088 kostenfrei https://doi.org/10.1038/s41467-023-43708-y kostenfrei https://doaj.org/toc/2041-1723 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_211 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2110 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 14 2023 1 9
allfieldsSound	10.1038/s41467-023-43708-y doi (DE-627)DOAJ100204481 (DE-599)DOAJe4ca43c898e2406a95d9074ab9ab3088 DE-627 ger DE-627 rakwb eng Xin Zhou verfasserin aut Higher-order singularities in phase-tracked electromechanical oscillators 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Singularities ubiquitously exist in different fields and play a pivotal role in probing the fundamental laws of physics and developing highly sensitive sensors. Nevertheless, achieving higher-order (≥3) singularities, which exhibit superior performance, typically necessitates meticulous tuning of multiple (≥3) coupled degrees of freedom or additional introduction of nonlinear potential energies. Here we propose theoretically and confirm using mechanics experiments, the existence of an unexplored cusp singularity in the phase-tracked (PhT) steady states of a pair of coherently coupled mechanical modes without the need for multiple (≥3) coupled modes or nonlinear potential energies. By manipulating the PhT singularities in an electrostatically tunable micromechanical system, we demonstrate an enhanced cubic-root response to frequency perturbations. This study introduces a new phase-tracking method for studying interacting systems and sheds new light on building and engineering advanced singular devices with simple and well-controllable elements, with potential applications in precision metrology, portable nonreciprocal devices, and on-chip mechanical computing. Science Q Xingjing Ren verfasserin aut Dingbang Xiao verfasserin aut Jianqi Zhang verfasserin aut Ran Huang verfasserin aut Zhipeng Li verfasserin aut Xiaopeng Sun verfasserin aut Xuezhong Wu verfasserin aut Cheng-Wei Qiu verfasserin aut Franco Nori verfasserin aut Hui Jing verfasserin aut In Nature Communications Nature Portfolio, 2016 14(2023), 1, Seite 9 (DE-627)626457688 (DE-600)2553671-0 20411723 nnns volume:14 year:2023 number:1 pages:9 https://doi.org/10.1038/s41467-023-43708-y kostenfrei https://doaj.org/article/e4ca43c898e2406a95d9074ab9ab3088 kostenfrei https://doi.org/10.1038/s41467-023-43708-y kostenfrei https://doaj.org/toc/2041-1723 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_211 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2110 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 14 2023 1 9
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source	In Nature Communications 14(2023), 1, Seite 9 volume:14 year:2023 number:1 pages:9
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authorswithroles_txt_mv	Xin Zhou @@aut@@ Xingjing Ren @@aut@@ Dingbang Xiao @@aut@@ Jianqi Zhang @@aut@@ Ran Huang @@aut@@ Zhipeng Li @@aut@@ Xiaopeng Sun @@aut@@ Xuezhong Wu @@aut@@ Cheng-Wei Qiu @@aut@@ Franco Nori @@aut@@ Hui Jing @@aut@@
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title	Higher-order singularities in phase-tracked electromechanical oscillators
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title_sort	higher-order singularities in phase-tracked electromechanical oscillators
title_auth	Higher-order singularities in phase-tracked electromechanical oscillators
abstract	Abstract Singularities ubiquitously exist in different fields and play a pivotal role in probing the fundamental laws of physics and developing highly sensitive sensors. Nevertheless, achieving higher-order (≥3) singularities, which exhibit superior performance, typically necessitates meticulous tuning of multiple (≥3) coupled degrees of freedom or additional introduction of nonlinear potential energies. Here we propose theoretically and confirm using mechanics experiments, the existence of an unexplored cusp singularity in the phase-tracked (PhT) steady states of a pair of coherently coupled mechanical modes without the need for multiple (≥3) coupled modes or nonlinear potential energies. By manipulating the PhT singularities in an electrostatically tunable micromechanical system, we demonstrate an enhanced cubic-root response to frequency perturbations. This study introduces a new phase-tracking method for studying interacting systems and sheds new light on building and engineering advanced singular devices with simple and well-controllable elements, with potential applications in precision metrology, portable nonreciprocal devices, and on-chip mechanical computing.
abstractGer	Abstract Singularities ubiquitously exist in different fields and play a pivotal role in probing the fundamental laws of physics and developing highly sensitive sensors. Nevertheless, achieving higher-order (≥3) singularities, which exhibit superior performance, typically necessitates meticulous tuning of multiple (≥3) coupled degrees of freedom or additional introduction of nonlinear potential energies. Here we propose theoretically and confirm using mechanics experiments, the existence of an unexplored cusp singularity in the phase-tracked (PhT) steady states of a pair of coherently coupled mechanical modes without the need for multiple (≥3) coupled modes or nonlinear potential energies. By manipulating the PhT singularities in an electrostatically tunable micromechanical system, we demonstrate an enhanced cubic-root response to frequency perturbations. This study introduces a new phase-tracking method for studying interacting systems and sheds new light on building and engineering advanced singular devices with simple and well-controllable elements, with potential applications in precision metrology, portable nonreciprocal devices, and on-chip mechanical computing.
abstract_unstemmed	Abstract Singularities ubiquitously exist in different fields and play a pivotal role in probing the fundamental laws of physics and developing highly sensitive sensors. Nevertheless, achieving higher-order (≥3) singularities, which exhibit superior performance, typically necessitates meticulous tuning of multiple (≥3) coupled degrees of freedom or additional introduction of nonlinear potential energies. Here we propose theoretically and confirm using mechanics experiments, the existence of an unexplored cusp singularity in the phase-tracked (PhT) steady states of a pair of coherently coupled mechanical modes without the need for multiple (≥3) coupled modes or nonlinear potential energies. By manipulating the PhT singularities in an electrostatically tunable micromechanical system, we demonstrate an enhanced cubic-root response to frequency perturbations. This study introduces a new phase-tracking method for studying interacting systems and sheds new light on building and engineering advanced singular devices with simple and well-controllable elements, with potential applications in precision metrology, portable nonreciprocal devices, and on-chip mechanical computing.
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title_short	Higher-order singularities in phase-tracked electromechanical oscillators
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Higher-order singularities in phase-tracked electromechanical oscillators

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