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Using the transient trajectories of an optically levitated nanoparticle to characterize a stochastic Duffing oscillator
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SYSNO ASEP 0535312 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Using the transient trajectories of an optically levitated nanoparticle to characterize a stochastic Duffing oscillator Author(s) Flajšmanová, Jana (UPT-D)
Šiler, Martin (UPT-D) RID, ORCID, SAI
Jedlička, Petr (UPT-D) RID, SAI
Hrubý, František (UPT-D)
Brzobohatý, Oto (UPT-D) RID, ORCID, SAI
Filip, R. (CZ)
Zemánek, Pavel (UPT-D) RID, SAI, ORCIDNumber of authors 7 Article number 14436 Source Title Scientific Reports. - : Nature Publishing Group - ISSN 2045-2322
Roč. 10, č. 1 (2020)Number of pages 14 s. Publication form Print - P Language eng - English Country GB - United Kingdom Keywords optically levitating nanoparticles ; transient trajectories ; Duffing oscillator Subject RIV BH - Optics, Masers, Lasers OECD category Optics (including laser optics and quantum optics) R&D Projects GA19-17765S GA ČR - Czech Science Foundation (CSF) Method of publishing Open access Institutional support UPT-D - RVO:68081731 UT WOS 000608581100021 EID SCOPUS 85090091694 DOI 10.1038/s41598-020-70908-z Annotation We propose a novel methodology to estimate parameters characterizing a weakly nonlinear Duffing oscillator represented by an optically levitating nanoparticle. The method is based on averaging recorded trajectories with defined initial positions in the phase space of nanoparticle position and momentum and allows us to study the transient dynamics of the nonlinear system. This technique provides us with the parameters of a levitated nanoparticle such as eigenfrequency, damping, coefficient of nonlinearity and effective temperature directly from the recorded transient particle motion without any need for external driving or modification of an experimental system. Comparison of this innovative approach with a commonly used method based on fitting the power spectrum density profile shows that the proposed complementary method is applicable even at lower pressures where the nonlinearity starts to play a significant role and thus the power spectrum density method predicts steady state parameters. The technique is applicable also at low temperatures and extendable to recent quantum experiments. The proposed method is applied on experimental data and its validity for one-dimensional and three-dimensional motion of a levitated nanoparticle is verified by extensive numerical simulations. Workplace Institute of Scientific Instruments Contact Martina Šillerová, sillerova@ISIBrno.Cz, Tel.: 541 514 178 Year of Publishing 2021 Electronic address https://www.nature.com/articles/s41598-020-70908-z
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