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Using the transient trajectories of an optically levitated nanoparticle to characterize a stochastic Duffing oscillator

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    SYSNO ASEP0535312
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleUsing 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, ORCID
    Number of authors7
    Article number14436
    Source TitleScientific Reports. - : Nature Publishing Group - ISSN 2045-2322
    Roč. 10, č. 1 (2020)
    Number of pages14 s.
    Publication formPrint - P
    Languageeng - English
    CountryGB - United Kingdom
    Keywordsoptically levitating nanoparticles ; transient trajectories ; Duffing oscillator
    Subject RIVBH - Optics, Masers, Lasers
    OECD categoryOptics (including laser optics and quantum optics)
    R&D ProjectsGA19-17765S GA ČR - Czech Science Foundation (CSF)
    Method of publishingOpen access
    Institutional supportUPT-D - RVO:68081731
    UT WOS000608581100021
    EID SCOPUS85090091694
    DOI10.1038/s41598-020-70908-z
    AnnotationWe 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.
    WorkplaceInstitute of Scientific Instruments
    ContactMartina Šillerová, sillerova@ISIBrno.Cz, Tel.: 541 514 178
    Year of Publishing2021
    Electronic addresshttps://www.nature.com/articles/s41598-020-70908-z
Number of the records: 1  

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