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Bayesian Estimation of Experimental Parameters in Stochastic Inertial Systems: Theory, Simulations, and Experiments with Objects Levitated in Vacuum
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SYSNO ASEP 0574797 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Bayesian Estimation of Experimental Parameters in Stochastic Inertial Systems: Theory, Simulations, and Experiments with Objects Levitated in Vacuum Author(s) Šiler, Martin (UPT-D) RID, ORCID, SAI
Svak, Vojtěch (UPT-D) RID, SAI
Jonáš, Alexandr (UPT-D) RID, SAI, ORCID
Simpson, Stephen Hugh (UPT-D) RID, SAI
Brzobohatý, Oto (UPT-D) RID, ORCID, SAI
Zemánek, Pavel (UPT-D) RID, SAI, ORCIDNumber of authors 6 Article number 064059 Source Title Physical Review Applied. - : American Physical Society - ISSN 2331-7019
Roč. 19, č. 6 (2023)Number of pages 26 s. Publication form Online - E Language eng - English Country US - United States Keywords optical levitation ; force estimation ; stochastic processes Subject RIV BH - Optics, Masers, Lasers OECD category Optics (including laser optics and quantum optics) R&D Projects GF21-19245K GA ČR - Czech Science Foundation (CSF) EF16_026/0008460 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Method of publishing Open access Institutional support UPT-D - RVO:68081731 UT WOS 001019590200004 EID SCOPUS 85164196465 DOI 10.1103/PhysRevApplied.19.064059 Annotation High-quality nanomechanical oscillators can sensitively probe force, mass, or displacement in experi-ments bridging the gap between the classical and quantum domain. Dynamics of these stochastic systems is inherently determined by the interplay between acting external forces, viscous dissipation, and random driving by the thermal environment. The relevance of inertia then dictates that both position and momentum must, in principle, be known to fully describe the system, which makes its quantitative exper-imental characterization rather challenging. We introduce a general method of Bayesian inference of the force field and environmental parameters in stochastic inertial systems that operates solely on the time series of recorded noisy positions of the system. The method is first validated on simulated trajectories of model stochastic harmonic and anharmonic oscillators with damping. Subsequently, the method is applied to experimental trajectories of particles levitating in tailored optical fields and used to characterize the dynamics of particle motion in a nonlinear Duffing potential, a static or time-dependent double-well poten-tial, and a nonconservative force field. The presented inference procedure does not make any simplifying assumptions about the nature or symmetry of the acting force field and provides robust results with tra-jectories 2 orders of magnitude shorter than those typically required by alternative inference schemes. In addition to being a powerful tool for quantitative data analysis, it can also guide experimentalists in choosing appropriate sampling frequency (at least 20 measured points per single characteristic period) and length of the measured trajectories (at least 10 periods) to estimate the force field and environmental characteristics with a desired accuracy and precision. Workplace Institute of Scientific Instruments Contact Martina Šillerová, sillerova@ISIBrno.Cz, Tel.: 541 514 178 Year of Publishing 2024 Electronic address https://journals.aps.org/prapplied/abstract/10.1103/PhysRevApplied.19.064059
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