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Stochastic Hopf bifurcations in vacuum optical tweezers
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SYSNO ASEP 0547258 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Stochastic Hopf bifurcations in vacuum optical tweezers Author(s) Simpson, Stephen Hugh (UPT-D) RID, SAI
Arita, Y. (GB)
Dholakia, K. (GB)
Zemánek, Pavel (UPT-D) RID, SAI, ORCIDNumber of authors 4 Article number 043518 Source Title Physical Review A. - : American Physical Society - ISSN 2469-9926
Roč. 104, č. 4 (2021)Number of pages 13 s. Publication form Print - P Language eng - English Country US - United States Keywords optical trap ; vacuum ; bifurcations ; limit cycles 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) EF15_003/0000476 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Method of publishing Limited access Institutional support UPT-D - RVO:68081731 UT WOS 000707419400004 EID SCOPUS 85117931313 DOI 10.1103/PhysRevA.104.043518 Annotation The forces acting on an isotropic microsphere in optical tweezers are effectively conservative. However, reductions in the symmetry of the particle or trapping field can break this condition. Here we theoretically analyze the motion of a particle in a linearly nonconservative optical vacuum trap, concentrating on the case where symmetry is broken by optical birefringence, causing nonconservative coupling between rotational and translational degrees of freedom. Neglecting thermal fluctuations, we first show that the underlying deterministic motion can exhibit a Hopf bifurcation in which the trapping point destabilizes and limit cycles emerge whose amplitude grows with decreasing viscosity. When fluctuations are included, the bifurcation of the underlying deterministic system is expressed as a transition in the statistical description of the motion. For high viscosities, the probability distribution is normal, with a kurtosis of three, and persistent probability currents swirl around the stable trapping point. As the bifurcation is approached, the distribution and currents spread out in phase space. Following the bifurcation, the probability distribution function hollows out, reflecting the underlying limit cycle, and the kurtosis halves abruptly. The system is seen to be a noisy self-sustained oscillator featuring a highly uneven limit cycle. A variety of applications, from autonomous stochastic resonance to synchronization, is discussed. Workplace Institute of Scientific Instruments Contact Martina Šillerová, sillerova@ISIBrno.Cz, Tel.: 541 514 178 Year of Publishing 2022 Electronic address https://journals.aps.org/pra/abstract/10.1103/PhysRevA.104.043518
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