Anomalous shift of the most probable position of a particle in an unstable optically created potential

0498734 - ÚPT 2019 RIV US eng C - Conference Paper (international conference)
Šiler, Martin - Ornigotti, L. - Brzobohatý, Oto - Jákl, Petr - Ryabov, A. - Holubec, V. - Zemánek, Pavel - Filip, R.
Anomalous shift of the most probable position of a particle in an unstable optically created potential.
21st Czech-Polish-Slovak Optical Conference on Wave and Quantum Aspects of Contemporary Optics. (Proceedings of SPIE 10976). Bellingham: SPIE, 2018 - (Zemánek, P.), č. článku 109760E. ISBN 9781510626072. ISSN 0277-786X.
[Czech-Polish-Slovak Optical Conference on Wave and Quantum Aspects of Contemporary Optics /21./. Lednice (CZ), 03.09.2018-07.09.2018]
R&D Projects: GA ČR GB14-36681G; GA MŠMT(CZ) LO1212; GA MŠMT ED0017/01/01; GA MŠMT EF15_003/0000476
Institutional support: RVO:68081731
Keywords : optical tweezers * cubic potential * optical forces * stochastic motion * probability density function
OECD category: Optics (including laser optics and quantum optics)

Description of stochastic motion of a particle in an unstable potential is a challenging topic since even small
number of diverging trajectories leads to unde_ned statistic moments of particle position. This breaks down the standard statistical analysis of unstable mechanical processes and their applications. Therefore, we employ a di_erent approach taking advantage of the local characteristics of the most-likely particle motion instead of the average motion. We experimentally verify theoretical predictions for a Brownian particle moving near an inection in a cubic optical potential. Notably, the most-likely position of the particle atypically shifts against the force despite the trajectories diverge in opposite direction. In this work we study the inuence of the analytical
formula used for quanti_cation of the most likely particle position parameters in the case where only limited number of trajectories is available.

Permanent Link: http://hdl.handle.net/11104/0291092