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

Martin Šiler; Luca Ornigotti; Oto Brzobohatý; Petr Jákl; Artem Ryabov; Viktor Holubec; Pavel Zemánek; Radim Filip

doi:10.1117/12.2518123

18 December 2018 Anomalous shift of the most probable position of a particle in an unstable optically created potential

Martin Šiler, Luca Ornigotti, Oto Brzobohatý, Petr Jákl, Artem Ryabov, Viktor Holubec, Pavel Zemánek, Radim Filip

Proceedings Volume 10976, 21st Czech-Polish-Slovak Optical Conference on Wave and Quantum Aspects of Contemporary Optics; 109760E (2018) https://doi.org/10.1117/12.2518123
Event: 21st Czech-Polish-Slovak Optical Conference on Wave and Quantum Aspects of Contemporary Optics, 2018, Lednice, Czech Republic

Abstract

Description of stochastic motion of a particle in an unstable potential is a challenging topic since even small number of diverging trajectories leads to undefined statistic moments of particle position. This breaks down the standard statistical analysis of unstable mechanical processes and their applications. Therefore, we employ a different 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 inflection 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 influence of the analytical formula used for quantification of the most likely particle position parameters in the case where only limited number of trajectories is available.

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Martin Šiler, Luca Ornigotti, Oto Brzobohatý, Petr Jákl, Artem Ryabov, Viktor Holubec, Pavel Zemánek, and Radim Filip "Anomalous shift of the most probable position of a particle in an unstable optically created potential", Proc. SPIE 10976, 21st Czech-Polish-Slovak Optical Conference on Wave and Quantum Aspects of Contemporary Optics, 109760E (18 December 2018); https://doi.org/10.1117/12.2518123

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