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Proceedings Paper

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

Paper Details

Date Published: 18 December 2018
PDF: 6 pages
Proc. SPIE 10976, 21st Czech-Polish-Slovak Optical Conference on Wave and Quantum Aspects of Contemporary Optics, 109760E (18 December 2018); doi: 10.1117/12.2518123
Show Author Affiliations
Martin Šiler, Institute of Scientific Instruments of the CAS, v.v.i. (Czech Republic)
Luca Ornigotti, Palacký Univ. Olomouc (Czech Republic)
Oto Brzobohatý, Institute of Scientific Instruments of the CAS, v.v.i. (Czech Republic)
Petr Jákl, Institute of Scientific Instruments of the CAS, v.v.i. (Czech Republic)
Artem Ryabov, Charles Univ. (Czech Republic)
Viktor Holubec, Charles Univ. (Czech Republic)
Univ. Leipzig (Germany)
Pavel Zemánek, Institute of Scientific Instruments of the CAS, v.v.i. (Czech Republic)
Radim Filip, Palacký Univ. Olomouc (Czech Republic)


Published in SPIE Proceedings Vol. 10976:
21st Czech-Polish-Slovak Optical Conference on Wave and Quantum Aspects of Contemporary Optics
Pavel Zemánek, Editor(s)

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