6–10 Jul 2026
University of the Western Cape
Africa/Johannesburg timezone
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Derivation of moments and cumulants for Open Quantum Brownian Motion

8 Jul 2026, 14:50
20m
Lecture Hall DL2 (University of the Western Cape)

Lecture Hall DL2

University of the Western Cape

Oral Presentation Track G - Theoretical and Computational Physics Theoretical and Computational Physics

Speaker

Ayanda Zungu

Description

Open Quantum Brownian Motion (OQBM) describes the dynamics of a quantum Brownian particle with an additional internal degree of freedom. Building on the microscopic derivation of OQBM with a two-level internal degree of freedom presented by Sinayskiy and Petruccione (2015 Phys. Scr. T165, 014017), we revisit the associated OQBM master equation and derive the equations for the $n$-th moments and cumulants of the position distribution of the OQBM walker. These equations are solved numerically for Gaussian initial distributions. Our numerical analysis shows a nonzero third-order cumulant, indicating that the intrinsic generator of OQBM dynamics is non-Gaussian.

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Author

Co-author

Prof. Ilya Sinayskiy (Discipline of Physics, School of Agriculture and Science UKZN, (WST))

Presentation materials

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