SAIP2026

Microscopic derivation of Open Quantum Brownian Motion for a particle in a potential with external periodic driving

8 Jul 2026, 16:20

1h 20m

Great Hall ( University of the Western Cape)

Poster Presentation Track G - Theoretical and Computational Physics Poster Session 2

Speaker

Sindiswa Nhlapo

Description

Open quantum Brownian motion (OQBM) was introduced by Bauer et al. [1,2] as a special scaling limit of discrete-time open quantum walks (OQWs) [3,4], establishing a new mathematical framework for quantum Brownian motion. In this setting, the dynamics of the Brownian particle depend not only on dissipative interactions with a thermal bath but also on the state of the internal quantum degree of freedom. Subsequently, a microscopic derivation of the OQBM for a free Brownian particle interacting with a thermal bath was proposed [5,6]. Recently, Zungu et al. [7,8] proposed a microscopic derivation of the OQBM in a generic dissipative case for a Brownian particle confined to a harmonic potential, using the adiabatic elimination of fast variables method. In this work, we extend these results by presenting a microscopic derivation of the OQBM for a Brownian particle in a potential and external periodic driving.

[1] M. Bauer, D. Bernard, and A. Tilloy, 2013 Phys. Rev. A 88, 062340.
[2] M. Bauer, D. Bernard, and A. Tilloy, 2014 J. Stat. Mech. P09001.
[3] S. Attal, F. Petruccione, C. Sabot, and I. Sinayskiy, 2012 J. Stat. Phys. 147, 832.
[4] S. Attal, F. Petruccione, and I. Sinayskiy, 2012 Phys. Rev. A 376, 1545.
[5] I. Sinayskiy, and F. Petruccione, 2015 Phys. Scr. T 165, 014017.
[6] I. Sinayskiy, and F. Petruccione, 2017 Fortschr. Phys. 65, 1600063.
[7] A. Zungu, I. Sinayskiy, and F. Petruccione, 2025 arXiv:2503.10379
[8] A. Zungu, I. Sinayskiy, and F. Petruccione, 2026 arXiv:2602.03534