Exact solutions of open quantum Brownian motions on the real line for two-level systems
Quantum Physics
2025-09-29 v1
Abstract
We investigate open quantum Brownian motions as quantum analogues of classical diffusion processes under interaction with an external enviroment. Building upon the microscopic derivation by Sinayskiy and Petruccione [20], we revisit the associated master equation and study its formulation as a generalized parabolic system. Employing Fourier transform methods, we derive exact analytical solutions for one-dimensional evolutions of particles with two-level internal degree of freedom.
Keywords
Cite
@article{arxiv.2509.22604,
title = {Exact solutions of open quantum Brownian motions on the real line for two-level systems},
author = {Manuel D. de la Iglesia and Carlos F. Lardizabal},
journal= {arXiv preprint arXiv:2509.22604},
year = {2025}
}