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arXiv · 2509.22604

Exact solutions of open quantum Brownian motions on the real line for two-level systems

Manuel D. de la Iglesia·Carlos F. Lardizabal
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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.

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Manuel D. de la Iglesia, Carlos F. Lardizabal. 2025-09-26. Exact solutions of open quantum Brownian motions on the real line for two-level systems. https://arxiv.org/abs/2509.22604

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