https://doi.org/10.1140/epjs/s11734-025-01925-0
Regular Article
Quantum Brownian motion for embedded system
Institute for Complex Quantum Systems and IQST, Ulm University, Albert-Einstein-Allee 11, 89069, Ulm, Germany
a
meng.xu@uni-ulm.de
b
joachim.ankerhold@uni-ulm.de
Received:
1
July
2025
Accepted:
5
September
2025
Published online:
19
September
2025
Conventional derivations of the Wigner phase-space Fokker–Planck equation for open quantum systems often rely on heuristic coarse-graining of system-bath interactions. We present quantum dissipation in a minimally extended state space (QD-MESS), a unified framework that systematically models Gaussian bath dynamics in Wigner phase space with controllable numerical accuracy, yields a transparent quantum-classical picture for arbitrary noise spectra, and recovers the quantum-optical, Caldeira–Leggett, and quantum Smoluchowski limits.
© The Author(s) 2025
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