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This research establishes a rigorous mathematical equivalence between Zubarev's non-equilibrium statistical operator approach and the Boltzmann equation for modeling quantum systems with approximately conserved charges. By linking relaxation rates directly to diffusive processes, the study provides physicists with a unified framework applicable to scenarios such as electroweak B+L washout and perturbative scalar models. This advancement simplifies theoretical calculations in complex quantum environments without relying on intricate frameworks previously required for such analyses.
Researchers Link Quantum Charge Relaxation to Equilibrium Diffusion

Calculating how conserved properties fade within complex quantum systems has long relied on intricate theoretical frameworks. Now, an alternative calculation method confirms existing models, like Zubarev’s approach and the Boltzmann equation, by demonstrating their equivalence via intermediate timescale evolution. This work offers physicists another tool for modelling interactions involving approximately conserved charges by connecting relaxation rates directly to diffusive processes.
Technical University of Munich, in collaboration with Max Planck Institute for Physics (Werner Heisenberg Institute), Chinese Academy of Sciences, Germany 3 Max Planck Institute investigate how interacting quantum systems return to stability following disturbance. A detailed explanation of Zubarev’s established non-equilibrium statistical operator approach is presented, simplified for clarity, alongside an alternative method based on observing system evolution over time. By identifying key conditions such as weak charge violation…
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