Dresden 2026 – scientific programme
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QI: Fachverband Quanteninformation
QI 17: Decoherence and Open Systems II
QI 17.1: Talk
Thursday, March 12, 2026, 15:00–15:15, BEY/0137
A mathematical justification to apply the secular approximation to the Redfield equation — •Niklas Jung1,2, Francesco Rosati1,2, Gabriel Rath1,2, Frank Wilhelm1,2, and Peter Schuhmacher3 — 1Theoretical Physics, Saarland University, Campus, 66123 Saarbruecken, Germany — 2Institute for Quantum Computing Analytics (PGI-12), Forschungszentrum Juelich, 52425 Juelich, Germany — 3Department of High Performance Computing, Institute of Software Technology, German Aerospace Center (DLR), Rathausallee 12, 53757 Sankt Augustin, Germany
In this work, we prove that the solutions of the master equation obtained by applying the secular approximation are also obtained by an approximation of the same order as the one performed to obtain the Redfield equation. We hereby provide a mathematical justification for the secular approximation. We show that the result of applying the secular approximation is obtained naturally by applying a self-consistency argument. This shows that the resulting master equation is also in the same equivalence class of approximations as the Redfield master equation.
Keywords: Lindblad Equation; Master Equation; Redfield Equation