For linear-rate master equations the generating function admits an exact composition-multiplier representation whose Taylor coefficients on any finite window are obtained from a closed lower-triangular ODE of size 2(N+1), independent of the truncation cap N; the same closure is combined with Strang–
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Low-order hybridization expansions fail in multi-orbital systems because the least correlated orbital suppresses correlation features across all orbitals through spurious couplings generated by the truncation.
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Solving linear-rate ODE hierarchies (like master equations) using closures and operator splitting
For linear-rate master equations the generating function admits an exact composition-multiplier representation whose Taylor coefficients on any finite window are obtained from a closed lower-triangular ODE of size 2(N+1), independent of the truncation cap N; the same closure is combined with Strang–
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Validity and Limits of Low Order Hybridization Expansion Approaches for Multi-Orbital Systems
Low-order hybridization expansions fail in multi-orbital systems because the least correlated orbital suppresses correlation features across all orbitals through spurious couplings generated by the truncation.