Rigorous bounds prove that the number of complex exponentials needed for non-Markovian bath correlations is bounded independently of T for many spectral densities, with mild T-dependence only for strong singularities.
Goychuk, Advances in Chemical Physics 150, 187 (2012)
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Provably Efficient Long-Time Exponential Decompositions of Non-Markovian Gaussian Baths
Rigorous bounds prove that the number of complex exponentials needed for non-Markovian bath correlations is bounded independently of T for many spectral densities, with mild T-dependence only for strong singularities.