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In this work, we combine an established method for open quantum systems --the time evolving density matrix using orthogonal polynomials algorithm(TEDOPA) -- with the transfer tensors formalism (TTM), a new tool for theanalysis, compression and propagation of non-Markovian processes. This enablesthe investigation of previously inaccessible long-time dynamics, such as thoseensuing from low temperature regimes with arbitrary, possibly highlystructured, spectral densities. We briefly introduce both methods, followed bya benchmark to prove viability and combination synergies. Subsequently weillustrate the capabilities of this approach at the hand of specific examplesand conclude our analysis by highlighting possible further applications of ourmethod.

Efficient simulation of non-Markovian system-environment interaction