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In quantum mechanics, the Rosen-Zener model represents a two-level quantumsystem. Its generalization to multiple degenerate sets of states leads tolarger non-autonomous linear system of ordinary differential equations (ODEs).We propose a new method for computing the solution operator of this system ofODEs. This new method is based on a recently introduced expression of thesolution in terms of an infinite matrix equation, which can be efficientlyapproximated by combining truncation, fixed point iterations, and low-rankapproximation. This expression is possible thanks to the so-called$\star$-product approach for linear ODEs. In the numerical experiments, the newmethod's computing time scales linearly with the model's size. We provide afirst partial explanation of this linear behavior.

A new fast numerical method for the generalized Rosen-Zener model