Brehmer, PaulHerbst, Michael F.Wessel, StefanRizzi, MatteoStamm, Benjamin2023-09-112023-09-112023-09-112023-08-1810.1103/PhysRevE.108.025306https://infoscience.epfl.ch/handle/20.500.14299/200593WOS:001055197500003Within the reduced basis methods approach, an effective low-dimensional subspace of a quantum many-body Hilbert space is constructed in order to investigate, e.g., the ground-state phase diagram. The basis of this subspace is built from solutions of snapshots, i.e., ground states corresponding to particular and well-chosen parameter values. Here, we show how a greedy strategy to assemble the reduced basis and thus to select the parameter points can be implemented based on matrix-product-state calculations. Once the reduced basis has been obtained, observables required for the computation of phase diagrams can be computed with a computational complexity independent of the underlying Hilbert space for any parameter value. We illustrate the efficiency and accuracy of this approach for different one-dimensional quantum spin-1 models, including anisotropic as well as biquadratic exchange interactions, leading to rich quantum phase diagrams.Physics, Fluids & PlasmasPhysics, MathematicalPhysicsmatrix product statesrenormalization-groupbasis approximationground-statesalgorithmsphasetext::journal::journal article::research article