“…That there is a need for an MPS time evolution algorithm that retains the desirable properties of the 1TDVP, while allowing bond dimensions to change in response to emerging entanglement, is widely agreed upon in the literature and there have recently been a number of papers which make progress in this direction 10,15,59,62 . Notably, Yang and White 62 have proposed a general, bond-adaptive 1TDVP variant, drawing on ideas related to subspace expansions for one-site DMRG 29 , wherein the MPS is enriched at each step with the help of global Krylov vectors, which are constructed by several applications of the Hamiltonian's MPO to the MPS.…”