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Linear Response Theory for the Density Matrix Renormalization Group: Efficient Algorithms for Strongly Correlated Excited States
Naoki Nakatani, Sebastian Wouters, Dimitri Van Neck +1
Linear response theory for the density matrix renormalization group (DMRG-LRT) was first presented in terms of the DMRG renormalization projectors [Dorando et al., J. Chem. Phys. 1…
Variational optimization of the 2DM: approaching three-index accuracy using extended cluster constraints
Brecht Verstichel, Ward Poelmans, Stijn De Baerdemacker +2
The reduced density matrix is variationally optimized for the two-dimensional Hubbard model. Exploiting all symmetries present in the system, we have been able to study …
The Thouless theorem for matrix product states and subsequent post-density matrix renormalization group methods
Sebastian Wouters, Naoki Nakatani, Dimitri Van Neck +1
The similarities between Hartree-Fock (HF) theory and the density-matrix renormalization group (DMRG) are explored. Both methods can be formulated as the variational optimization o…
Extensive v2DM study of the one-dimensional Hubbard model for large lattice sizes: Exploiting translational invariance and parity
Brecht Verstichel, Helen van Aggelen, Ward Poelmans +2
Using variational density matrix optimization with two- and three-index conditions we study the one-dimensional Hubbard model with periodic boundary conditions at various filling f…