upward, wiki

Tensor networks

TeNPy - Tensor Network Python library for simulation of strongly correlated quantum systems


M Banuls, Tensor Network Algorithms: A Route Map, ARCMP 14, 173 (2023) – doi

R Orus, Tensor networks for complex quantum systems, NRP 1, 538 (2019) – doi

Density matrix renormalization group

Density matrix renormalization group (Wikipedia)

E Jeckelmann, DMRG

T Nishino, DMRG


F Verstraete, T Nishino, U Schollwock, M Banuls, G Chan, M Stoudenmire, Density matrix renormalization group, 30 years on, NRP 5, 273 (2023) – doi

G Catarina, B Murta, Density-matrix renormalization group: a pedagogical introduction, Eur Phys J B 96, 111 (2023) – doi

Y Xu, Y Cheng, Y Song, H Ma, New Density Matrix Renormalization Group Approaches for Strongly Correlated Systems Coupled with Large Environments, JCTC 19, 4781 (2023) – doi

A Baiardi, M Reiher, The density matrix renormalization group in chemistry and molecular physics: Recent developments and new challenges, JCP 152, 040903 (2020)

S Szalay, M Pfeffer, V Murg, G Barcza, F Verstraete, R Schneider, O Legeza, Tensor Product Methods and Entanglement Optimization for Ab Initio Quantum Chemistry, IJQC 115, 1342 (2015)

U Schollwock, The density-matrix renormalization group in the age of matrix product states, Ann Phys 326, 96 (2011)

A Feiguin, The Density Matrix Renormalization Group and its time-dependent variants (Lecture, 2011)

E Jeckelmann, Density-matrix renormalization group methods for momentum- and frequency-resolved dynamical correlation functions, PTPS 176, 143 (2008)

E Jeckelmann, Dynamical density-matrix renormalization group, LNP 739, 621 (2008)

E Jeckelmann, Density-matrix renormalization group algorithms, LNP 739, 597 (2008)

U Schollwock, The density-matrix renormalization group, RMP 77, 259 (2005)

N Shibata, Application of the density matrix renormalization group method to finite temperatures and two-dimensional systems, JPA 36, R381 (2003)

S Ramasesha, S K Pati, Z Shuai, J L Bredas, The density matrix renormalization group method: application to the low-lying electronic states in conjugated polymers, AQC 38, 121 (2001)

Density-matrix renormalization, ed Peschel I, Wang X, Kaulke M, Hallberg K, LNP 528 (1999)

S Rommer, S Ostlund, Class of ansatz wave functions for one-dimensional spin systems and their relation to the density matrix renormalization group, PRB 55, 2164 (1997)

S R White, Density matrix formulation for quantum renormalization groups, PRL 69, 2863 (1992)


H Luo, M Qin, T Xiang, Optimizing Hartree-Fock orbitals by the density-matrix renormalization group, PRB 81, 235129 (2010) – H2O