Concept record · edition 0.1.0
DMRG
A variational sweep algorithm that optimizes a state site by site, later understood as optimization over the MPS manifold.
Why it matters
It is the method that made one-dimensional quantum many-body simulation routine, and the practical origin of the tensor-network program.
Claims using this concept
Sources
primary paper · identifier verified
Density matrix formulation for quantum renormalization groups
Steven R. White · 1992
DOI:10.1103/PhysRevLett.69.2863
Primary source for DMRG, the variational method later understood as optimization over matrix product states.
Source record →review article · identifier verified
The density-matrix renormalization group in the age of matrix product states
Ulrich Schollwöck · 2010
arXiv:1008.3477
Standard reference for MPS canonical forms, SVD truncation, and the reformulation of DMRG in tensor-network language.
Source record →