Density Matrix Renormalization Group
The density-matrix renormalization group (DMRG) is the most powerful numerical method for simulating one-dimenional quantum lattice models.
1975 Kenneth K. Wilson solved the single-impurity Kondo model using the numerical renormalization group
1992 Steven R White published the first paper on the DMRG.
Some extensions of the DMRG we proposed:
Momentum space DMRG: This is the approach for performing DMRG calculations in momentum space, or more generally in other basis space with non-local and off-diagonal interactions, such as the angular momentum space and the Hartree-Fock basis space used in the Quantum Chemistry calculations
Quantum transfer-matrix renormalization group [Refs 1 & 2]: this is the most accurate numerical method for evaluating thermodynamic quantities of 1D quantum lattice models.
Pace-keeping DMRG: this is the method for solving a time-dependent Schrodinger equation of many interacting particles.