The Density Matrix Renormalization Group

Abstract

Since its creation in 1992, the density matrix renormalization group (DMRG) method has evolved and mutated. From its original formulation in a condensed matter context, it has been adapted to study problems in various fields, such as nuclear physics and quantum chemistry, becoming one of the dominant numerical techniques to simulate strongly correlated systems. In this chapter, we shall cover many technical aspects of the DMRG, from a “traditional”, or “conventional” perspective, describing the theoretical fundamentation, as well as the details of the algorithm.