From density-matrix renormalization group to matrix product states

Details From density-matrix renormalization group to matrix product states From density-matrix renormalization group to matrix product states

2007-01-18

arxiv.org/abs/cond-mat/0701428v3

J. Stat. Mech. (2007) P10014

Physics

Condensed Matter

Strongly Correlated Electrons

Numerous small changes and clarifications, added a figure

Scientific paper

10.1088/1742-5468/2007/10/P10014

In this paper we give an introduction to the numerical density matrix renormalization group (DMRG) algorithm, from the perspective of the more general matrix product state (MPS) formulation. We cover in detail the differences between the original DMRG formulation and the MPS approach, demonstrating the additional flexibility that arises from constructing both the wavefunction and the Hamiltonian in MPS form. We also show how to make use of global symmetries, for both the Abelian and non-Abelian cases.

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