Learn to Use ITensor
Here are a few papers we have found to be helpful introductions to tensor product or DMRG methods.
Matrix / Tensor Product State Algorithms
The density-matrix renormalization group in the age of matrix product states, U. Schollwöck, Annals of Physics 326, p. 96-192 (2011) arxiv:1008.3477
Comments: This paper is currently the most thorough and up-to-date discussion of tensor product state methods, especially DMRG. The concepts described in the paper align closely with the features of the ITensor Library.
Comments: Good introduction to MERA wavefunctions which are a promising post-DMRG application of tensor network ideas.
From density-matrix renormalization group to matrix product states, I.P. McCulloch, J. Stat. Mech. P10014 (2007) cond-mat/0701428
Comments: Explores many of the practical issues involved in doing DMRG with matrix product states.
Finite automata for caching in matrix product algorithms, G.M. Crosswhite and D. Bacon, Phys. Rev. A 78, 012356 (2008) arxiv:0708.1221
Comments: This paper is essential for gaining a better understanding of why MPS and MPOs work and how to construct them.
The Density Matrix Renormalization Group
Comments: An extremely thorough and well-written review of DMRG methods and applications.
Diagonalization and Numerical Renormalization Group Based Methods for Interacting Quantum Systems, R.M. Noack and S. Manmana, AIP Conference Proceedings 789 93-163, (2005)
Comments: This DMRG review article is very useful because it goes into the nuts and bolts of writing a DMRG code, including the Davidson algorithm commonly used as a DMRG sparse matrix eigensolver.
Density matrix formulation for quantum renormalization groups, S.R. White, Phys. Rev. Lett. 69, 2863-2866 (1992)
Comments: Original DMRG paper - named the PRL Milestone of 1992.
Infinite size density matrix renormalization group, revisited, I.P. McCulloch, arxiv:0804.2509 (2008)
Comments: Solution of the wavefunction acceleration problem plaguing infinite DMRG. This paper really demonstrates the power of the MPS formalism.
Studying Two Dimensional Systems With the Density Matrix Renormalization Group, E.M. Stoudenmire and S.R. White, arxiv:1105.1374 (2011)
Comments: Lots of useful advice about the best practices for applying DMRG to 2d systems.
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