From density-matrix renormalization group to matrix product states

McCulloch, Ian P. (2007) From density-matrix renormalization group to matrix product states. Journal of Statistical Mechanics: Theory and Experiment, 27 4: P10014-1-P10014-19. doi:10.1088/1742-5468/2007/10/P10014


Author McCulloch, Ian P.
Title From density-matrix renormalization group to matrix product states
Journal name Journal of Statistical Mechanics: Theory and Experiment   Check publisher's open access policy
ISSN 1742-5468
Publication date 2007-10-01
Year available 2007
Sub-type Article (original research)
DOI 10.1088/1742-5468/2007/10/P10014
Open Access Status Not yet assessed
Volume 27
Issue 4
Start page P10014-1
End page P10014-19
Total pages 19
Place of publication Bristol, U.K.
Publisher Institute of Physics Publishing
Language eng
Abstract 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.
Keyword Density matrix renormalization group calculations
Other numerical approaches
Quantum phase transitions (theory)
Quantum many body problems
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
ERA 2012 Admin Only
 
Versions
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 136 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 88 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Created: Tue, 25 Oct 2011, 04:10:47 EST by System User on behalf of School of Mathematics & Physics