About: Density matrix renormalization group

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The density matrix renormalization group (DMRG) is a numerical variational technique devised to obtain the low-energy physics of quantum many-body systems with high accuracy. As a variational method, DMRG is an efficient algorithm that attempts to find the lowest-energy matrix product state wavefunction of a Hamiltonian. It was invented in 1992 by Steven R. White and it is nowadays the most efficient method for 1-dimensional systems.

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rdf:type	Thing topical concept
rdfs:label	Grupo de renormalización de la matriz de densidad (es) Density matrix renormalization group (en) 密度行列繰り込み群法 (ja) 密度矩陣重整化群 (zh)
rdfs:comment	The density matrix renormalization group (DMRG) is a numerical variational technique devised to obtain the low-energy physics of quantum many-body systems with high accuracy. As a variational method, DMRG is an efficient algorithm that attempts to find the lowest-energy matrix product state wavefunction of a Hamiltonian. It was invented in 1992 by Steven R. White and it is nowadays the most efficient method for 1-dimensional systems. (en) El grupo de renormalización de la matriz de densidad (GRMD, o por sus siglas en inglés DMRG) es una técnica numérica variacional usada para obtener la física a bajas energías de sistemas cuánticos de muchos cuerpos con alta precisión. Fue inventado en 1992 por y es hoy en día uno de los métodos más eficientes para modelos unidimensionales. (es) 密度行列繰り込み群法（みつどぎょうれつくりこみぐんほう英: density matrix renormalization group; DMRG）は、量子多体系における低エネルギー物理を高精度に計算するために考案された数値変分法である。1992年に Steven R. White により開発された。 (ja) 密度矩陣重整化群 (Density Matrix Renormalization Group)，簡稱DMRG，是一種數值演算法，於西元1992年由美國物理學家史提芬·懷特提出。密度矩陣重整化群是用來計算量子多體系統（例如：Hubbard model、t-J模型、海森堡模型，等等）的一個非常精準的數值演算法，在一維或準一維的系統可以得到系統尺寸很大且很準確的計算結果，但是在二維的量子多體系統中卻很難達到所需要的精確度。目前此演算法仍無法計算三維的量子系統。 (zh)
rdfs:seeAlso	DMRG of the Heisenberg model
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dcterms:subject	Statistical mechanics Theoretical physics Computational physics
Wikipage page ID	564527 (xsd:integer)
Wikipage revision ID	1117552405 (xsd:integer)
Link from a Wikipage to another Wikipage	Python (programming language) Quantum computer Quantum dots Nonequilibrium Dendrimers Renormalization group DMRG of the Heisenberg model Variational method (quantum mechanics) Degrees of freedom Iterative Quantum Chemistry Statistical mechanics Theoretical physics Quantum wire GPL Configuration interaction Arnoldi iteration Macroscopic scale Density matrix Parallel algorithm Many-body problem C++ Lanczos algorithm Linear subspace Steven R. White Fortran Computational physics Ising model Kondo effect Quantum Monte Carlo Ground state Heisenberg model (quantum) Hilbert space Ab initio quantum chemistry methods Karen Hallberg Kenneth G. Wilson Boson Spin-1/2 Spin (physics) Hubbard model Matrix product state Dmrg of Heisenberg model Statistical physics Time-evolving block decimation Tree graph
Link from a Wikipage to an external page	http://itensor.org/ http://qti.sns.it/dmrg/phome.html http://quattro.phys.sci.kobe-u.ac.jp/dmrg/condmat.html https://g1257.github.io/dmrgPlusPlus/index.html https://people.smp.uq.edu.au/IanMcCulloch/mptoolkit/index.php https://dx.doi.org/10.1016/j.cpc.2014.01.019 https://pypi.org/project/block2/ http://prola.aps.org/abstract/PRL/v69/i19/p2863_1 http://alps.comp-phys.org https://arxiv.org/abs/1008.3477 https://arxiv.org/abs/1407.2040 https://arxiv.org/abs/cond-mat/0207340 https://arxiv.org/abs/cond-mat/0407066 https://arxiv.org/abs/cond-mat/0409292 https://arxiv.org/abs/cond-mat/0502475 https://arxiv.org/abs/cond-mat/0603842 https://arxiv.org/abs/cond-mat/0609039 https://arxiv.org/abs/cond-mat/9606213 https://github.com/SebWouters/CheMPS2 https://github.com/entron/snake-dmrg https://github.com/sanshar/Block https://sourceforge.net/projects/openmps/ https://web.archive.org/web/20070721172908/http:/hedrock.ps.uci.edu/dmrgpaper/dmrgpap.pdf https://web.archive.org/web/20171204225717/http:/qti.sns.it/dmrg/phome.html https://www.youtube.com/watch%3Fv=U96atV5Akx4 https://www.springer.com/gp/book/9783540661290 https://gitlab.com/uni10/uni10/
sameAs	Density matrix renormalization group Density matrix renormalization group Density matrix renormalization group Density matrix renormalization group Density matrix renormalization group Density matrix renormalization group
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