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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. (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) |
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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/ |
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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. (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) |
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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) |
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