Matches in SemOpenAlex for { <https://semopenalex.org/work/W3033779131> ?p ?o ?g. }
- W3033779131 abstract "Constructing matrix product operators (MPOs) is at the core of the modern density matrix renormalization group (DMRG) and its time dependent formulation. For the DMRG to be conveniently used in different problems described by different Hamiltonians, in this work, we propose a new generic algorithm to construct the MPO of an arbitrary operator with a sum-of-products form based on the bipartite graph theory. We show that the method has the following advantages: (i) it is automatic in that only the definition of the operator is required; (ii) it is symbolic thus free of any numerical error; (iii) the complementary operator technique can be fully employed so that the resulting MPO is globally optimal for any given order of degrees of freedom; and (iv) the symmetry of the system could be fully employed to reduce the dimension of MPO. To demonstrate the effectiveness of the new algorithm, the MPOs of Hamiltonians ranging from the prototypical spin–boson model and the Holstein model to the more complicated ab initio electronic Hamiltonian and the anharmonic vibrational Hamiltonian with the sextic force field are constructed. It is found that for the former three cases, our automatic algorithm can reproduce exactly the same MPOs as the optimally hand-crafted ones already known in the literature." @default.
- W3033779131 created "2020-06-12" @default.
- W3033779131 creator A5021416963 @default.
- W3033779131 creator A5024665341 @default.
- W3033779131 creator A5063651217 @default.
- W3033779131 creator A5064934303 @default.
- W3033779131 date "2020-08-28" @default.
- W3033779131 modified "2023-10-01" @default.
- W3033779131 title "A general automatic method for optimal construction of matrix product operators using bipartite graph theory" @default.
- W3033779131 cites W1558867632 @default.
- W3033779131 cites W1580989833 @default.
- W3033779131 cites W1663839511 @default.
- W3033779131 cites W1828807789 @default.
- W3033779131 cites W1965418516 @default.
- W3033779131 cites W1969087374 @default.
- W3033779131 cites W1971236366 @default.
- W3033779131 cites W1974034659 @default.
- W3033779131 cites W1979311553 @default.
- W3033779131 cites W1983194707 @default.
- W3033779131 cites W1985391085 @default.
- W3033779131 cites W1988996307 @default.
- W3033779131 cites W1993482030 @default.
- W3033779131 cites W2008828522 @default.
- W3033779131 cites W2008931657 @default.
- W3033779131 cites W2015541791 @default.
- W3033779131 cites W2019433356 @default.
- W3033779131 cites W2020737574 @default.
- W3033779131 cites W2022630527 @default.
- W3033779131 cites W2025520081 @default.
- W3033779131 cites W2025734445 @default.
- W3033779131 cites W2028187716 @default.
- W3033779131 cites W2029173015 @default.
- W3033779131 cites W2029888802 @default.
- W3033779131 cites W2035175955 @default.
- W3033779131 cites W2037768897 @default.
- W3033779131 cites W2039270643 @default.
- W3033779131 cites W2064158609 @default.
- W3033779131 cites W2064519539 @default.
- W3033779131 cites W2068473123 @default.
- W3033779131 cites W2082074139 @default.
- W3033779131 cites W2085463127 @default.
- W3033779131 cites W2092682448 @default.
- W3033779131 cites W2094346955 @default.
- W3033779131 cites W2115068116 @default.
- W3033779131 cites W2121470516 @default.
- W3033779131 cites W2125410420 @default.
- W3033779131 cites W2157529519 @default.
- W3033779131 cites W2160665666 @default.
- W3033779131 cites W2166364272 @default.
- W3033779131 cites W2222512263 @default.
- W3033779131 cites W2300147658 @default.
- W3033779131 cites W2361647693 @default.
- W3033779131 cites W2511417322 @default.
- W3033779131 cites W2550595171 @default.
- W3033779131 cites W2572028881 @default.
- W3033779131 cites W2599154196 @default.
- W3033779131 cites W2599353884 @default.
- W3033779131 cites W2726820531 @default.
- W3033779131 cites W2742142371 @default.
- W3033779131 cites W2753141982 @default.
- W3033779131 cites W2756519801 @default.
- W3033779131 cites W2781985751 @default.
- W3033779131 cites W2785478418 @default.
- W3033779131 cites W2790326078 @default.
- W3033779131 cites W2808981761 @default.
- W3033779131 cites W2811226563 @default.
- W3033779131 cites W2886855591 @default.
- W3033779131 cites W2898180617 @default.
- W3033779131 cites W2918307181 @default.
- W3033779131 cites W2924261559 @default.
- W3033779131 cites W2960921262 @default.
- W3033779131 cites W2970960528 @default.
- W3033779131 cites W2991552886 @default.
- W3033779131 cites W3002596439 @default.
- W3033779131 cites W3017328510 @default.
- W3033779131 cites W3023240136 @default.
- W3033779131 cites W3031054610 @default.
- W3033779131 cites W3098625162 @default.
- W3033779131 cites W3099069093 @default.
- W3033779131 cites W3101918452 @default.
- W3033779131 cites W3102540478 @default.
- W3033779131 cites W3103713775 @default.
- W3033779131 cites W3106011565 @default.
- W3033779131 cites W3122262443 @default.
- W3033779131 cites W3137380612 @default.
- W3033779131 doi "https://doi.org/10.1063/5.0018149" @default.
- W3033779131 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/32872857" @default.
- W3033779131 hasPublicationYear "2020" @default.
- W3033779131 type Work @default.
- W3033779131 sameAs 3033779131 @default.
- W3033779131 citedByCount "20" @default.
- W3033779131 countsByYear W30337791312020 @default.
- W3033779131 countsByYear W30337791312021 @default.
- W3033779131 countsByYear W30337791312022 @default.
- W3033779131 countsByYear W30337791312023 @default.
- W3033779131 crossrefType "journal-article" @default.
- W3033779131 hasAuthorship W3033779131A5021416963 @default.
- W3033779131 hasAuthorship W3033779131A5024665341 @default.
- W3033779131 hasAuthorship W3033779131A5063651217 @default.
- W3033779131 hasAuthorship W3033779131A5064934303 @default.