Infinite size density matrix renormalization group, revisited
| dc.creator | McCulloch, I. P. | |
| dc.date | 2008-04-16 | |
| dc.date.accessioned | 2026-07-07T09:32:54Z | |
| dc.date.available | 2026-07-07T09:32:54Z | |
| dc.description | I revisit the infinite-size variant of the Density Matrix Renormalization Group (iDMRG) algorithm for obtaining a fixed-point translationally invariant matrix product wavefunction in the context of one-dimensional quantum systems. A crucial ingredient of this algorithm is an efficient transformation for obtaining the matrix elements of the wavefunction as the lattice size is increased, and I introduce here a versatile transformation that is demonstrated to be much more effective than previous versions. The resulting algorithm has a surprisingly close relationship to Vidal's Time Evolving Block Decimation for infinite systems, but allows much faster convergence. Access to a translationally invariant matrix product state allows the calculation of correlation functions based on the transfer matrix, which directly gives the spectrum of all correlation lengths. I also show some advantages of the Matrix Product Operator (MPO) technique for constructing expectation values of higher moments, such as the exact variance $<(H-E)^2>$. | |
| dc.description | 12 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/0804.2509 | |
| dc.identifier | http://arxiv.org/abs/0804.2509 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158946 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Infinite size density matrix renormalization group, revisited | |
| dc.type | text |