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Density Matrix Renormalization Group Lagrangians

Chan, Garnet Kin-Lic (2008) Density Matrix Renormalization Group Lagrangians. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20201028-143529331

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Abstract

We introduce a Lagrangian formulation of the Density Matrix Renormalization Group (DMRG). We present Lagrangians which when minimised yield the optimal DMRG wavefunction in a variational sense, both within the general matrix product ansatz, as well as within the canonical form of the matrix product that is constructed within the DMRG sweep algorithm. Some of the results obtained are similar to elementary expressions in Hartree-Fock theory, and we draw attention to such analogies. The Lagrangians introduced here will be useful in developing theories of analytic response and derivatives in the DMRG.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/0804.1755arXivDiscussion Paper
ORCID:
AuthorORCID
Chan, Garnet Kin-Lic0000-0001-8009-6038
Record Number:CaltechAUTHORS:20201028-143529331
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20201028-143529331
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106337
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:29 Oct 2020 15:52
Last Modified:29 Oct 2020 15:52

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