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We introduce a Lagrangian formulation of the density matrix renormalisation group (DMRG). We present Lagrangians which, when minimised, yield the optimal DMRG wavefunction in a variational sense, both within the general matrix product ansatz and 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.

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Caltech Authors  


Chan, Garnet Kin -  Lic - 

Id.: 69524201

Versión: 1.0

Estado: Final

Tipo:  application/pdf -  application/pdf - 

Tipo de recurso: Article  -  PeerReviewed  - 

Tipo de Interactividad: Expositivo

Nivel de Interactividad: muy bajo

Audiencia: Estudiante  -  Profesor  -  Autor  - 

Estructura: Atomic

Coste: no

Copyright: sí

Formatos:  application/pdf -  application/pdf - 

Requerimientos técnicos:  Browser: Any - 

Relación: [References] http://resolver.caltech.edu/CaltechAUTHORS:20170106-180109128
[References] http://authors.library.caltech.edu/73322/

Fecha de contribución: 17-sep-2017


* Chan, Garnet Kin-Lic (2008) Density matrix renormalisation group Lagrangians. Physical Chemistry Chemical Physics, 10 (23). pp. 3454-3459. ISSN 1463-9076. http://resolver.caltech.edu/CaltechAUTHORS:20170106-180109128

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