dc.contributor.author
Bertoni, Christian
dc.contributor.author
Renes, Joseph M.
dc.date.accessioned
2022-09-16T11:48:17Z
dc.date.available
2022-09-16T11:48:17Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/36340
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-36056
dc.description.abstract
The connections between renormalization in statistical mechanics and information theory are intuitively evident, but a satisfactory theoretical treatment remains elusive. We show that the real space renormalization map that minimizes long range couplings in the renormalized Hamiltonian is, somewhat counterintuitively, the one that minimizes the loss of short-range mutual information between a block and its boundary. Moreover, we show that a previously proposed minimization focusing on preserving long-range mutual information is a relaxation of this approach, which indicates that the aims of preserving long-range physics and eliminating short-range couplings are related in a nontrivial way.
en
dc.format.extent
12 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by/4.0/
dc.subject
renormalization
en
dc.subject
real space mutual information
en
dc.subject
Markov network
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::530 Physik::530 Physik
dc.title
Minimizing couplings in renormalization by preserving short-range mutual information
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.articlenumber
375004
dcterms.bibliographicCitation.doi
10.1088/1751-8121/ac8383
dcterms.bibliographicCitation.journaltitle
Journal of Physics A: Mathematical and Theoretical
dcterms.bibliographicCitation.number
37
dcterms.bibliographicCitation.volume
55
dcterms.bibliographicCitation.url
https://doi.org/10.1088/1751-8121/ac8383
refubium.affiliation
Physik
refubium.affiliation.other
Dahlem Center für komplexe Quantensysteme
refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.eissn
1751-8121
refubium.resourceType.provider
WoS-Alert