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Variational approach to projected entangled pair states at finite temperature
Journal
Physical Review. B, Condensed Matter and Materials Physics
Author
Czarnik Piotr
Dziarmaga Jacek
Volume
92
Issue
3
Article ID
035152
ISSN
1098-0121
eISSN
1550-235X1538-4489
Language
English
Container language
English
Abstract in English
The projected entangled pair state (PEPS) ansatz can represent a thermal state in a strongly correlated system. We introduce a variational algorithm to optimize this tensor network whose essential ingredient is an auxiliary tree tensor network (TTN). Since the full tensor environment is taken into account, with increasing bond dimension the PEPS-TTN ansatz provides the exact Gibbs state. Our presentation opens with a 1D version for a matrix product state (MPS-TTN) and then generalizes to PEPS-TTN in 2D. Benchmark results in the quantum Ising model are presented.
Affiliation
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
dc.abstract.en | The projected entangled pair state (PEPS) ansatz can represent a thermal state in a strongly correlated system. We introduce a variational algorithm to optimize this tensor network whose essential ingredient is an auxiliary tree tensor network (TTN). Since the full tensor environment is taken into account, with increasing bond dimension the PEPS-TTN ansatz provides the exact Gibbs state. Our presentation opens with a 1D version for a matrix product state (MPS-TTN) and then generalizes to PEPS-TTN in 2D. Benchmark results in the quantum Ising model are presented. | pl |
dc.affiliation | Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego | pl |
dc.contributor.author | Czarnik, Piotr - 115436 | pl |
dc.contributor.author | Dziarmaga, Jacek - 127850 | pl |
dc.date.accessioned | 2015-12-11T09:38:43Z | |
dc.date.available | 2015-12-11T09:38:43Z | |
dc.date.issued | 2015 | pl |
dc.description.number | 3 | pl |
dc.description.publication | 0,5 | pl |
dc.description.volume | 92 | pl |
dc.identifier.articleid | 035152 | pl |
dc.identifier.doi | 10.1103/PhysRevB.92.035152 | pl |
dc.identifier.eissn | 1550-235X | pl |
dc.identifier.eissn | 1538-4489 | pl |
dc.identifier.issn | 1098-0121 | pl |
dc.identifier.uri | http://ruj.uj.edu.pl/xmlui/handle/item/18093 | |
dc.language | eng | pl |
dc.language.container | eng | pl |
dc.rights | Dodaję tylko opis bibliograficzny | * |
dc.rights.licence | bez licencji | |
dc.rights.uri | * | |
dc.subtype | Article | pl |
dc.title | Variational approach to projected entangled pair states at finite temperature | pl |
dc.title.journal | Physical Review. B, Condensed Matter and Materials Physics | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |
Affiliations
Wydział Fizyki, Astronomii i Informatyki Stosowanej
Dziarmaga, Jacek
Czarnik, Piotr