dc.identifier.uri |
http://dx.doi.org/10.15488/10530 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/10607 |
|
dc.contributor.author |
Grimmett, Geoffrey R.
|
|
dc.contributor.author |
Osborne, Tobias J.
|
|
dc.contributor.author |
Scudo, Petra F.
|
|
dc.date.accessioned |
2021-03-16T07:39:34Z |
|
dc.date.available |
2021-03-16T07:39:34Z |
|
dc.date.issued |
2020 |
|
dc.identifier.citation |
Grimmett, G.R.; Osborne, T.J.; Scudo, P.F.: Bounded Entanglement Entropy in the Quantum Ising Model. In: Journal of Statistical Physics 178 (2020), Nr. 1, S. 281-291. DOI: https://doi.org/10.1007/s10955-019-02432-y |
|
dc.description.abstract |
A rigorous proof is presented of the boundedness of the entanglement entropy of a block of spins for the ground state of the one-dimensional quantum Ising model with sufficiently strong transverse field. This is proved by a refinement of the stochastic geometric arguments in the earlier work by Grimmett et al. (J Stat Phys 131:305–339, 2008). The proof utilises a transformation to a model of classical probability called the continuum random-cluster model. Our method of proof is fairly robust, and applies also to certain disordered systems. © 2019, The Author(s). |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Heidelberg : Springer |
|
dc.relation.ispartofseries |
Journal of Statistical Physics 178 (2020), Nr. 1 |
|
dc.rights |
CC BY 4.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by/4.0/ |
|
dc.subject |
Area law |
eng |
dc.subject |
Entanglement |
eng |
dc.subject |
Entropy |
eng |
dc.subject |
Quantum Ising model |
eng |
dc.subject |
Random-cluster model |
eng |
dc.subject.ddc |
530 | Physik
|
ger |
dc.title |
Bounded Entanglement Entropy in the Quantum Ising Model |
|
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.essn |
1572-9613 |
|
dc.relation.issn |
0022-4715 |
|
dc.relation.doi |
https://doi.org/10.1007/s10955-019-02432-y |
|
dc.bibliographicCitation.issue |
1 |
|
dc.bibliographicCitation.volume |
178 |
|
dc.bibliographicCitation.firstPage |
281 |
|
dc.bibliographicCitation.lastPage |
296 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|