Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | 060504 |
| Fachzeitschrift | Physical Review Letters |
| Jahrgang | 105 |
| Ausgabenummer | 6 |
| Publikationsstatus | Veröffentlicht - 6 Aug. 2010 |
| Extern publiziert | Ja |
Abstract
We identify a large class of quantum many-body systems that can be solved exactly: natural frustration-free spin-1/2 nearest-neighbor Hamiltonians on arbitrary lattices. We show that the entire ground-state manifold of such models can be found exactly by a tensor network of isometries acting on a space locally isomorphic to the symmetric subspace. Thus, for this wide class of models, real-space renormalization can be made exact. Our findings also imply that every such frustration-free spin model satisfies an area law for the entanglement entropy of the ground state, establishing a novel large class of models for which an area law is known. Finally, we show that our approach gives rise to an ansatz class useful for the simulation of almost frustration-free models in a simple fashion, outperforming mean-field theory.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Allgemeine Physik und Astronomie
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in: Physical Review Letters, Jahrgang 105, Nr. 6, 060504, 06.08.2010.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Solving frustration-free spin systems
AU - De Beaudrap, N.
AU - Ohliger, M.
AU - Osborne, Tobias J.
AU - Eisert, J.
PY - 2010/8/6
Y1 - 2010/8/6
N2 - We identify a large class of quantum many-body systems that can be solved exactly: natural frustration-free spin-1/2 nearest-neighbor Hamiltonians on arbitrary lattices. We show that the entire ground-state manifold of such models can be found exactly by a tensor network of isometries acting on a space locally isomorphic to the symmetric subspace. Thus, for this wide class of models, real-space renormalization can be made exact. Our findings also imply that every such frustration-free spin model satisfies an area law for the entanglement entropy of the ground state, establishing a novel large class of models for which an area law is known. Finally, we show that our approach gives rise to an ansatz class useful for the simulation of almost frustration-free models in a simple fashion, outperforming mean-field theory.
AB - We identify a large class of quantum many-body systems that can be solved exactly: natural frustration-free spin-1/2 nearest-neighbor Hamiltonians on arbitrary lattices. We show that the entire ground-state manifold of such models can be found exactly by a tensor network of isometries acting on a space locally isomorphic to the symmetric subspace. Thus, for this wide class of models, real-space renormalization can be made exact. Our findings also imply that every such frustration-free spin model satisfies an area law for the entanglement entropy of the ground state, establishing a novel large class of models for which an area law is known. Finally, we show that our approach gives rise to an ansatz class useful for the simulation of almost frustration-free models in a simple fashion, outperforming mean-field theory.
UR - http://www.scopus.com/inward/record.url?scp=77955567889&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.105.060504
DO - 10.1103/PhysRevLett.105.060504
M3 - Article
AN - SCOPUS:77955567889
VL - 105
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 6
M1 - 060504
ER -