Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | 022418 |
| Fachzeitschrift | Physical Review A |
| Jahrgang | 107 |
| Ausgabenummer | 2 |
| Frühes Online-Datum | 13 Feb. 2023 |
| Publikationsstatus | Veröffentlicht - Feb. 2023 |
Abstract
We observe that the many-body eigenstates of any quadratic, fermionic Hamiltonian with sublattice symmetry have quantized entanglement entropies between the sublattices: the entanglement comes in multiple singlets. Moreover, such systems always have a ground state that is maximally entangled between the two sublattices. In fact, we also show that under the same assumptions there always exists a (potentially distinct) basis of energy eigenstates that do not conserve the particle number in which each energy eigenstate is maximally entangled between the sublattices. No additional properties, such as translation invariance, are required. We also show that the quantization of ground-state entanglement may persist when interactions are introduced.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Atom- und Molekularphysik sowie Optik
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in: Physical Review A, Jahrgang 107, Nr. 2, 022418, 02.2023.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Quantized and maximum entanglement from sublattice symmetry
AU - Wilming, Henrik
AU - Osborne, Tobias J.
N1 - Funding Information: We thank Z. Zimborás and C. Karrasch for valuable correspondence. Support from the DFG through SFB 1227 (DQ-mat) and Quantum Valley Lower Saxony and funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy EXC-2123 QuantumFrontiers 390837967 are also acknowledged.
PY - 2023/2
Y1 - 2023/2
N2 - We observe that the many-body eigenstates of any quadratic, fermionic Hamiltonian with sublattice symmetry have quantized entanglement entropies between the sublattices: the entanglement comes in multiple singlets. Moreover, such systems always have a ground state that is maximally entangled between the two sublattices. In fact, we also show that under the same assumptions there always exists a (potentially distinct) basis of energy eigenstates that do not conserve the particle number in which each energy eigenstate is maximally entangled between the sublattices. No additional properties, such as translation invariance, are required. We also show that the quantization of ground-state entanglement may persist when interactions are introduced.
AB - We observe that the many-body eigenstates of any quadratic, fermionic Hamiltonian with sublattice symmetry have quantized entanglement entropies between the sublattices: the entanglement comes in multiple singlets. Moreover, such systems always have a ground state that is maximally entangled between the two sublattices. In fact, we also show that under the same assumptions there always exists a (potentially distinct) basis of energy eigenstates that do not conserve the particle number in which each energy eigenstate is maximally entangled between the sublattices. No additional properties, such as translation invariance, are required. We also show that the quantization of ground-state entanglement may persist when interactions are introduced.
UR - http://www.scopus.com/inward/record.url?scp=85148333594&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2112.15177
DO - 10.48550/arXiv.2112.15177
M3 - Article
AN - SCOPUS:85148333594
VL - 107
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 2
M1 - 022418
ER -