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Article: Classical model emerges in quantum entanglement: Quantum Monte Carlo study for an Ising-Heisenberg bilayer

TitleClassical model emerges in quantum entanglement: Quantum Monte Carlo study for an Ising-Heisenberg bilayer
Authors
Issue Date10-Apr-2023
PublisherAmerican Physical Society
Citation
Physical Review B, 2023, v. 107, n. 15, p. 1-8 How to Cite?
AbstractBy developing a cluster sampling of the stochastic series expansion quantum Monte Carlo method, we investigate a spin -21 model on a bilayer square lattice with intralayer ferromagnetic (FM) Ising coupling and interlayer antiferromagnetic Heisenberg interaction. The continuous quantum phase transition which occurs at gc = 3.045(2) between the FM Ising phase and the dimerized phase is studied via large-scale simulations. From analysis of the critical exponents we show that this phase transition belongs to the (2+1)-dimensional Ising universality class. In addition, the quantum entanglement is strong between the two layers, especially in the dimerized phase. The effective Hamiltonian of a single layer seems like a transverse-field Ising model. However, we found that the quantum entanglement Hamiltonian is a pure classical Ising model without any quantum fluctuations. Furthermore, we give a more general explanation about how a classical entanglement Hamiltonian emerges.
Persistent Identifierhttp://hdl.handle.net/10722/328461
ISSN
2023 Impact Factor: 3.2
2023 SCImago Journal Rankings: 1.345
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorWu, SY-
dc.contributor.authorRan, XX-
dc.contributor.authorYin, BB-
dc.contributor.authorLi, QF-
dc.contributor.authorMao, BB-
dc.contributor.authorWang, YC-
dc.contributor.authorYan, Z-
dc.date.accessioned2023-06-28T04:45:09Z-
dc.date.available2023-06-28T04:45:09Z-
dc.date.issued2023-04-10-
dc.identifier.citationPhysical Review B, 2023, v. 107, n. 15, p. 1-8-
dc.identifier.issn2469-9950-
dc.identifier.urihttp://hdl.handle.net/10722/328461-
dc.description.abstractBy developing a cluster sampling of the stochastic series expansion quantum Monte Carlo method, we investigate a spin -21 model on a bilayer square lattice with intralayer ferromagnetic (FM) Ising coupling and interlayer antiferromagnetic Heisenberg interaction. The continuous quantum phase transition which occurs at gc = 3.045(2) between the FM Ising phase and the dimerized phase is studied via large-scale simulations. From analysis of the critical exponents we show that this phase transition belongs to the (2+1)-dimensional Ising universality class. In addition, the quantum entanglement is strong between the two layers, especially in the dimerized phase. The effective Hamiltonian of a single layer seems like a transverse-field Ising model. However, we found that the quantum entanglement Hamiltonian is a pure classical Ising model without any quantum fluctuations. Furthermore, we give a more general explanation about how a classical entanglement Hamiltonian emerges.-
dc.languageeng-
dc.publisherAmerican Physical Society-
dc.relation.ispartofPhysical Review B-
dc.titleClassical model emerges in quantum entanglement: Quantum Monte Carlo study for an Ising-Heisenberg bilayer-
dc.typeArticle-
dc.identifier.doi10.1103/PhysRevB.107.155121-
dc.identifier.volume107-
dc.identifier.issue15-
dc.identifier.spage1-
dc.identifier.epage8-
dc.identifier.eissn2469-9969-
dc.identifier.isiWOS:000970304500005-
dc.publisher.placeCOLLEGE PK-
dc.identifier.issnl2469-9950-

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