Topological and nematic ordered phases in many-body cluster-Ising models

Autor(en)

S. M. Giampaolo, B. C. Hiesmayr

Abstrakt

We present a fully analytically solvable family of models with many-body cluster interaction and Ising interaction. This family exhibits two phases, dubbed cluster and Ising phases, respectively. The critical point turns out to be independent of the cluster size n + 2 and is reached exactly when both interactions are equally weighted. For even n we prove that the cluster phase corresponds to a nematic ordered phase and in the case of odd n to a symmetry-protected topological ordered phase. Though complex, we are able to quantify the multiparticle entanglement content of neighboring spins. We prove that there exists no bipartite or, in more detail, no n + 1-partite entanglement. This is possible since the nontrivial symmetries of the Hamiltonian restrict the state space. Indeed, only if the Ising interaction is strong enough ( local) genuine n + 2-partite entanglement is built up. Due to their analytical solvableness the n-cluster-Ising models serve as a prototype for studying nontrivial-spin orderings, and due to their peculiar entanglement properties they serve as a potential reference system for the performance of quantum information tasks.

Organisation(en)

Teilchenphysik

Externe Organisation(en)

Theory@Elettra Group

Journal

Physical Review A

Band

92

Anzahl der Seiten

9

ISSN

1050-2947

DOI

https://doi.org/10.1103/PhysRevA.92.012306

Publikationsdatum

07-2015

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik, 103034 Teilchenphysik

Schlagwörter

ASJC Scopus Sachgebiete

Atomic and Molecular Physics, and Optics

Link zum Portal

https://ucris.univie.ac.at/portal/de/publications/topological-and-nematic-ordered-phases-in-manybody-clusterising-models(d78ae382-ed54-45c5-be38-5bf4022929f9).html