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Topological and nematic ordered phases in many-body cluster-Ising models (CROSBI ID 266728)

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Giampaolo, S. M. ; Hiesmayr, B. C. Topological and nematic ordered phases in many-body cluster-Ising models // Physical review. A, Atomic, molecular, and optical physics, 92 (2015), 1; 012306, 9. doi: 10.1103/PhysRevA.92.012306

Podaci o odgovornosti

Giampaolo, S. M. ; Hiesmayr, B. C.

engleski

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

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.

nematic order

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Podaci o izdanju

92 (1)

2015.

012306

9

objavljeno

1050-2947

1094-1622

10.1103/PhysRevA.92.012306

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Fizika

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