6533b7cffe1ef96bd1259929
RESEARCH PRODUCT
n-cluster models in a transverse magnetic field
Salvatore Marco GiampaoloG. Zonzosubject
Statistics and ProbabilityQuantum phase transitionPhysicsQuantum PhysicsStatistical Mechanics (cond-mat.stat-mech)SpinsFOS: Physical sciencesStatistical and Nonlinear PhysicsQuantum entanglementCondensed Matter Physics01 natural sciences010305 fluids & plasmasMagnetic fieldParamagnetismQuantum mechanics0103 physical sciencesCluster (physics)quantum complex systemsStatistics Probability and UncertaintyQuantum informationQuantum Physics (quant-ph)010306 general physicsCondensed Matter - Statistical MechanicsSpin-½description
In this paper we analize a family of one dimensional fully analytically solvable models, named the n-cluster models in a transverse magnetic field, in which a many-body cluster interaction competes with a uniform transverse magnetic field. These models, independently by the cluster size n + 2, exibit a quantum phase transition, that separates a paramagnetic phase from a cluster one, that corresponds to a nematic ordered phase or a symmetry-protected topological ordered phase for even or odd n respectively. Due to the symmetries of the spin correlation functions, we prove that these models have no genuine n+2-partite entanglement. On the contrary, a non vanishing concurrence arises between spins at the endpoints of the cluster, for a magnetic field strong enough. Due to their analyticity and peculiar entanglement properties, the n-cluster models in a transverse magnetic field serve as a prototype for studying non trivial-spin orderings and as a potential reference system for the applications of quantum information tasks.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-09-18 |