title: Experimental linear-optics simulation of multipartite non-locality in the ground state of a quantum Ising ring.
abstract: Critical phenomena involve structural changes in the correlations of its constituents. Such changes can be reproduced and characterized in quantum simulators able to tackle medium-to-large-size systems. We demonstrate these concepts by engineering the ground state of a three-spin Ising ring by using a pair of entangled photons. The effect of a simulated magnetic field, leading to a critical modification of the correlations within the ring, is analysed by studying two- and three-spin entanglement. In particular, we connect the violation of a multipartite Bell inequality with the amount of tripartite entanglement in our ring.
authors.affiliation: Dipartimento di Fisica, Sapienza Università di Roma, Piazzale Aldo Moro, 5, I-00185 Roma, Italy.
authors.forename: Adeline
authors.initials: A
authors.lastname: Orieux
authors.affiliation: Dipartimento di Fisica, Sapienza Università di Roma, Piazzale Aldo Moro, 5, I-00185 Roma, Italy.
authors.forename: Joelle
authors.initials: J
authors.lastname: Boutari
authors.affiliation: Clarendon Laboratory, University of Oxford, Parks Road, Oxford, OX1 3PU, United Kingdom.
authors.forename: Marco
authors.initials: M
authors.lastname: Barbieri
authors.affiliation: Centre for Theoretical Atomic, Molecular and Optical Physics, School of Mathematics and Physics, Queen's University, Belfast BT7 1NN, United Kingdom.
authors.forename: Mauro
authors.initials: M
authors.lastname: Paternostro
authors.affiliation: 1] Dipartimento di Fisica, Sapienza Università di Roma, Piazzale Aldo Moro, 5, I-00185 Roma, Italy [2] Istituto Nazionale di Ottica, Consiglio Nazionale delle Ricerche (INO-CNR), Largo Enrico Fermi, 6, I-50125 Firenze, Italy.
authors.forename: Paolo
authors.initials: P
authors.lastname: Mataloni