Physics of the 1D long range Ising model in a transverse field
Luca Tagliacozzo, ICFO Barcelone
Long range interacting systems can show different behaviour from their short range version. Recently experiments with trapped ions have started to investigate them. I will charaterize the ground state and low energy excitations of the long range Ising model in a transverse field, the simplest interacting long range model in 1D. In particular I will focus on the complexity of the ground state wave function in terms of entanglement measure and more traditional spin correlations. I will also present some results about the violation of causality when the long range interactions decay slowly enough with the distance. I will also briefly review the experiments with trapped ions that have confirmed our predictions.