01671nas a2200169 4500008004100000245011200041210006900153260000900222300001100231490000700242520102900249653002001278100002201298700002201320700002001342856013901362 2010 eng d00aIon-trap simulation of the quantum phase transition in an exactly solvable model of spins coupled to bosons0 aIontrap simulation of the quantum phase transition in an exactly c2010 a0521180 v813 aIt is known that arrays of trapped ions can be used to efficiently simulate a variety of many-body quantum systems. Here we show how it is possible to build a model representing a spin chain interacting with bosons that is exactly solvable. The exact spectrum of the model at zero temperature and the ground-state properties are studied. We show that a quantum phase transition occurs when the coupling between spins and bosons reaches a critical value, which corresponds to a level crossing in the energy spectrum. Once the critical point is reached, the number of bosonic excitations in the ground state, which can be assumed as an order parameter, starts to be different from zero. The population of the bosonic mode is accompanied by a macroscopic magnetization of the spins. This double effect could represent a useful resource for phase transition detection since a measure of the phonon can give information about the phase of the spin system. A finite-temperature phase diagram is also given in the adiabatic regime.10aQuantum Physics1 aGiorgi, Gian Luca1 aPaganelli, Simone1 aGalve, Fernando uhttp://grupsderecerca.uab.cat/giq/publications/ion-trap-simulation-quantum-phase-transition-exactly-solvable-model-spins-coupled-boson