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Ion-trap simulation of the quantum phase transition in an exactly solvable model of spins coupled to bosons

AutorGiorgi, Gian Luca ; Paganelli, Simone; Galve, Fernando
Fecha de publicaciónmay-2010
EditorAmerican Physical Society
CitaciónPhysical Review - Section A - Atomic Molecular and Optical Physics 81(5): 052118.1-052118.6 (2010)
ResumenIt 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.
Descripción6 pages, 2 figures.
Versión del editorhttp://dx.doi.org/10.1103/PhysRevA.81.052118
Aparece en las colecciones: (IFISC) Artículos
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