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We show that spin correlations of atoms in an optical lattice can be reconstructed by coupling the system to the light, and by measuring correlations between the emitted photons. This principle is the basis for a method to characterize states in[...]texto impreso
A system of trapped ions under the action of off-resonant standing waves can be used to simulate a variety of quantum spin models. In this work, we describe theoretically quantum phases that can be observed in the simplest realization of this id[...]texto impreso
We introduce a simple setup corresponding to the matter-wave analogue of impurity atoms embedded in a photonic crystal and interacting with the radiation field. Atoms in a given internal level are trapped in an optical lattice, and play the role[...]texto impreso
We show that a large number of ions forming a 2D Coulomb crystal provides an almost ideal system for scalable quantum computation and quantum simulation. In particular, the coupling of the internal states to the motion of the ions transverse to [...]texto impreso
The vibrations of a chain of trapped ions can be considered, under suitable experimental conditions, as an ensemble of interacting phonons, whose quantum dynamics is governed by a Bose-Hubbard Hamiltonian. In this work we study the quantum phase[...]texto impreso
Muschik, Christine A. ; Vega, Inés de ; Porras Torres, Diego ; Cirac, J. Ignacio | American Physical Society | 2008-02-15The mapping of photonic states to collective excitations of atomic ensembles is a powerful tool which finds a useful application in the realization of quantum memories and quantum repeaters. In this work we show that cold atoms in optical lattic[...]texto impreso
We present an algorithm for the calculation of eigenstates with definite linear momentum in quantum lattices. Our method is related to the density matrix renormalization group, and makes use of the distribution of multipartite entanglement to bu[...]texto impreso
Cirac, J. Ignacio ; Michalakis, Spyridon ; Pérez García, David ; Schuch, Norbert | American Physical Society | 2013-09-06We analyze a criterion which guarantees that the ground states of certain many-body systems are stable under perturbations. Specifically, we consider PEPS, which are believed to provide an efficient description, based on local tensors, for the l[...]texto impreso
We show that transverse phonons in a set of trapped ions under the action of lasers are described by a Bose-Hubbard model whose parameters can be externally adjusted. The hopping of the phonons between different phonons is provided by the Coulom[...]texto impreso
Poilblanc, Didier ; Schuch, Norbert ; Pérez García, David ; Cirac, J. Ignacio | American Physical Society | 2012-07-06We examine in details the connections between topological and entanglement properties of short-range resonating valence bond (RVB) wave functions using projected entangled pair states (PEPS) on kagome and square lattices on (quasi)infinite cylin[...]
