Lieb-Robinson bounds for spin-boson lattice models and trapped ions
Quantum Physics
2013-12-17 v2 Mesoscale and Nanoscale Physics
Quantum Gases
Mathematical Physics
math.MP
Abstract
We derive a Lieb-Robinson bound for the propagation of spin correlations in a model of spins interacting through a bosonic lattice field, which satisfies itself a Lieb-Robinson bound in the absence of spin-boson couplings. We apply these bounds to a system of trapped ions, and find that the propagation of spin correlations, as mediated by the phonons of the ion crystal, can be faster than the regimes currently explored in experiments. We propose a scheme to test the bounds by measuring retarded correlation functions via the crystal fluorescence.
Keywords
Cite
@article{arxiv.1307.1992,
title = {Lieb-Robinson bounds for spin-boson lattice models and trapped ions},
author = {J. Juenemann and A. Cadarso and D. Perez-Garcia and A. Bermudez and J. J. Garcia-Ripoll},
journal= {arXiv preprint arXiv:1307.1992},
year = {2013}
}