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Lieb-Robinson bounds for spin-boson lattice models and trapped ions

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Junemann, J. and Cadarso, A. and Pérez García, David and Bermúdez, A. and García Ripoll, Juan José (2013) Lieb-Robinson bounds for spin-boson lattice models and trapped ions. Physical review letters, 111 (23). ISSN 0031-9007

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Official URL: http://journals.aps.org/prl/pdf/10.1103/PhysRevLett.111.230404




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 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.


Item Type:Article
Uncontrolled Keywords:Quantum simulation; Systems
Subjects:Sciences > Mathematics > Mathematical analysis
ID Code:24694
Deposited On:17 Mar 2014 10:11
Last Modified:09 Dec 2014 08:43

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