Lieb-Robinson Bounds for Spin-Boson Lattice Models and Trapped Ions

J. Jünemann, A. Cadarso, D. Pérez-García, A. Bermudez, and J. J. García-Ripoll
Phys. Rev. Lett. 111, 230404 – Published 6 December 2013
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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.

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  • Received 23 July 2013

DOI:https://doi.org/10.1103/PhysRevLett.111.230404

© 2013 American Physical Society

Authors & Affiliations

J. Jünemann1,2, A. Cadarso1,3, D. Pérez-García3, A. Bermudez1, and J. J. García-Ripoll1

  • 1Instituto de Física Fundamental IFF-CSIC, Calle Serrano 113b, Madrid E-28006, Spain
  • 2Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany
  • 3Facultad de Matemáticas, Universidad Complutense de Madrid, Avenida Complutense s/n, Madrid E-28040, Spain

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Issue

Vol. 111, Iss. 23 — 6 December 2013

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