Instituto de Física Fundamental IFF-CSIC, Calle Serrano 113b, Madrid E-28006, Spain and Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany.
Instituto de Física Fundamental IFF-CSIC, Calle Serrano 113b, Madrid E-28006, Spain and Facultad de Matemáticas, Universidad Complutense de Madrid, Avenida Complutense s/n, Madrid E-28040, Spain.
Phys Rev Lett. 2013 Dec 6;111(23):230404. doi: 10.1103/PhysRevLett.111.230404.
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.
我们推导出了在通过玻色晶格场相互作用的自旋模型中自旋相关性传播的李-罗宾逊界限，在没有自旋-玻色子耦合的情况下，该模型满足李-罗宾逊界限。我们将这些界限应用于囚禁离子系统，并发现通过离子晶体的声子介导的自旋相关性的传播速度可以超过当前实验探索的范围。我们提出了一种通过晶体荧光测量延迟相关函数来测试这些界限的方案。
