This is an introductory text reviewing Lieb-Robinson bounds for open and closed quantum many-body systems. We introduce the Heisenberg picture for time-dependent local Liouvillians and state a Lieb-Robinson bound that gives rise to a maximum speed of propagation of correlations in many body systems of locally interacting spins and fermions. Finally, we discuss a number of important consequences concerning the simulation of time evolution and properties of ground states and stationary states.
CITATION STYLE
Kliesch, M., Gogolin, C., & Eisert, J. (2014). Lieb-Robinson Bounds and the Simulation of Time-Evolution of Local Observables in Lattice Systems. In Mathematical Physics Studies (Vol. Part F1112, pp. 301–318). Springer. https://doi.org/10.1007/978-3-319-06379-9_17
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