Lieb-Robinson bounds and the simulation of time evolution of local observables in lattice systems
arXiv:1306.0716 · doi:10.1007/978-3-319-06379-9_17
Abstract
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.
13 pages, 2 figures; book chapter
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