Kliesch, MartinMartinKlieschGogolin, ChristianChristianGogolinEisert, JensJensEisert2022-11-282022-11-282014-07-02In: Bach, V., Delle Site, L. (eds) Many-Electron Approaches in Physics, Chemistry and Mathematics. Mathematical Physics Studies. Springer, Cham. (2014-07-02)http://hdl.handle.net/11420/14165This 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.enQuantum PhysicsQuantum PhysicsPhysics - Strongly Correlated ElectronsMathematical PhysicsMathematics - Mathematical Physics81-01Book Part10.1007/978-3-319-06379-9_171306.0716v2Other