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Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems

arXiv:0712.3820 · doi:10.1007/s00220-008-0630-2

Abstract

We prove Lieb-Robinson bounds for the dynamics of systems with an infinite dimensional Hilbert space and generated by unbounded Hamiltonians. In particular, we consider quantum harmonic and certain anharmonic lattice systems.