Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems
Bruno Nachtergaele, Hillel Raz, Benjamin Schlein, Robert Sims
TL;DR
This paper establishes Lieb-Robinson bounds for quantum lattice systems with infinite-dimensional spaces, including harmonic and some anharmonic models, providing insights into the speed of information propagation.
Contribution
It extends Lieb-Robinson bounds to unbounded Hamiltonians in infinite-dimensional lattice systems, covering harmonic and specific anharmonic cases.
Findings
Lieb-Robinson bounds are proven for harmonic lattice systems.
Bounds are extended to certain anharmonic lattice systems.
Results provide limits on information propagation speed in these quantum systems.
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.
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