Lieb-Robinson bounds for commutator-bounded operators

TL;DR

This paper extends the Lieb-Robinson bounds to a broader class of quantum systems where the Hamiltonian consists of local operators with bounded commutators, providing new insights into the speed of information propagation.

Contribution

The authors generalize the Lieb-Robinson theorem to include systems with Hamiltonians composed of local operators with bounded commutators, broadening its applicability.

Findings

Established Lieb-Robinson bounds for commutator-bounded operators

Demonstrated implications for quantum information propagation

Extended theoretical framework for local quantum systems

Abstract

We generalize the Lieb-Robinson theorem to systems whose Hamiltonian is the sum of local operators whose commutators are bounded.