# Lieb Robinson bounds and out of time order correlators in a long range spin chain

@article{Colmenarez2020LiebRB, title={Lieb Robinson bounds and out of time order correlators in a long range spin chain}, author={Luis Colmenarez and David J. Luitz}, journal={arXiv: Strongly Correlated Electrons}, year={2020} }

Lieb Robinson bounds quantify the maximal speed of information spreading in nonrelativistic quantum systems. We discuss the relation of Lieb Robinson bounds to out of time order correlators, which correspond to different norms of commutators $C(r,t) = [A_i(t),B_{i+r}]$ of local operators. Using an exact Krylov space time evolution technique, we calculate these two different norms of such commutators for the spin 1/2 Heisenberg chain with interactions decaying as a power law $1/r^\alpha$ with… CONTINUE READING

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