The Lieb-Robinson light cone for power-law interactions
Quantum Physics
2021-10-20 v1 Quantum Gases
Abstract
The Lieb-Robinson theorem states that information propagates with a finite velocity in quantum systems on a lattice with nearest-neighbor interactions. What are the speed limits on information propagation in quantum systems with power-law interactions, which decay as at distance ? Here, we present a definitive answer to this question for all exponents and all spatial dimensions . Schematically, information takes time at least to propagate a distance~. As recent state transfer protocols saturate this bound, our work closes a decades-long hunt for optimal Lieb-Robinson bounds on quantum information dynamics with power-law interactions.
Cite
@article{arxiv.2103.15828,
title = {The Lieb-Robinson light cone for power-law interactions},
author = {Minh C. Tran and Andrew Y. Guo and Christopher L. Baldwin and Adam Ehrenberg and Alexey V. Gorshkov and Andrew Lucas},
journal= {arXiv preprint arXiv:2103.15828},
year = {2021}
}