TY - JOUR T1 - The Lieb-Robinson light cone for power-law interactions Y1 - 2021 A1 - Minh C. Tran A1 - Andrew Y. Guo A1 - Christopher L. Baldwin A1 - Adam Ehrenberg A1 - Alexey V. Gorshkov A1 - Andrew Lucas AB -

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 1/rα at distance r? Here, we present a definitive answer to this question for all exponents α>2d and all spatial dimensions d. Schematically, information takes time at least rmin{1,α−2d} to propagate a distance~r. 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.

UR - https://arxiv.org/abs/2103.15828 ER -