Title | The Lieb-Robinson light cone for power-law interactions |
Publication Type | Journal Article |
Year of Publication | 2021 |
Authors | Tran, MC, Guo, AY, Baldwin, CL, Ehrenberg, A, Gorshkov, AV, Lucas, A |
Date Published | 3/29/2021 |
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 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. |
URL | https://arxiv.org/abs/2103.15828 |