Lieb-Robinson bounds for open quantum systems with long-ranged interactions
Quantum Physics
2019-10-08 v1 Statistical Mechanics
Strongly Correlated Electrons
Abstract
We state and prove four types of Lieb-Robinson bounds valid for many-body open quantum systems with power law decaying interactions undergoing out of equilibrium dynamics. We also provide an introductory and self-contained discussion of the setting and tools necessary to prove these results. The results found here apply to physical systems in which both long-ranged interactions and dissipation are present, as commonly encountered in certain quantum simulators, such as Rydberg systems or Coulomb crystals formed by ions.
Cite
@article{arxiv.1906.00791,
title = {Lieb-Robinson bounds for open quantum systems with long-ranged interactions},
author = {Ryan Sweke and Jens Eisert and Michael Kastner},
journal= {arXiv preprint arXiv:1906.00791},
year = {2019}
}