Lieb–Robinson bounds for open quantum systems with long-ranged interactions. (24th September 2019)

• Record Type: Journal Article
• Authors: Sweke, Ryan; Eisert, Jens; Kastner, Michael
• Is Part Of: Journal of physics. Volume 52:Number 42(2019)
• Publication Date: 2019-09-24
• Subjects: open quantum systems -- Lieb–Robinson bounds -- Lindblad dynamics -- long-range interactions; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/ab3f4a
• Languages: English
• ISSNs: 1751-8113

Abstract

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.