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arXiv · 1906.00791

Lieb-Robinson bounds for open quantum systems with long-ranged interactions

Ryan Sweke·Jens Eisert·Michael Kastner
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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.

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Ryan Sweke, Jens Eisert, Michael Kastner. 2019-06-03. Lieb-Robinson bounds for open quantum systems with long-ranged interactions. https://doi.org/10.1088/1751-8121%2Fab3f4a

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