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

Sweke R, Eisert J, Kastner M (2019)

Publication Type: Journal article

Publication year: 2019

Journal

Journal of Physics A: Mathematical and Theoretical Institute of Physics Publishing (IOP)

Book Volume: 52

Article Number: 424003

Journal Issue: 42

DOI: 10.1088/1751-8121/ab3f4a

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.

Involved external institutions

Freie Universität Berlin DE Germany (DE) National Institute for Theoretical Physics (NITheP) ZA South Africa (ZA)

How to cite

APA:

Sweke, R., Eisert, J., & Kastner, M. (2019). Lieb-Robinson bounds for open quantum systems with long-ranged interactions. Journal of Physics A: Mathematical and Theoretical, 52(42). https://doi.org/10.1088/1751-8121/ab3f4a

MLA:

Sweke, Ryan, Jens Eisert, and Michael Kastner. "Lieb-Robinson bounds for open quantum systems with long-ranged interactions." Journal of Physics A: Mathematical and Theoretical 52.42 (2019).

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