



@article {2920,
	title = {Clustering of steady-state correlations in open systems with long-range interactions},
	year = {2021},
	month = {10/28/2021},
	abstract = {<p>Lieb-Robinson bounds are powerful analytical tools for constraining the dynamic and static properties of non-relativistic quantum systems. Recently, a complete picture for closed systems that evolve unitarily in time has been achieved. In experimental systems, however, interactions with the environment cannot generally be ignored, and the extension of Lieb-Robinson bounds to dissipative systems which evolve non-unitarily in time remains an open challenge. In this work, we prove two Lieb-Robinson bounds that constrain the dynamics of open quantum systems with long-range interactions that decay as a power-law in the distance between particles. Using a combination of these Lieb-Robinson bounds and mixing bounds which arise from \&quot;reversibility\&quot; -- naturally satisfied for thermal environments -- we prove the clustering of correlations in the steady states of open quantum systems with long-range interactions. Our work provides an initial step towards constraining the steady-state entanglement structure for a broad class of experimental platforms, and we highlight several open directions regarding the application of Lieb-Robinson bounds to dissipative systems.</p>},
	url = {https://arxiv.org/abs/2110.15368},
	author = {Andrew Y. Guo and Simon Lieu and Minh C. Tran and Alexey V. Gorshkov}
}
