



@article {2001,
	title = {{E}ntanglement area laws for long-range interacting systems},
	journal = {Physical Review Letters},
	volume = {119},
	year = {2017},
	month = {2017/07/31},
	pages = {050501},
	abstract = {<p>We prove that the entanglement entropy of any state evolved under an arbitrary 1/rα long-range-interacting D-dimensional lattice spin Hamiltonian cannot change faster than a rate proportional to the boundary area for any α \&gt; D + 1. We also prove that for any α \&gt; 2D + 2, the ground state of such a Hamiltonian satisfies the entanglement area law if it can be transformed along a gapped adiabatic path into a ground state known to satisfy the area law. These results significantly generalize their existing counterparts for short-range interacting systems, and are useful for identifying dynamical phase transitions and quantum phase transitions in the presence of long-range interactions.</p>},
	doi = {10.1103/PhysRevLett.119.050501},
	url = {https://arxiv.org/abs/1702.05368},
	author = {Zhe-Xuan Gong and Michael Foss-Feig and Fernando G. S. L. Brand{\~a}o and Alexey V. Gorshkov}
}
