TY - JOUR T1 - Entanglement area laws for long-range interacting systems JF - Physical Review Letters Y1 - 2017 A1 - Zhe-Xuan Gong A1 - Michael Foss-Feig A1 - Fernando G. S. L. Brandão A1 - Alexey V. Gorshkov AB -

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 > D + 1. We also prove that for any α > 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.

VL - 119 U4 - 050501 UR - https://arxiv.org/abs/1702.05368 CP - 5 U5 - 10.1103/PhysRevLett.119.050501 ER -