2013/06/30 by Hsin-Hua Lai, Kun Yang, N. E. Bonesteel · 1 citation
Physics and Astronomy · #quant-ph #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.111.210402
published as Phys. Rev. Lett. 111, 210402 (2013) · 4.5 pages, 4 figures. Accepted version in Physical Review Letter
arxiv created 2013/10/30 · arxiv updated 2013/12/03
We show the violation of the entanglement-area law for bosonic systems with Bose surfaces. For bosonic systems with gapless factorized energy dispersions on a Nd Cartesian lattice in d-dimension, e.g., the exciton Bose liquid in two dimension, we explicitly show that a belt subsystem with width L preserving translational symmetry along d-1 Cartesian axes has leading entanglement entropy (Nd-1/3)ln L. Using this result, the strong subadditivity inequality, and lattice symmetries, we bound the entanglement entropy of a rectangular subsystem from below and above showing a logarithmic violation of the area law. For subsystems with a single flat boundary we also bound the entanglement entropy from below showing a logarithmic violation, and argue that the entanglement entropy of subsystems with arbitrary smooth boundaries are similarly bounded.