2010/07/27 by Brian Swingle · 1 citation
Physics and Astronomy · #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1103/physrevb.86.045109
published as Phys. Rev. B 86, 045109 (2012) · 9 pages, 3 big figures
arxiv created 2010/07/27 · arxiv updated 2012/10/03
I compute the leading contribution to the ground state Renyi entropy Sα for a region of linear size L in a Fermi liquid. The result contains a universal boundary law violating term simply related the more familiar entanglement entropy. I also obtain a universal crossover function that smoothly interpolates between the zero temperature result and the ordinary thermal Renyi entropy of a Fermi liquid. Formulas for the entanglement entropy of more complicated regions, including non-convex and disconnected regions, are obtained from the conformal field theory formulation of Fermi surface dynamics. These results permit an evaluation of the quantum mutual information between different regions in a Fermi liquid. I also study the number fluctuations in a Fermi liquid. Taken together, these results give a reasonably complete characterization of the low energy quantum information content of Fermi liquids.