Rényi entropy, mutual information, and fluctuation properties of Fermi liquids
Name
Swingle-2012- mutual information, and fluctuation properties of Fermi liquids.pdf
Size
314.18 KB
Format
Adobe PDF
Checksum (MD5)
e7886d5b021dc2a8b97d974061313592
Author(s)
Swingle, Brian Gordon
Date Issued
July 2012
Journal
Physical Review B
Publisher
American Physical Society
Citation
Swingle, Brian. “Rényi Entropy, Mutual Information, and Fluctuation Properties of Fermi Liquids.” Physical Review B 86.4 (2012). ©2012 American Physical Society
Version
Final published version
Abstract
We compute the leading contribution to the ground-state Rényi entropy S[subscript α] for a region of linear size L in a Fermi liquid in d dimensions. The result contains a universal boundary law violating term simply related to the more familiar entanglement entropy. We also obtain a universal crossover function that smoothly interpolates between the zero-temperature result and the ordinary thermal Rényi entropy of a Fermi liquid. Formulas for the entanglement entropy of more complicated regions, including nonconvex 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. We 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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevB.86.045109
