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- W1531502562 abstract "I compute the leading contribution to the ground state Renyi entropy $S_{alpha}$ 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." @default.
- W1531502562 created "2016-06-24" @default.
- W1531502562 creator A5087486799 @default.
- W1531502562 date "2012-07-12" @default.
- W1531502562 modified "2023-10-16" @default.
- W1531502562 title "Rényi entropy, mutual information, and fluctuation properties of Fermi liquids" @default.
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- W1531502562 doi "https://doi.org/10.1103/physrevb.86.045109" @default.
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