2019/11/04 by Mao Tian Tan, Shinsei Ryu · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Bosonization #Entropy (arrow of time) #Fermi Gamma-ray Space Telescope #Fermi gas #Fermi surface #Fermion #Logarithm #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum #Quantum Information and Cryptography #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Statistical physics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.101.235169
published as Phys. Rev. B 101, 235169 (2020) · 6 pages, 1 figure
arxiv created 2019/11/04 · openalex created_date 2019/11/22 · openalex publication_date 2020/06/29 · arxiv updated 2020/07/02 · openalex updated_date 2026/08/05
We revisit the computation of particle number fluctuations and the R'enyi entanglement entropy of a two-dimensional Fermi gas using multidimensional bosonization. In particular, we compute these quantities for a circular Fermi surface and a circular entangling surface. Both quantities display a logarithmic violation of the area law, and the R'enyi entropy agrees with the Widom conjecture. Lastly, we compute the symmetry-resolved entanglement entropy for the two-dimensional circular Fermi surface and find that, while the total entanglement entropy scales as RlnR, the symmetry-resolved entanglement scales as √(RlnR), where R is the radius of the subregion of our interest.