PIRSA:12110082 Scientific Series Condensed Matter

DOI10.48660/12110082

Series: Quantum Matter

Swingle, B. (2012). Entanglement and the Fermi surface. Perimeter Institute. https://pirsa.org/12110082

Swingle, Brian. Entanglement and the Fermi surface. Perimeter Institute, Nov. 27, 2012, https://pirsa.org/12110082 

@misc{ pirsa_PIRSA:12110082,
  doi = {10.48660/12110082},
  url = {https://pirsa.org/12110082},
  author = {Swingle, Brian},
  keywords = {Condensed Matter},
  language = {en},
  title = {Entanglement and the Fermi surface},
  publisher = {Perimeter Institute},
  year = {2012},
  month = {nov},
  note = {PIRSA:12110082 see, \url{https://pirsa.org}}
}

Abstract

In this talk I will describe my work characterizing quantum entanglement in systems with a Fermi surface.  This class includes everything from Fermi liquids to exotic spin liquids in frustrated magnets and perhaps even holographic systems.  I review my original scaling argument and then describe in detail a number of new precise results on entanglement in Fermi liquids.  I will also discuss recent quantum Monte Carlo calculations of Renyi entropies and will argue that we now have a rather complete agreement between theory and numerics for Fermi liquid entanglement.  I will also discuss universal crossovers between thermal and entanglement entropy and a class of solvable interacting models where we can prove the universality of the Widom formula for Fermi surface entanglement.  If there is time, I will comment on several other topics including fluctuations of conserved quantities and connections to holography.

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