Entanglement and the Fermi surface


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_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}}

Brian Swingle University of Maryland, College Park

Talk Type Scientific Series


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.