Dr. Brian Swingle

---

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 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 exhibit universal crossover functions
between thermal and entanglement entropy and a class of solvable interacting
models where I have proved the universality of the Widom formula
for Fermi surface entanglement. I will conclude by discussing some of the
lessons learned and by giving a glimpse of the wider world of many-body
entanglement.

---

Harvard University
Hörsaal III
Contact: not specified