# Entanglement entropy of free fermions

Wolfgang Spitzer
(FernUniversität in Hagen)
Analyseseminar
Torsdag, 23 februar, 2017, at 16:15-17:00, in Aud. D3 (1531-215)
Abstrakt:
We present the first rigorous results for the leading asymptotic large-scale behavior of the spatially
bipartite entanglement entropy (EE) of free fermions in thermal equilibrium at temperature $T>0$.
It is given by a rather complicated integral derived from a semiclassical trace formula for a certain
operator on the underlying one-particle Hilbert space. But in the zero-temperature limit $T\downarrow0$,
this thermal EE simplifies considerably and displays a $\ln(1/T)$-singularity which one may identify with
the known logarithmic enhancement at $T=0$ of the so-called area-law scaling. This is joint work with
Hajo Leschke and Alexander V. Sobolev.
Kontaktperson: Erik Skibsted