SP Seminar @SISSA Via Bonomea 265 - Tuesday 5 November at 11 a.m. - I. REYES

[CM Section]

Joint ICTP/SISSA Statistical Physics Seminar

Tuesday 5 November at 11:00 a.m.
venue: SISSA, Via Bonomea 265

Speaker: Ignacio REYES
Albert Einstein Institute, Postdam, Germany

Title: 'Entanglement of 2D Fermions on the Torus'

Abstract:
Concepts from quantum information theory have become increasingly
important in our understanding of entanglement in QFTs. One prominent
example of this is the entanglement (or modular) Hamiltonian. Using complex
analysis, we determine this operator for the chiral fermion at finite 
temperature
on the circle - which is not fixed by conformal symmetry - and show that it
exhibits surprising new features. This simple system illustrates how a 
modular
flow can transition from complete locality to complete non-locality as a 
function
of temperature, thus bridging the gap between previously known limits. We
derive the first exact results for the entanglement for the different 
spin sectors
on the torus.