Locality or non-locality? Fermionic entanglement on the torus
PIRSA ID:
19080086
Series:
Quantum Fields & String Seminars
Event Type:
Seminar
Scientific Area(s):
Quantum Fields and Strings
End date:
Speaker(s):
- Ignacio Reyes, Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
Understanding entanglement in QFTs is a challenging topic that involves many aspects. One important probe for this is the modular (or entanglement) Hamiltonian, which is closely related to the Unruh effect. We determine this operator for the chiral fermion at finite temperature on the circle using complex analysis, 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 also derive the first exact results for the entanglement and relative entropies of this system for the different spin sectors. Based on [1905.05768,1906.02207].