Topological Phases of Matter Program Seminar: Michael Stone, University of Illinois

Michael Stone, University of Illinois

Title: An Analogue of Hawking Radiation in the Quantum Hall Effect
Speaker: Michael Stone, University of Illinois
Date: Thursday, May 30, 2013
Time: 1:30pm – 2:30pm
Place: Seminar Room 313, Simons Center

 

 

 
[box, type=”download”]Listen to the lecture.
View the Slides.[/box]

Abstract We use the identification of the edge mode of a quantum Hall system with a 1+1 dimensional chiral Dirac fermion to construct an analogue model for fermions in a space-time geometry possessing an event horizon. By solving the model in the lowest Landau level, we show that the event horizon emits particles and holes with a thermal spectrum. Each emitted quasiparticle is correlated with an opposite-energy partner on the other side of the event horizon. Once we trace out these “unobservable” partners, we are left with a thermal density matrix.