Theory Seminar: Typical entropy of a subsystem: Page curve and its variance

Eugenio Bianchi (Institute for Gravitation and the Cosmos (IGC), Pennsylvania State University)
In a quantum system in a pure state, a subsystem generally has a non-zero entropy because of entanglement with the rest of the system

Eugenio Bianchi (Institute for Gravitation and the Cosmos (IGC), Pennsylvania State University)
Herbert-Walther Lecture Hall G0.25
Wed 22. May 2019, 11:30 am (please note the poster distribution session starting at 10:45)

Abstract:

In a quantum system in a pure state, a subsystem generally has a non-zero entropy because of entanglement with the rest of the system. Is the average entanglement entropy of pure states also the typical entropy of the subsystem? In this seminar, I address the question of typicality of the entanglement entropy in energy eigenspaces and present the Page curve for two model systems: (i) non-interacting spins in a magnetic field and (ii) black body radiation.