Time: 14:00pm, Jan. 3 (Thur.), 2019

Venue: Kavli ITS Meeting Room, Rm. S401, UCAS Teaching Building [View Map]

Speaker: Tianci Zhou (Kavli ITP, UCSB)

Abstract:

We systematically study the dynamics of quantum entanglement in a random unitary circuit, which is a minimal model of chaotic systems with local interactions. The problem maps to the statistical mechanics of interacting domain walls, where entanglement is the free energy. We find that the linear growth of R\'enyi entropies in a global quench is determined by the line tension of the domain wall, and their fluctuation obeys the universal Kadar-Parisi-Zhang scaling due the replica interaction. This picture allows us to understand the behaviors of entanglement in systems at the strongly chaotic limit.