PIRSA:21110001

The onset of quantum chaos in disordered systems

APA

Sharon, A. (2021). The onset of quantum chaos in disordered systems. Perimeter Institute. https://pirsa.org/21110001

MLA

Sharon, Adar. The onset of quantum chaos in disordered systems. Perimeter Institute, Nov. 02, 2021, https://pirsa.org/21110001

BibTex

          @misc{ pirsa_21110001,
            doi = {},
            url = {https://pirsa.org/21110001},
            author = {Sharon, Adar},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {The onset of quantum chaos in disordered systems},
            publisher = {Perimeter Institute},
            year = {2021},
            month = {nov},
            note = {PIRSA:21110001 see, \url{https://pirsa.org}}
          }
          

Abstract

We study the Lyapunov exponent in disordered quantum field theories. Generically the Lyapunov exponent can only be computed in isolated CFTs, and little is known about the way in which chaos grows as we deform the theory away from weak coupling. In this talk we describe families of theories in which the disorder coupling is an exactly marginal deformation, allowing us to follow the Lyapunov exponent from weak to strong coupling. We find surprising behaviors in some cases, including a discontinuous transition into chaos. We also describe a new method allowing for computations in nontrivial CFTs deformed by disorder at leading order in 1/N.