PIRSA:16080041

Universal Diffusion and the Butterfly Effect

Blake, M. (2016). Universal Diffusion and the Butterfly Effect. Perimeter Institute. https://pirsa.org/16080041

Blake, Michael. Universal Diffusion and the Butterfly Effect. Perimeter Institute, Aug. 23, 2016, https://pirsa.org/16080041 

          @misc{ pirsa_PIRSA:16080041,
            doi = {10.48660/16080041},
            url = {https://pirsa.org/16080041},
            author = {Blake, Michael},
            keywords = {Condensed Matter, Quantum Fields and Strings},
            language = {en},
            title = {Universal Diffusion and the Butterfly Effect},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {aug},
            note = {PIRSA:16080041 see, \url{https://pirsa.org}}
          }

Michael Blake

Massachusetts Institute of Technology (MIT)

Talk number
PIRSA:16080041
Collection
Talk Type
Subject
Abstract
In 2014 Hartnoll proposed that the diffusion constants of incoherent metals should be bounded as $ D \geq \hbar v^2/ (k_B T)$, where v is a characteristic velocity. In this talk I will describe a large class of holographic theories that saturate such a bound, with $v$ being the velocity of the butterfly effect. Our results suggest a novel connection between transport at strong coupling and the field of quantum chaos.