Universal Diffusion and the Butterfly Effect

APA

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

MLA

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

BibTex

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

Michael Blake Massachusetts Institute of Technology (MIT)

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.