On the fast scrambling conjecture

          @misc{ scivideos_PIRSA:11060051,
            doi = {10.48660/11060051},
            url = {https://pirsa.org/11060051},
            author = {Hayden, Patrick},
            keywords = {Cosmology},
            language = {en},
            title = {On the fast scrambling conjecture},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2011},
            month = {jun},
            note = {PIRSA:11060051 see, \url{https://scivideos.org/index.php/pirsa/11060051}}
          }
          

Abstract

Motivated by the consistency of black hole complementarity, Sekino and Susskind have conjectured that no physical system can "scramble" its internal degrees of freedom in time faster than (1/T) log S, where T is temperature and S the system's entropy. By considering a number of toy examples and general Lieb-Robinson-type causality bounds, I'll explore the range of validity of the conjecture. Some of these examples suggest that nonlocal Hamiltonians can delocalize information at rates exceeding the fast scrambling bound, but the physical relevance of these examples is unclear. Joint work with Nima Lashkari and Douglas Stanford.