Talk: Tripartite information as a measure of scrambling

  • Date: Dec 8, 2017
  • Time: 14:00 - 15:00
  • Speaker: Oskar Schnaack
  • University of Göttingen
  • Location: Max-Planck-Institut für Dynamik und Selbstorganisation (MPIDS)
  • Room: 2.107
  • Host: MPIDS
  • Contact:
Scrambling, the delocalization of information under unitary quantum dynamics, is understood to be a distinct feature of quantum chaos. So far the focus has been on out-of-time-order correlators to analyze this behavior. I use a different approach and study the negative tripartite information in spin-1/2 chains, which was proposed by Hosur et al.
[1] as an information theoretical measure of scrambling. In my talk I will focus on results I obtained for a Hamiltonian that can be mapped to free fermions and a generic model where chaotic behavior is expected. I will introduce a symmetry-adapted Haar scrambling limit to explain the asymptotic behavior as well as the values of scrambling we find.

[1] Pavan Hosur, Xiao-Liang Qi, Daniel A. Roberts, and Beni Yoshida.
Chaos in quantum
channels. JHEP, 02:004, 2016. doi: 10.1007/JHEP02(2016)004.
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