Connections between many-body chaos and ergodicity form the basis of statistical mechanics. Starting with an overview of recent interests in this area, I shall discuss our numerical results characterising spatio-temporal signatures of chaos in spin systems and point out their possible quantitative connection to measures of transport such as diffusion coefficients. I shall discuss how the physics of frustration in classical spin systems help retain the signatures of chaos even at low temperatures.

References :

[1] Light-cone spreading of perturbations and the butterfly effect in a classical spin chain, Avijit Das, Saurish Chakrabarty, Abhishek Dhar, Anupam Kundu, David A. Huse, Roderich Moessner, Samriddhi Sankar Ray, Subhro Bhattacharjee, Physical Review Letters 121, 024101 (2018)

[2] Temperature dependence of butterfly effect in a classical many-body system , Thomas Bilitewski, Subhro Bhattacharjee, Roderich Moessner, arXiv: 1808.02054