Many body seminar: Equilibration of non-integrable systems and correlation functions

Alvaro Alhambra (MPQ)
I will describe some upcoming results (mostly numerical, with ED) on the relaxation timescales of many-body systems

Alvaro Alhambra (MPQ)
Group seminar (hybrid format: online/seminar room B2.46)
Thu, 18 November 2021, 11:00 am (MEZ)

*Abstract:*

I will describe some upcoming results (mostly numerical, with ED) on the relaxation timescales of many-body systems. More precisely, we investigate early-time equilibration rates of observables in closed many-body quantum systems and compare them to those of two correlation functions, first introduced by Kubo and Srednicki. We explore whether these different rates coincide at a universal value that sets the timescales of processes at a finite energy density. We find evidence for this coincidence when the initial conditions are sufficiently generic, or ``typical'', which we quantify with different figures of merit. We confirm our findings by showing that these different timescales coincide for dynamics generated by Haar-random Hamiltonians. This also allows us to quantitatively understand the scope of previous theoretical results on equilibration timescales and on random matrix formalism.

We meet at 11h in the Theory seminar room starting with an informal
discussion, the talk begins at 11:20. Please don't forget to do a corona self test before.