Colin Rylands — SISSA #
Nonequilibrium full counting statistics in integrable models  #
 A measurement process in quantum mechanics produces a distribution of possible outcomes. This distribution, or its Fourier transform known as the full counting statistics (FCS), contains much more information than say the mean value of the measured observable, and accessing it is sometimes the only way to obtain relevant information about the system. For integrable models, a particularly important set of observables are its conserved charges which, when restricted to a subsystem display nontrivial dynamics. In this talk I will discuss the FCS of such observables in integrable models quenched from integrable initial states. Using a method called space-time duality, I will show how it is possible to determine the early time behavior of the FCS and combine it with a quasiparticle picture to obtain the full-time dynamics. I will then use these results to determine a simple universal relation between the initial time and late time cumulants of the charges.