Cumulant generating functions of a tracer in quenched dense symmetric exclusion processes

The Symmetric Exclusion Process (SEP), where particles hop on a 1D lattice with the restriction that there can only be one particle per site, is paradigmatic model of interacting systems. Recently, it has been shown nature initial conditions - annealed or quenched quantitative impact long-time properties tracer diffusion. However, so far, all studies in case focused low-density limit SEP. Here, we derive cumulant generating function position dense conditions. Importantly, our approach also allows us to consider nonequilibrium situations (i) biased SEP and (ii) symmetric step density. In former situation, show have striking impact, change very dependence cumulants bias.