  Here we discuss optimization of mixing in finite linear and circular
Rudner-Levitov lattices, i.e., Su-Schrieffer-Heeger lattices with a dissipative
sublattice. We show that presence of exceptional points in the systems spectra
can lead to drastically different scaling of the mixing time with the number of
lattice nodes, varying from quadratic to the logarithmic one. When operating in
the region between the maximal and minimal exceptional points, it is always
possible to restore the logarithmic scaling by choosing the initial state of
the chain. Moreover, for the same localized initial state and values of
parameters, a longer lattice might mix much faster than the shorter one. Also
we demonstrate that an asymmetric circular Rudner-Levitov lattice can preserve
logarithmic scaling of the mixing time for an arbitrary large number of lattice
nodes.
