Rule 54 reversible cellular automaton (RCA54) is a 1-dim lattice model of solitons that move with fixed velocities and undergo nontrivial scattering. In the past years, numerous exact results have been found, ranging from the exact non-equilibrium steady state and exact large deviation treatment of the boundary driven setup to the matrix product form of time evolution of local observables. In the talk I will discuss recent progress. In particular I will present the matrix product form of multi-time correlation functions (arXiv:1912.09742) and the formulation of space-like evolution of such time-states (arXiv:2004.01671).

* Katja Klobas, FMF, Ljubljana

The seminar will be online at https://zoom.us/j/483251248

Meeting ID: 483 251 248