A Yang-Baxter integrable cellular automaton with a four site update rule

Understand

We present a one dimensional reversible block cellular automaton, where the time evolution is dictated by a period 3 cycle of update rules.

• At each time step a subset of the cells is updated using a four site rule with two control bits and two action bits.
• The model displays rich dynamics.
• There are three types of stable particles, left movers, right movers and "frozen" bound states that only move as an effect of scattering with the left and right movers.