# The Thirring quantum cellular automaton. (arXiv:1711.03920v1 [quant-ph])

We analytically diagonalize a discrete-time on-site interacting fermionic
cellular automaton in the two-particle sector. Important features of the
solutions sensibly differ from those of analogous Hamiltonian models. In
particular, we found a wider variety of scattering processes, we have bound
states for every value of the total momentum, and there exist bound states also
in the free case, where the coupling constant is null.