# 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.

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