The Thirring quantum cellular automaton

Abstract

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.

4 pages+references, Revtex style, 2 figures, supplemental material included as appendix

References in corpus (4)

• Universal computation by quantum walk
• Symmetries and noise in quantum walk
• Unifying variational methods for simulating quantum many-body systems
• Nonlinear optical Galton board

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