English

The Thirring quantum cellular automaton

Quantum Physics 2018-04-04 v1 Strongly Correlated Electrons

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.

Keywords

Cite

@article{arxiv.1711.03920,
  title  = {The Thirring quantum cellular automaton},
  author = {A. Bisio and G. M. D'Ariano and P. Perinotti and A. Tosini},
  journal= {arXiv preprint arXiv:1711.03920},
  year   = {2018}
}

Comments

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

R2 v1 2026-06-22T22:42:24.606Z