• Corpus ID: 248863014

The Fredkin staircase: An integrable system with a finite-frequency Drude peak

@inproceedings{Singh2022TheFS,
  title={The Fredkin staircase: An integrable system with a finite-frequency Drude peak},
  author={Hansveer Singh and Romain Vasseur and Sarang Gopalakrishnan},
  year={2022}
}
We introduce and explore an interacting integrable cellular automaton, the Fredkin staircase, that lies outside the existing classification of such automata, and has a structure that seems to lie beyond that of any existing Bethe-solvable model. The Fredkin staircase has two families of ballistically propagating quasiparticles, each with infinitely many species. Despite the presence of ballistic quasiparticles, charge transport is diffusive in the d.c. limit, albeit with a highly non-gaussian… 

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