Integrable many-body quantum floquet-thouless pumps

Aaron J. Friedman, Sarang Gopalakrishnan, Romain Vasseur

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

We construct an interacting integrable Floquet model featuring quasiparticle excitations with topologically nontrivial chiral dispersion. This model is a fully quantum generalization of an integrable classical cellular automaton. We write down and solve the Bethe equations for the generalized quantum model and show that these take on a particularly simple form that allows for an exact solution: Essentially, the quasiparticles behave like interacting hard rods. The generalized thermodynamics and hydrodynamics of this model follow directly, providing an exact description of interacting chiral particles in the thermodynamic limit. Although the model is interacting, its unusually simple structure allows us to construct operators that spread with no butterfly effect; this construction does not seem possible in other interacting integrable systems. This model exemplifies a new class of exactly solvable, interacting quantum systems specific to the Floquet setting.

Original languageEnglish (US)
Article number170603
JournalPhysical review letters
Volume123
Issue number17
DOIs
StatePublished - Oct 23 2019

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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