4 papers
Constrained integrability and anyonic chains
Matthew Blakeney, Luke Corcoran, Marius de Leeuw
We review the notion of Yang-Baxter integrability for spin chains that have Hilbert spaces with constraints, such as a Rydberg blockade. We focus on anyonic chains, whose constrain…
Temperley-Lieb integrable models and fusion categories
Matthew Blakeney, Luke Corcoran, Marius de Leeuw +2
We show that every fusion category containing a non-invertible, self-dual object gives rise to an integrable anyonic chain whose Hamiltonian density satisfies the Temperley-Lie…
Integrable models on Rydberg atom chains
Luke Corcoran, Marius de Leeuw, Balázs Pozsgay
We initiate a systematic study of integrable models for spin chains with constrained Hilbert spaces; we focus on spin-1/2 chains with the Rydberg constraint. We extend earlier resu…
Integrable and critical Haagerup spin chains
Luke Corcoran, Marius de Leeuw
We construct the first integrable models based on the Haagerup fusion category . We introduce a Haagerup version of the anyonic spin chain and use the boost operator formalism…