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 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…
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…