Integrable model of a p-wave bosonic superfluid

Abstract

We present an exactly solvable 𝘱 -wave pairing model for two bosonic species. The model is solvable in any spatial dimension and shares some commonalities with the 𝘱 + 𝘪𝘱 Richardson-Gaudin fermionic model, such as a third-order quantum phase transition. However, contrary to the fermionic case, in the bosonic model the transition separates a gapless fragmented singlet pair condensate from a pair Bose superfluid, and the exact eigenstate at the quantum critical point is a pair condensate analogous to the fermionic Moore-Read state.