Integrable two-channel px+ipy-wave model of a superfluid

Abstract

We introduce a family of integrable spin-boson models, focusing on a particular realization describing a system of spinless fermions interacting through a p-wave Feshbach resonance. Unlike the BCS-BEC crossover of the s-wave case, the p-wave model has a third-order quantum phase transition. The critical point coincides with the deconfinement of a single molecule within a BEC of bound dipolar molecules. The exact many-body wave function yields a unique perspective of the quantum critical region, suggesting that the size of the condensate wave function that diverges logarithmically with the chemical potential could be used as an experimental indicator of the phase transition. © 2011 American Physical Society.