Integrable two-channel p_x+ip_y-wave superfluid model

TL;DR

This paper introduces an exactly solvable two-channel p-wave superfluid model that exhibits a third order quantum phase transition, providing insights into the critical behavior and potential experimental indicators.

Contribution

It presents a new integrable model for p-wave superfluidity with a detailed analysis of its quantum phase transition and critical properties.

Findings

Identifies a third order quantum phase transition in the p-wave model

Shows the critical point involves deconfinement of a single molecule

Suggests the condensate wavefunction size as an experimental indicator

Abstract

We present a new two-channel integrable model 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 wavefunction provides a unique perspective of the quantum critical region suggesting that the size of the condensate wavefunction, that diverges logarithmically with the chemical potential, could be used as an experimental indicator of the phase transition.