Integrable model of topological SO(5) superfluidity

Assisted by general symmetry arguments and a many-body invariant, we introduce a phase of matter that constitutes a topological SO(5) superfluid. Key to this finding is the realization of an exactly solvable model that displays some similarities with a minimal model of superfluid He-3. We study its quantum phase diagram and correlations, and find exotic superfluid as well as metallic phases in the repulsive sector. At the critical point separating trivial and nontrivial superfluid phases, our Hamiltonian reduces to the globally SO(5)-symmetric Gaudin model with a degenerate ground manifold that includes quartet states. Most importantly, the exact solution permits uncovering of an interesting non-pair-breaking mechanism for superfluids subject to external magnetic fields. Nonintegrable modifications of our model lead to a strong-coupling limit of our metallic phase with a ground-state manifold that shows an extensive entropy.

Automated summary

By utilizing general symmetry arguments and a many-body invariant, a phase of matter known as a topological SO(5) superfluid is introduced. The study of its quantum phase diagram and correlations reveals exotic superfluid and metallic phases in the repulsive sector. At the critical point, the Hamiltonian reduces to the globally SO(5)-symmetric Gaudin model with quartet states.