Simulation of two-flavors symmetry-locking phases in ultracold fermionic mixtures

TL;DR

This paper proposes a method to create a superfluid phase in ultracold fermionic mixtures with symmetry-locking, leading to non-Abelian vortices and gapless modes, with potential experimental realization.

Contribution

It introduces the two-flavors symmetry-locking phase (TFSL) in ultracold fermionic systems, highlighting its unique topological and symmetry properties.

Findings

Presence of non-Abelian fractional vortices with semi-integer flux.

Existence of gapless non-Abelian Goldstone modes on vortices.

Discussion on feasible experimental realization of TFSL.

Abstract

We describe an ultracold fermionic set-up where it is possible to synthesize a superfluid phase with symmetry obtained by locking independent invariance groups of the normal state. In this phase, named two-flavors symmetry-locking phase (TFSL), non-Abelian fractional vortices with semi-integer flux and gapless non-Abelian Goldstone modes localized on them appear. Considerations on the possible experimental realization of the TFSL are also provided.