# Topological Fulde-Ferrell states in alkaline-earth-metal-like atoms near an orbital Feshbach resonance

## TL;DR

This paper explores how synthetic spin-orbit coupling induces a topological Fulde-Ferrell superfluid state in ultracold alkaline-earth-metal-like atoms near an orbital Feshbach resonance, revealing unique topological properties and experimental signatures.

## Contribution

It demonstrates the emergence of a topological Fulde-Ferrell state driven by spin-orbit coupling in a quasi-one-dimensional ultracold Fermi gas near an orbital Feshbach resonance, highlighting the topological nature of the closed channel.

## Key findings

- Topological Fulde-Ferrell state exists in the system.
- Topological property characterized by Zak phase and edge states.
- Momentum-space density distribution reveals topological phase.

## Abstract

We study the effects of synthetic spin-orbit coupling on the pairing physics in quasi-one-dimensional ultracold Fermi gases of alkaline-earth-metal-like atoms near an orbital Feshbach resonance (OFR). The interplay between spin-orbit coupling and pairing interactions near the OFR leads to an interesting topological Fulde-Ferrell state, where the nontrivial topology of the state is solely encoded in the closed channel with a topologically trivial Fulde-Ferrell pairing in the open channel. We confirm the topological property of the system by characterizing the Zak phase and the edge states. The topological Fulde-Ferrell state can be identified by the momentum-space density distribution obtained from time-of-flight images.