# Cavity-mediated unconventional pairing in ultracold fermionic atoms

## TL;DR

This paper explores how cavity-mediated interactions can induce unconventional pairing in ultracold fermionic atoms, enabling the transition from trivial to topologically nontrivial superfluid states with potential Majorana edge modes.

## Contribution

It demonstrates the emergence of multiple pairing symmetries and the controllable transition to topological superfluids via tuning atomic interactions.

## Key findings

- Identification of three degenerate pairing symmetries in a 2D lattice
- Controlled transition from s-wave to chiral topological superfluids
- Potential realization of Majorana edge states

## Abstract

We investigate long-range pairing interactions between ultracold fermionic atoms confined in an optical lattice which are mediated by the coupling to a cavity. In the absence of other perturbations, we find three degenerate pairing symmetries for a two-dimensional square lattice. By tuning a weak local atomic interaction via a Feshbach resonance or by tuning a weak magnetic field, the superfluid system can be driven from a topologically trivial s-wave to topologically ordered, chiral superfluids containing Majorana edge states. Our work points out a novel path towards the creation of exotic superfluid states by exploiting the competition between long-range and short-range interactions.