Two-dimensional Paired Topological Superfluids of Rydberg Fermi Gases

TL;DR

This paper explores various topological superfluid phases in Rydberg-dressed fermionic atoms in a bilayer optical lattice, revealing new states with potential for experimental realization of topological superfluids.

Contribution

It systematically classifies and analyzes topological superfluid states in Rydberg-dressed fermions, highlighting novel gapless and gapped phases with symmetry properties.

Findings

Identification of multiple topological superfluid phases

Discovery of a gapless paired topological superfluid with symmetries

Potential for experimental realization of topological superfluids

Abstract

We systematically investigate the topological properties of spin polarized Rydberg-dressed fermionic atoms loaded in a bilayer optical lattice. Through tuning the Rydberg coupling strength and the inter-layer tunneling amplitude, we identify different types of topological superfluid states generated from the inter-layer pairing and relative gauge phase modulation of the couples 2D $p$-wave superfluids. These phases includes gapped/gapless with/without time reversal symmetry. One of the most interesting states is a gapless paired topological superfluid with both the time-reversal symmetry and particle-hole symmetry. This state is equivalent to a topological Kondo lattice model with the spin-orbit coupling, an in-plane magnetic field, and an additional particle-hole symmetry. The flexibility of experimental manipulation in such Rydberg-dressed ferminoic systems therefore becomes a promising system for realizing interesting topological superfluids.