$p$-wave chiral superfluidity from an $s$-wave interacting atomic Fermi gas

Abstract

Chiral $p$-wave superfluids are fascinating topological quantum states of matter that have been found in the liquid ${}^3$He-A phase and arguably in the electronic Sr${}_2$RuO${}_4$ superconductor. They are shown fundamentally related to the fractional $5/2$ quantum Hall state which supports fractional exotic excitations. A common understanding is that such states require spin-triplet pairing of fermions due to $p$-wave interaction. Here we report by controlled theoretical approximation that a center-of-mass Wannier $p$-wave chiral superfluid state can arise from spin-singlet pairing for an $s$-wave interacting atomic Fermi gas in an optical lattice. Despite a conceptually different origin, it shows topological properties similar to the conventional chiral $p$-wave state. These include a non-zero Chern number and the appearance of chiral fermionic zero modes bounded to domain walls. Several signature quantities are calculated for the cold atom experimental condition.

16 pages and 7 figures including supplementary materials

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• Physics of higher orbital bands in optical lattices: a review
• Majorana modes and $p$-wave superfluids for fermionic atoms in optical lattices
• Evidence of Potts-Nematic Superfluidity in a Hexagonal $s{p}^2$ Optical Lattice
• Cavity-mediated unconventional pairing in ultracold fermionic atoms
• Novel $p$-wave superfluids of fermionic polar molecules
• Topological Fulde-Ferrell Superfluids of a Spin-Orbit Coupled Fermi Gas
• P-wave superfluidity of atomic lattice fermions
• Superfluid phases of fermions with hybridized $s$ and $p$ orbitals
• Atom-Orbital Qubits under Holonomic Quantum Control
• Rotation-symmetry-enforced coupling of spin and angular momentum for p-orbital bosons
• Bipartite Fluctuations and Topology of Dirac and Weyl Systems
• Interaction induced topological Bogoliubov excitations in a spin-orbit coupled Bose-Einstein condensate
• Effective p-wave interaction and topological superfluids in s-wave quantum gases
• Detecting $\pi$-phase superfluids with $p$-wave symmetry in a quasi-1D optical lattice
• Experimental realization of a high precision tunable hexagonal optical lattice
• Chiral orbital magnetism of $p$-orbital bosons in optical lattices
• Bosonic Topological Excitations from the Instability of a Quadratic Band Crossing
• Tunable boson-assisted finite-range interaction and engineering Majorana corner modes in optical lattices
• Anomalous Hall effect in single-band chiral superconductors from impurity superlattices
• Superfluidity of a dipolar Fermi gas in 2D optical lattices bilayer
• Orbital hybridized topological Fulde-Ferrel superfluidity in a noncentrosymmetric optical lattice
• Supersolid phases of dipolar fermions in a two-dimensional-lattice bilayer array
• Quantum Adiabatic Doping with Incommensurate Optical Lattices
• Chiral to helical Majorana fermion transition in a $p$-wave superconductor
• Fulde-Ferrell superfluids in spinless ultracold Fermi gases
• Effect of hybridization symmetry on topological phases of odd-parity multiband superconductors
• Topological orbital superfluid with chiral d-wave order in a rotating optical lattice
• Odd-parity topological superfluidity for fermions in a bond-centered square optical lattice
• Precision Measurement of Spin-Dependent Dipolar Splitting in ${}^6$Li p-Wave Feshbach Resonances
• Simulating the Palmer-Chalker state in an orbital superfluid
• Emergent interlayer nodal superfluidity of a dipolar fermi gas in bilayer optical lattices
• Superfluidity of identical fermions in an optical lattice: atoms and polar molecules