Floquet FFLO superfluids and Majorana fermions in a shaken fermionic optical lattice

Abstract

Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) superfluids, Cooper pairings with finite momentum, and Majorana fermions (MFs), quasiparticles with non-Abelian exchange statistics, are two topics under intensive investigation in the past several decades, but unambiguous experimental evidences for them have not been found yet in any physical system. Here we show that the recent experimentally realized cold atom shaken optical lattice provides a new pathway to realize FFLO superfluids and MFs. By tuning shaken lattice parameters (shaking frequency and amplitude), various coupling between the s- and p-orbitals of the lattice (denoted as the pseudo-spins) can be generated. We show that the combination of the inverted s- and p-band dispersions, the engineered pseudo-spin coupling, and the attractive on-site atom interaction, naturally allows the observation of FFLO superfluids as well as MFs in different parameter regions. While without interaction the system is a topological insulator (TI) with edge states, the MFs in the superfluid may be found to be in the conduction or valence band, distinguished from previous TI-based schemes that utilize edge states inside the band gap.

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Cited by in corpus (14)

• The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
• Floquet analysis of a quantum system with modulated periodic driving
• $\eta$-pairing superfluid in periodically-driven fermionic Hubbard model with strong attraction
• Topological Fulde-Ferrell Superfluids of a Spin-Orbit Coupled Fermi Gas
• Theory of interacting fermions in shaken square optical lattice
• Feasibility of a Fulde-Ferrell-Larkin-Ovchinnikov superfluid Fermi atomic gas
• Effective Hamiltonian with tunable mixed pairing in driven optical lattices
• Proposed Fermi-surface reservoir-engineering and application to realizing unconventional Fermi superfluids in a driven-dissipative non-equilibrium Fermi gas
• Anatomy of a periodically driven p-wave superconductor
• Cavity-induced Fulde-Ferrell-Larkin-Ovchinnikov superfluids of ultracold Fermi gases
• Manipulating Cooper pairs with a controllable momentum in periodically driven degenerate Fermi gases
• Engineering nonequilibrium superconducting phases in a voltage-driven superconductor under an external magnetic field
• Anomalous isothermal compressibility in spin-orbit coupled degenerate Fermi gases
• Field-induced topological pair-density wave states in a multilayer optical lattice