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.

References in corpus (24)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Classification of topological insulators and superconductors in three spatial dimensions
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Bose-Einstein Condensation of Erbium
• The Quantum Spin Hall Effect: Theory and Experiment
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Quantum degenerate dipolar Fermi gas
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Orbital superfluidity in the $P$-band of a bipartite optical square lattice
• The $p_{x,y}$-orbital counterpart of graphene: cold atoms in the honeycomb optical lattice
• Topological orbital ladders
• Manipulating Topological Edge Spins in One-Dimensional Optical Lattice
• Quasi-one-dimensional polarized Fermi superfluids
• Staggered-Vortex Superfluid of Ultracold Bosons in an Optical Lattice
• BCS-BEC crossover on the two-dimensional honeycomb lattice
• Orbital ordering and frustration of $p$-band Mott-insulators
• Unconventional superfluid in a two-dimensional Fermi gas with anisotropic spin-orbit coupling and Zeeman fields
• Stability of a Floquet Bose-Einstein condensate in a one-dimensional optical lattice
• Quantum anomalous Hall states in the $p$-orbital honeycomb optical lattices
• Shaping topological properties of the band structures in a shaken optical lattice
• Stability of $p$-orbital Bose-Einstein condensates in optical checkerboard and square lattices

Cited by in corpus (6)

• Floquet analysis of a quantum system with modulated periodic driving
• Topological Fulde-Ferrell Superfluids of a Spin-Orbit Coupled Fermi Gas
• 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
• Engineering nonequilibrium superconducting phases in a voltage-driven superconductor under an external magnetic field