generation of quantum spin liquids from Floquet engineering of multi-spin interactions in optical lattices

Quantum spin liquids are phases of matter with exotic properties such as the presence of long range entanglement and quasiparticles excitations with fractional statistics. There have been numerous experimental investigations to detect quantum spin liquids in solid state systems in the past few decades, however, verifying these phases of matter is still quite challenging. On the other hand, Floquet engineering has emerged as a powerful technique that can be employed to study exotic quantum phases in atomic molecular optical (AMO) quantum simulators. In this work, we use Floquet engineering to manipulate a bosonic AMO system on triangular or Kagome lattices where an effective spin Hamiltonian can be obtained which hosts a chiral(gapped) or gapless spin liquid ground state. In particular, we consider a driven two-component Bose Hubbard model in the triangular or Kagome lattices with complex hopping constants. We then obtain an effective spin Hamiltonian in terms of Heisenberg interactions and chiral spin interactions S_i ·(S_j ×S_k) tunable as a function of the frequency and amplitude of the drive. Finally, we propose several experimental methods to detect and verify the signatures of spin liquids in optical lattices.