%0 Journal Article %T Hidden string order in a hole-superconductor with extended correlated hopping %A Ravindra W. Chhajlany %A Przemys£¿aw R. Grzybowski %A Julia Stasi¨½ska %A Maciej Lewenstein %A Omjyoti Dutta %J Physics %D 2015 %I arXiv %X Ultracold fermions in a one-dimensional, spin-dependent, optical lattice are described by a non-standard Hubbard model with next-nearest-neighbour correlated hopping. Periodic driving of the lattice allows wide tuning of the system parameters. We solve this model exactly for a special value of the correlated hopping. The solution reveals the general properties of this system for arbitrary filling: exact and asymmetric spin-charge separation, a gapless spectrum of lowest energy excitations, a spin-gap, which may be interpreted in terms of collective hole pairing and a non-vanishing den Nijs-Rommelse type string correlator. Numerical studies away from the integrable point show the persistence of both long range string order and spin-gap. %U http://arxiv.org/abs/1508.00404v1