Simulating an exact one-dimensional transverse Ising model in an optical lattice

A spinless Bose-Hubbard model in a one-dimensional (1D) double-chain tilted lattice is numerically studied at unit filling per cell. When each atom localized two-site cell, the low-energy effective gives rise to an exact textbook of 1D transverse Ising via superexchange interaction. To validate model, we calculate energy spectrum and nearest-neighbor correlation functions states subspace which equivalent Hilbert space spin-1/2 magnetic model. The results show good consistency with that it possible simulate dynamical quantum phase transition exactly such Our may provide some inspirations for realizing exploring ultracold neutral systems.