Spin correlations and doublon production rate for fermionic atoms in modulated optical lattices

摘要

We compute the integrated doublon production rate in response to a lattice modulation for two-componentnfermions in an optical lattice. We derive a general formula for the integrated intensity, valid in the presence ofninhomogeneous potentials such as the trap, which gives the integrated intensity in terms of equal time correlationnfunctions only. Such a formula is thus well suited for direct numerical calculations. We show that, in the limitnof large repulsion for commensurate fillings, or for temperature ranges for which the hopping is incoherent,nthe integrated doublon spectrum is directly related to the nearest-neighbor spin-spin correlation function. Wencompute its temperature dependence in this regime using finite temperature quantum Monte Carlo calculation.