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

TL;DR

This paper derives a formula relating doublon production rates to spin correlations in fermionic atoms within optical lattices, enabling numerical analysis of their temperature-dependent behavior under various conditions.

Contribution

It introduces a general formula for doublon production rate in inhomogeneous optical lattices, linking it to spin correlations and applicable for numerical computation.

Findings

Doublon production rate is related to spin-spin correlations in certain regimes.

Finite temperature quantum Monte Carlo effectively computes temperature dependence.

The formula applies to inhomogeneous potentials like traps.

Abstract

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