Fig. 4: Reconstructing 1D systems from experiments.
From: Quantifying hole-motion-induced frustration in doped antiferromagnets by Hamiltonian reconstruction
a Illustration of snapshots of the 1D FH model in real (top) and squeezed (bottom) space. b Evaluation of 1D FH snapshots of a cold atom experiment22. Reconstructions of the effective spin-Hamiltonian Eq. (6) in squeezed space for varying hole densities are shown by blue data points. Red data points correspond to reconstructions of the 1D t − J model, which we simulate using MPS for parameters as estimated in ref. 22, i.e., t/J = 1.82 and T/J = 0.87. Results are compared to theoretical predictions (dashed lines) assuming spin-charge separation, Eqs. (7) and (8), showing a good match with the reconstructed data. In particular, higher order hopping processes lead to the FH measurement reconstructions of \({J}_{1}^{x}/J\) to consistently lie above predictions for the t − J model. Error bars are too small to be visible for the t − J reconstructions on the scale of the plot. The T = ∞ limit is shown by the gray dashed line, where a linear decrease \({J}_{1}^{x}=1-{n}^{h}\) is expected for both the FH and t − J model.
