Long-range interactions are abundant in nature and play a crucial role in understanding exotic quantum phenomena such as superconductivity. However, simulating these interactions presents significant challenges. In a recent breakthrough, we generalized a 300-year-old formula, the Euler-Maclaurin summation formula, resulting in the Singular Euler-Maclaurin expansion, which is now applicable to general long-range interacting lattices. In this workshop, we aim to further extend and apply this method to design algorithms that can predict and design technologically relevant materials exhibiting quantum effects on a macroscale.

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