@inproceedings {735, title = {Path-integral Monte Carlo study on SUSY isospectrality in quartic double-well potential}, booktitle = {Proceedings of the 44th Samahang Pisika ng Pilipinas Physics Conference}, year = {2026}, month = {17-20 Jun 2026}, pages = {SPP-2026-3C-02}, address = {Los Ba{\~n}os}, abstract = {In this paper, we apply Path-integral Monte Carlo (PIMC) to compute the ground-state densities of a quartic double-well potential V$_{0}$(x) and its SUSY partner V$_{1}$(x), parametrised by barrier height h and well-separation b. Each density was characterized by its peak separation d mapped across the (h, b) parameter space, providing a non-perturbative numerical test of the SUSY isospectrality relation. The energy of the ground-state density of V$_{1}$ is confirmed to be degenerate with the first excited state of V$_{0}$, confirming this relation. Moreover, it was found that the peak separation d grows monotonically with b. However, this behavior breaks down when h {\textrightarrow} 0, which can be explained by the histograms of the ground-state densities in these regions, which were broad and relatively flat. Given these results, it was demonstrated that PIMC can be a direct numerical probe of ground-state SUSY QM.}, url = {https://proceedings.spp-online.org/article/view/SPP-2026-3C-02}, author = {Juan Miguel S Apura and Noel M. Lamsen} }