@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 <em>h</em> and well-separation <em>b</em>. Each density was characterized by its peak separation <em>d</em> mapped across the (<em>h</em>, <em>b</em>) 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 <em>d</em> grows monotonically with <em>b</em>. However, this behavior breaks down when <em>h</em> {\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}
}