Path-integral Monte Carlo study on SUSY isospectrality in quartic double-well potential

In this paper, we apply Path-integral Monte Carlo (PIMC) to compute the ground-state densities of a quartic double-well potential V₀(x) and its SUSY partner V₁(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.