  By harnessing quantum phenomena, quantum devices have the potential to
outperform their classical counterparts. Previous work has shown that a bosonic
working medium can yield better performance than a fermionic medium. We expand
upon this work by incorporating a singular interaction that allows the
effective symmetry to be tuned between the bosonic and fermionic limits. In
this framework, the particles can be treated as anyons subject to Haldane's
generalized exclusion statistics. Solving the dynamics analytically using the
framework of "statistical anyons" we explore the interplay between
interparticle interactions and wave function symmetry on engine performance.
