  One can use light to tune certain materials, from a trivial to a topological
phase. A prime example of such materials, classified as Floquet topological
insulators (FTI), is epitaxial graphene. In this paper, we probe the
topological phase transition of an FTI via the efficiency and work output of
quantum Otto and quantum Stirling heat engines. A maximum/minimum in the
efficiency or work output invariably signals the phase transition point.
Further, both engines' work output and efficiency are markedly robust against
the polarization direction of light.
