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External driving of bath temperatures with a phase difference of anonequilibrium quantum engine leads to the emergence of geometric effects onthe thermodynamics. In this work, we modulate the amplitude of the externaldriving protocols by introducing envelope functions and study the role ofgeometric effects on the flux, noise and efficiency of a four-level drivenquantum heat engine coupled with two thermal baths and a unimodal cavity. Weobserve that having a finite width of the modulation envelope introduces anadditional control knob for studying the thermodynamics in the adiabatic limit.The optimization of the flux as well as the noise with respect to thermallyinduced quantum coherences becomes possible in presence of geometric effects,which is hitherto not possible with sinusoidal driving without an envelope. Wealso report the deviation of the slope and generation of an intercept in thestandard expression for efficiency at maximum power as a function of Carnotefficiency in presence of geometric effects under the amplitude modulation.Further, a recently developed universal bound on the efficiency obtained fromthermodynamic uncertainty relation is shown not to hold when a small width ofthe modulation envelope along with a large value of cavity temperature ismaintained.

Controlling thermodynamics of a quantum heat engine with modulated amplitude drivings