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The experimental verification of quantum fluctuation relations for drivenopen quantum system is currently a challenge, due to the conceptual andoperative difficulty of distinguishing work and heat. The Nitrogen-Vacancycenter in diamond has been recently proposed as a controlled test bed to studyfluctuation relations in the presence of an engineered dissipative channel, inabsence of work [Hern\'andez-G\'omez et al., Phys. Rev. Research 2, 023327(2020)]. Here, we extend those studies to exploring the validity of quantumfluctuation relations in a driven-dissipative scenario, where the spinexchanges energy both with its surroundings because of a thermal gradient, andwith an external work source. We experimentally prove the validity of thequantum fluctuation relations in the presence of cyclic driving in two cases,when the spin exchanges energy with an effective infinite-temperaturereservoir, and when the total work vanishes at stroboscopic times -- althoughthe power delivered to the NV center is non-null. Our results represent thefirst experimental study of quantum fluctuation relation in driven open quantumsystems.

Experimental test of fluctuation relations for driven open quantum systems with an NV center