  Despite the increasing interest, the research field which studies the
concepts of work and heat at quantum level has suffered from two main
drawbacks: first, the difficulty to properly define and measure the work, heat
and internal energy variation in a quantum system and, second, the lack of
experiments. Here, we report for the first time the full experimental
characterization of the dissipated heat, work and internal energy variation in
a two-level quantum system interacting with an engineered environment. We use
the IBMQ quantum computer to implement the driven system's dynamics in a
dissipative environment. The experimental data allow us to construct
quasi-probability distribution functions from which we recover the correct
averages of work, heat and internal energy variation in the dissipative
processes. Interestingly, by increasing the environment coupling strength, we
observe a reduction of the pure quantum features of the energy exchange
processes that we interpret as the emergence of the classical limit. This makes
the present approach a privileged tool to study, understand and exploit quantum
effects in energy exchanges.
