A comment on a possible inadequacy of new redefinitions of heat and work in quantum thermodynamics

We analyze the new redefinitions of heat Q and work W recently presented in [arXiv: 1912.01939; arXiv:1912.01983v5] in the quantum thermodynamics domain. According to these redefinitions, heat must be associated with the variation of entropy, while work must be associated with variation of state vectors. Analyzing the behavior of two specific examples, we show some peculiarities of these new redefinitions which, based on the counterexample presented, seems to point to a possible inadequacy of these redefinitions.