Cleurenet al.Reply:

Efficiency at maximum power and efficiency fluctuations in a linear Brownian heat-engine model

“…On the other hand, the Curzon-Ahlborn efficiency was investigated from the viewpoint of symmetry in Refs. [29][30][31]. It would be interesting to pursue the implication of the relation s 1 = F (s 2 ) on underlying symmetry of engine dynamics.…”

“…It was found that the first order term reflects the strong coupling between thermodynamic fluxes [29] and that the second order term the left-right symmetry [30]. The universality of the expansion has been investigated in the context of irreversible thermodynamics [31].…”

Cooling by heating: Restoration of the third law of thermodynamics

“…Levy et al suggest that the violation of the third law may be due to the neglect of internal transitions within a single dot. This suggestion was refuted by Cleuren et al [11] who stated that the model could also be constructed using two pairs of spatially separated quantum dots, as we have done here. Their own explanation for the violation was that the quantum master equation they utilized does not take into account coherent effects, and the broadening of the linewidth of the quantum dot energy levels was ignored.…”

Third Law of Thermodynamics as a Single Inequality

“…However, these no-go results do not say much about the amount of resources needed for approximate cooling. Indeed, in recent times a sizable number of studies deal with different protocols to cool a small quantum system by unitarily acting on a heat bath and a certain number of systems out of equilibrium to be "used up" (known under the name of algorithmic or dynamical cooling) [9][10][11][12][13] or studying particular models of refrigerating small quantum systems [14][15][16][17][18][19][20], including ones that seem to challenge the unattainability principle in terms of required time [21][22][23][24][25][26][27][28].…”