Efficiency at maximum power output of quantum heat engines under finite-time operation

Abstract

We study the efficiency at maximum power, ${\eta }_m$, of irreversible quantum Carnot engines (QCEs) that perform finite-time cycles between a hot and a cold reservoir at temperatures $T_h$ and $T_c$, respectively. For QCEs in the reversible limit (long cycle period, zero dissipation), ${\eta }_m$ becomes identical to Carnot efficiency ${\eta }_{{}_C}=1-\frac{T_c}{T_h}$. For QCE cycles in which nonadiabatic dissipation and time spent on two adiabats are included, the efficiency ${\eta }_m$ at maximum power output is bounded from above by $\frac{{\eta }_{{}_C}}{2-{\eta }_{{}_C}}$ and from below by $\frac{{\eta }_{{}_C}}{2}$. In the case of symmetric dissipation, the Curzon-Ahlborn efficiency ${\eta }_{{}_{CA}}=1-\sqrt{\frac{T_c}{T_h}}$ is recovered under the condition that the time allocation between the adiabats and the contact time with the reservoir satisfy a certain relation.

to be published in Phys. Rev. E (2012)

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