Optimal Analysis on Performance of a Quantum Heat Engine Both within Finite-Time and Irreversible Th

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We consider the performance in finite time of a quantum Otto cycle, which consists of two quantum adiabatic and two isochoric processes and works between two heat reservoirs at constant temperatures Th and Tc (<Th).The working substance of the quantum Otto engine may be a spin system or a harmonic system.We find that these Otto engines share the same expression of the efficiency at maximum power (EMP)∶ η± =ηc ^2/[ηc-(1-ηc) In(1-ηc)], with rηc=1-Tc/Th, being the Camot efficiency.Moreover, we show that the engine model can be mapped into a nonlinear irreversible heat engine and determine the upper and lower bounds of the EMP, which are identical to corresponding ones derive previously.
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