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Abstract
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Westudy a quantum heat engine (QHE) with a working medium described by a parity-deformed
Jaynes–Cummings (JC) model consisting of two identical two-level atoms interacting with a singlemode para-Bose field in a cavity. Compared to the standard two-atom JC model, this model
introduces the action of aspecific local classical field as an external control. This QHE operates under a
quantum Otto cycle, where the working substance interacts with two reservoirs at different
temperatures through four stages including two quantum isochoric processes and two quantum
adiabatic processes. We investigate influence of the local external classical fields on the positive work
condition as well as the efficiency of the engine, with emphasis on the control role of the local external
classical fields. In the absence of local classical fields, we analytically show that work can not be
extracted at low-temperature reservoirs, while a remarkable work is extracted for any temperature
under the local classical fields. Meanwhile, we show that the efficiency of our engine reaches the
classical Carnot value in the low-temperature regime. We also study the thermal atom-atom
entanglement at the end of isochoric stages andshow that it will be maintained by adjusting the
intensity of the local classical fields. Interestingly, we find that the reduction of the thermal atom-atom
entanglement during the cold bath stage acts as a resource for positive work extraction.
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