Abstract
A model of two coupled autonomous quantum refrigerators is proposed. Starting from the standard three qubit small quantum absorption cooling machine as a reference, we couple the two machines via their qubits connected to the cold baths. We show that this coupling is likely to generate a thermal current, and thus a thermal entanglement, between the two machines through the coupled qubits. We investigate the effects of this thermal entanglement on the thermodynamic performances of the proposed model. Specifically, we find that the entanglement of the two qubits connected to the cold baths improves the effective cooling performances of the system when the two qubits are coupled to a common bath. However, this is not necessarily obvious when the these qubits are coupled to two independent reservoirs. The entanglement contributes to increase the effective performance of the system in the case of a common bath while it degrades the cooling power of each refrigerator in the case of independent baths.
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