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Evaluating the performance of a refrigerator by an external system using entanglement

  • Regular Article - Quantum Optics
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Abstract

We propose a model of a quantum thermal refrigeration machine interacting with an external atom via an entanglement phenomenon. The machine is formed by three qubits of two-level, where each one interacts locally with its proper reservoir at different temperatures. The second qubit of the refrigerator and the external qubit are initially prepared in an entangled state. The effect of the quantum refrigerator on the entanglement of the final atomic state is studied. It is shown that the survival of the entanglement of the atomic system (Qubits 2 and 4) depends on the temperature of the second reservoir. The heat flow from the cold bath (cooling power) to the hot bath is discussed, where we prove that the refrigeration may be enhanced by the energy coming from the entangled external qubit. Indeed, it is shown that the enhancement of cooling power by increasing the degree of entanglement.

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Data availability statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All the informations are mentioned in the paper.].

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Acknowledgements

The authors would like to thank the ICTP-Trieste, where part of the work was carried out, for its hospitality and support.

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Authors and Affiliations

  1. ESMAR, Faculty of Sciences, Mohammed V University, Rabat, Morocco

    Y. Khlifi & Y. Hassouni

  2. Laboratory of R&D in Engineering Sciences, Faculty of Sciences and Techniques Al-Hoceima, Abdelmalek Essaadi University, Tétouan, Morocco

    Y. Khlifi & A. El Allati

  3. The Abdus Salam International Center for Theoretical Physics, Strada Costiera 11, Trieste, Italy

    A. El Allati

  4. Mathematics and Theoretical Physics Department, Nuclear Research Center (NRC), Atomic Energy Authority, Cairo, 13759, Egypt

    A. Salah

  5. Mathematics Department, Faculty of Science, South Valley University, Qena, Egypt

    A. Salah

Authors
  1. Y. Khlifi
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  2. A. El Allati
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  3. A. Salah
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  4. Y. Hassouni
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Contributions

The tasks of our group in this work are structured as follows: the calculations are done by the author YK, while the author AEA discusses and interprets the different results. However, writing and revision of the paper was carried out by the whole group YK et al.

Corresponding author

Correspondence to Y. Khlifi.

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Khlifi, Y., El Allati, A., Salah, A. et al. Evaluating the performance of a refrigerator by an external system using entanglement. Eur. Phys. J. D 75, 195 (2021). https://doi.org/10.1140/epjd/s10053-021-00211-7

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  • DOI: https://doi.org/10.1140/epjd/s10053-021-00211-7

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