IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v576y2021ics0378437121001643.html
   My bibliography  Save this article

Unified trade-off optimization of a three-level quantum refrigerator

Author

Listed:
  • Kaur, Kirandeep
  • Singh, Varinder
  • Ghai, Jatin
  • Jena, Satyajit
  • Müstecaplıoğlu, Özgür E.

Abstract

We study the optimal performance of a three-level quantum refrigerator using a trade-off objective function, Ω function, which represents a compromise between the energy benefits and the energy losses of a thermal device. First, we optimize the performance of our refrigerator by employing a two-parameter optimization scheme and show that the first two terms in the series expansion of the obtained coefficient of performance (COP) match with those of some classical models of the refrigerator. Then, in the high-temperature limit, optimizing with respect to one parameter while constraining the other one, we obtain the lower and upper bounds on the COP for both strong as well as weak (intermediate) matter-field coupling conditions. In the strong matter-field coupling regime, the obtained bounds on the COP exactly match with the bounds already known for some models of classical refrigerators. Further, for weak matter-field coupling, we derive some new bounds on the COP of the refrigerator, which lie beyond the range covered by bounds obtained for strong matter-field coupling. Then, in the parameter regime where both cooling power and Ω function can be maximized, we compare the cooling power of the quantum refrigerator at maximum Ω function with the maximum cooling power. Finally, in addition to carrying optimization over the internal parameters (frequencies) of the three-level system, we optimize the performance of the three-level model with respect to system-bath coupling parameters and highlight its implications on the performance of both engine and refrigerator modes of operation.

Suggested Citation

  • Kaur, Kirandeep & Singh, Varinder & Ghai, Jatin & Jena, Satyajit & Müstecaplıoğlu, Özgür E., 2021. "Unified trade-off optimization of a three-level quantum refrigerator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 576(C).
    • Handle: RePEc:eee:phsmap:v:576:y:2021:i:c:s0378437121001643
    DOI: 10.1016/j.physa.2021.125892
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437121001643
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2021.125892?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Salamon, P. & Nulton, J.D. & Siragusa, G. & Andersen, T.R. & Limon, A., 2001. "Principles of control thermodynamics," Energy, Elsevier, vol. 26(3), pages 307-319.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Cao, Haibo & Li, Zhexu & Peng, Wanli & Yang, Hanxin & Guo, Juncheng, 2023. "Optimal analyses and performance bounds of the low-dissipation three-terminal heat transformer: The roles of the parameter constraints and optimization criteria," Energy, Elsevier, vol. 277(C).
    2. Qi, Congzheng & Chen, Lingen & Ge, Yanlin & Feng, Huijun, 2023. "Three-heat-reservoir thermal Brownian heat transformer and its performance limits," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chen, Lingen & Sun, Fengrui & Wu, Chih, 2006. "Optimal configuration of a two-heat-reservoir heat-engine with heat-leak and finite thermal-capacity," Applied Energy, Elsevier, vol. 83(2), pages 71-81, February.
    2. Blanco, Jesús M. & Vazquez, L. & Peña, F., 2012. "Investigation on a new methodology for thermal power plant assessment through live diagnosis monitoring of selected process parameters; application to a case study," Energy, Elsevier, vol. 42(1), pages 170-180.
    3. Xia, Shaojun & Chen, Lingen & Sun, Fengrui, 2011. "Power-optimization of non-ideal energy converters under generalized convective heat transfer law via Hamilton-Jacobi-Bellman theory," Energy, Elsevier, vol. 36(1), pages 633-646.
    4. A.M. Tsirlin, & V. Kazakov, & N.A. Alimova & A.A. Ahremenkov, 2005. "Thermodynamic model of capital extraction in economic systems," Interdisciplinary Description of Complex Systems - scientific journal, Croatian Interdisciplinary Society Provider Homepage: http://indecs.eu, vol. 3(1), pages 1-16.
    5. Chen, Lingen & Xiaoqin, Zhu & Sun, Fengrui & Wu, Chih, 2007. "Exergy-based ecological optimization for a generalized irreversible Carnot heat-pump," Applied Energy, Elsevier, vol. 84(1), pages 78-88, January.
    6. Chen, Lingen & Zhang, Lei & Xia, Shaojun & Sun, Fengrui, 2018. "Entropy generation minimization for CO2 hydrogenation to light olefins," Energy, Elsevier, vol. 147(C), pages 187-196.
    7. Zhang, Lei & Chen, Lingen & Sun, Fengrui, 2016. "Power optimization of chemically driven heat engine based on first and second order reaction kinetic theory and probability theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 221-230.
    8. Yin, Yong & Chen, Lingen & Wu, Feng & Ge, Yanlin, 2020. "Work output and thermal efficiency of an endoreversible entangled quantum Stirling engine with one dimensional isotropic Heisenberg model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    9. Chen, Lingen & Lorenzini, Giulio, 2023. "Heating load, COP and exergetic efficiency optimizations for TEG-TEH combined thermoelectric device with Thomson effect and external heat transfer," Energy, Elsevier, vol. 270(C).
    10. Wang, Chao & Chen, Lingen & Xia, Shaojun & Sun, Fengrui, 2016. "Maximum production rate optimization for sulphuric acid decomposition process in tubular plug-flow reactor," Energy, Elsevier, vol. 99(C), pages 152-158.
    11. Li, Jun & Chen, Lingen & Sun, Fengrui, 2007. "Optimal configuration of a class of endoreversible heat-engines for maximum power-output with linear phenomenological heat-transfer law," Applied Energy, Elsevier, vol. 84(9), pages 944-957, September.
    12. Shu, Liwei & Chen, Lingen & Sun, Fengrui, 2007. "Performance optimization of a diabatic distillation-column by allocating a sequential heat-exchanger inventory," Applied Energy, Elsevier, vol. 84(9), pages 893-903, September.
    13. Chen, Lingen & Ding, Zemin & Sun, Fengrui, 2011. "Model of a total momentum filtered energy selective electron heat pump affected by heat leakage and its performance characteristics," Energy, Elsevier, vol. 36(7), pages 4011-4018.
    14. Song, Hanjiang & Chen, Lingen & Sun, Fengrui, 2007. "Endoreversible heat-engines for maximum power-output with fixed duration and radiative heat-transfer law," Applied Energy, Elsevier, vol. 84(4), pages 374-388, April.
    15. Zhou, Junle & Chen, Lingen & Ding, Zemin & Sun, Fengrui, 2016. "Analysis and optimization with ecological objective function of irreversible single resonance energy selective electron heat engines," Energy, Elsevier, vol. 111(C), pages 306-312.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:576:y:2021:i:c:s0378437121001643. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.