THERMAL SCIENCE

International Scientific Journal

Ahmed A. Zahia

,

Mahmoud Y. Abd-Rabbou

,

Eied Mahmoud Khalild

,

Saud Al-Awfi

QUANTUM BATTERY SYSTEMS: ANALYZING TWO-MODE FIELD CHARGING, QUBIT INTERACTIONS, AND ENVIRONMENTAL INFLUENCES

ABSTRACT
This study investigates the dynamical behaviour of a two-cell (two-atom) quantum battery driven by a two-mode charging field. We explore the influence of varying interaction strengths on the system's performance. This includes increasing the coupling between cells and charging fields, and cells themselves through a dipole interaction and Ising interaction along the z-axis. Additionally, the impact of environmental effects is examined by incorporating decay terms for both the charging fields and the cells. Our analysis focuses on key performance metrics such as stored energy, average power, ergotropy, energy fluctuations, and quantum speed limit time. The results reveal that the environment negatively impacts stored energy, power, and ergotropy, but leads to higher speed limits. Enhanced coupling between the charging fields and the cells improves the studied correlations, promoting efficient energy transfer and decreasing speed limit time. Increasing the coupling between the cells, either via the dipole or Ising interaction, generally exhibits a similar effect. This involves a decrease in maximum achievable energy storage, accompanied by the emergence of more erratic energy fluctuations.
KEYWORDS
quantum battery, two-mode charging field, stored energy, average power, ergotropy, energy fluctuations
PAPER SUBMITTED: 2024-06-11
PAPER REVISED: 2024-09-23
PAPER ACCEPTED: 2024-10-02
PUBLISHED ONLINE: 2025-01-25
DOI REFERENCE: https://doi.org/10.2298/TSCI2406179Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 6, PAGES [5179 - 5192]
REFERENCES
  1. Weber, A. Z., et al., Redox Flow Batteries: A Review, J. Appl. Electrochemistry, 41 (2011), Sept., pp. 1137-1164
  2. Pan, F., Wang, Q., Redox Species of Redox Flow Batteries: A Review, Molecules, 20 (2015), 11, pp. 20499-20517
  3. Schmidt-Rohr, K., How Batteries Store and Release Energy: Explaining Basic Electrochemistry, J. Chem. Educ., 95 (2018), 10, pp. 1801-1810
  4. Geppert, L., Quantum Transistors: Toward Nanoelectronics, IEEE Spectrum, 37 (2000), 9. pp. 46-51
  5. Hedges, M. P., et al., Efficient Quantum Memory for Light, Nature, 465 (2010), 7301, pp. 1052-1056
  6. Ladd, T. D., et al., Quantum Computers, Nature, 464 (2010), 7285, pp. 45-53
  7. Shen, H., et al., Quantum Optical Diode with Semiconductor Microcavities, Phys. Rev. A, 90 (2014), 2, 023849
  8. McRae, A., et al., Graphene Quantum Strain Transistors, Phys. Rev. Appl. 11 (2019), 5, 054019
  9. Alicki, R., Fannes, M., Entanglement Boost For Extractable Work from Ensembles of Quantum Batteries, Phys. Rev. E, 87 (2013), 4, 042123
  10. Andolina, G. M., et al., Quantum vs. Classical Many-Body Batteries, Phys. Rev. B, 99 (2019), 20, 205437
  11. Kamin, F., et al., Non-Markovian Effects on Charging and Self-Discharging Process of Quantum Batteries, New J. Phy., 22 (2020), 8, 083007
  12. Santos, A. C., Quantum Advantage of Two-Level Batteries in the Self-Discharging Process, Phys. Rev. E, 103 (2021), 4, 042118
  13. Farina, D., et al., Charger-Mediated Energy Transfer for Quantum Batteries: An Open-System Approach, Phys. Rev. B, 99 (2019), 3, 035421
  14. Andolina, G. M., et al., Extractable Work, the Role of Correlations, and Asymptotic Freedom in Quantum Batteries, Phys. Rev. Lett., 122 (2019), 4, 047702
  15. Chang, W., et al., Optimal Building Block of Multipartite Quantum Battery in the Driven-Dissipative Charging, New J. Phy., 23 (2021), 10, 103026
  16. Le, T. P., et al., Spin-Chain Model of A Many-Body Quantum Battery, Phys. Rev. A, 97 (2018), 2, 022106
  17. Ghosh, S., et al., Fast Charging of a Quantum Battery Assisted by Noise, Phys. Rev. A, 104 (2021), 3, 032207
  18. Hovhannisyan, K. V., et al., Entanglement Generation is Not Necessary for Optimal Work Extraction, Phys. Rev. Lett., 111 (2013), 24, 240401
  19. Binder, F. C., et al., Quantacell: Powerful Charging of Quantum Batteries, New J. Phy., 17 (2015), 7, 075015
  20. Ghosh, S., et al., Enhancement in the Performance of a Quantum Battery by Ordered and Disordered Interactions, Phys. Rev. A, 101 (2020), 3, 032115
  21. Rossini, D., et al., Many-Body Localized Quantum Batteries, Phys. Rev. B, (2019), 11, 115142
  22. Kamin, F., et al., Entanglement, Coherence, and Charging Process of Quantum Batteries, Phys. Rev. E, 102, (2020), 5, 052109
  23. Araya-Sossa, K., Mundarain, D., Geometrical Correlations as a Resource for Non-Local Extractable Work, Ann. Phys., 404 (2019), Mar., pp. 81-92
  24. Campaioli, F., et al., Enhancing the Charging Power of Quantum Batteries, Phys. Rev. Lett., 118 (2017), 150601
  25. Crescente, A., et al., Ultrafast Charging in a Two-Photon Dicke Quantum Battery, Phys. Rev. B, 102 (2020), 24, 245407
  26. Quach, J. Q., et al., Superabsorption in an Organic Microcavity: Toward a Quantum Battery. Sci. Adv., 8 (2022), 2, 3160
  27. Julia-Farre, S., et al., Bounds on the Capacity and Power of Quantum Batteries. Phys. Rev. Res., 2 (2020), 2, 023113
  28. Francica, G., et al., Quantum Coherence and Ergotropy, Phys. Rev. Lett., 125 (2020), 18,180603
  29. Cakmak, B., Ergotropy from Coherences in an Open Quantum System, Phys. Rev. E, 102 (2020), 042111
  30. Antoniou, I., Tasaki, S., Generalized Spectral Decompositions of Mixing Dynamical Systems, Int. J. Quantum Chem., 46 (1993), 3, pp. 425-474
  31. Koshihara, K., Yuasa, K., Quantum Ergotropy and Quantum Feedback Control, Phys. Rev. E, 107 (2023), 064109
  32. Wang, W., et al., Application of Energy Storage in Integrated Energy Systems - A Solution Fluctuation and Uncertainty of Renewable Energy, J. Energy Storage, 52 (2022), 104812
  33. Deffner, S., Campbell, S., Quantum Speed Limits: from Heisenberg's Uncertainty Principle to Optimal Quantum Control., J. Phys. A: Math. Theor., 50 (2017), 45, 453001
  34. del Campo, A., et al., Quantum Speed Limits in Open System Dynamics, Phys. Rev. Lett., 110 (2013), 5, 050403
  35. Campaioli, F., et al., Colloquium: Quantum Batteries, Rev. Mod. Phys., 96 (2024), 3, 031001
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Quantum battery systems: Analyzing two-mode field charging, qubit interactions, and environmental influences

2025 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence