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Quantum Kinetic Study of Energy Transport During Ultrashort Laser Interaction with Dense Plasmas

Received: 18 June 2026     Accepted: 8 July 2026     Published: 23 October 2026
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Abstract

The interaction of ultrashort femtosecond laser pulses with dense plasma is a fundamental problem in high-energy-density physics, inertial confinement fusion, advanced particle acceleration, and ultrafast photonics. Under conditions of high electron density and ultrashort time scales, classical kinetic models become inadequate because they neglect quantum phenomena such as wave-particle coherence, quantum diffraction, tunnelling, and nonlocal transport. To address these limitations, this study develops a self-consistent quantum kinetic model based on the coupled Wigner-Maxwell framework. Electron dynamics are described using the Wigner distribution function, while the electromagnetic fields are governed by Maxwell’s equations, enabling simultaneous treatment of quantum transport and wave propagation. Analytical formulations are employed to derive the dispersion relation, damping characteristics, and nonlinear evolution equations governing femtosecond laser pulse propagation in dense plasma. The theoretical predictions are validated through numerical simulations performed with realistic plasma and laser parameters representative of contemporary high-intensity laser experiments. The simulations demonstrate significant quantum modifications to wave dispersion, the emergence of multiple resonance branches, and coherence-driven modulation instabilities that are absent in classical descriptions. These quantum effects substantially influence pulse propagation, energy deposition, and plasma stability, leading to altered laser-plasma interaction dynamics. The results establish that quantum kinetic effects play a decisive role in determining the behaviour of ultrashort laser pulses in dense plasma and therefore must be incorporated into predictive models for high-density plasma systems. The proposed Wigner-Maxwell framework provides a rigorous theoretical foundation for investigating quantum laser-plasma interactions and offers valuable guidance for the interpretation and design of experiments at next-generation high-intensity laser facilities.

Published in American Journal of Optics and Photonics (Volume 14, Issue 1)
DOI 10.11648/j.ajop.20261401.12
Page(s) 9-20
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2026. Published by Science Publishing Group

Keywords

Quantum Plasma, Wigner Function, Femtosecond Laser, Nonlocal Transport, Maxwell Coupling, Ultra-short Pulses, Dense Plasma

References
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[2] Macchi, A., Cattani, F., Liseykina, T. V., & Cornolti, F. (2005). Laser acceleration of ion bunches at the front surface of overdense plasmas. Physical Review Letters, 94(16), 165003.
[3] Fonseca, R. A., Silva, L. O., Tsung, F. S., Decyk, V. K., Lu, W., Ren, C., Mori, W. B., Deng, S., Lee, S., Katsouleas, T., & Adam, J. C. (2002/2009). OSIRIS: A three-dimensional, fully relativistic particle-in-cell code for modeling plasma based accelerators. Lecture Notes in Computer Science, 2331, 342-351. Springer.
[4] Manfredi, G. (2005). How to model quantum plasmas. In P. A. Markowich, C. Ringhofer, & C. Schmeiser (Eds.), Quantum transport: Modelling, analysis and asymptotics (Fields Institute Communications, Vol. 46, pp. 263-287). American Mathematical Society.
[5] Haas, F. (2011). Quantum plasmas: An hydrodynamic approach. Springer.
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[7] Gospodchikov, E. D., Balakin, A. A., & Shalashov, A. G. (2024). Wigner function method for electromagnetic wave propagation in plasma-like media with spatial dispersion. Plasma Physics Reports, 50(6), 1-12.
[8] Lee, M.-J., & Jung, Y.-D. (2020). Wigner time-delay effect on polarization interaction in dense semiclassical plasmas. Entropy, 22(12), 1374.
[9] Hebenstreit, F., Ilderton, A., Marklund, M., & Zamanian, J. (2010). Strong field effects in laser pulses: Nonlinear quantum electrodynamics and particle production. Physical Review D, 83(6), 065007.
[10] Tabatabaee, S. M. A., & Sadooghi, N. (2020). Wigner function and kinetic theory for magnetized relativistic plasmas. Physical Review D, 101(7), 076018.
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[13] Hillery, M., O’Connell, R. F., Scully, M. O., & Wigner, E. P. (1984). Distribution functions in physics: Fundamentals. Physics Reports, 106(3), 121-167.
[14] Klimontovich, Y. L. (1982). Kinetic theory of nonideal gases and nonideal plasmas. Pergamon Press.
[15] Shukla, P. K., & Eliasson, B. (2011). Nonlinear aspects of quantum plasma physics. Physics-Uspekhi, 53(1), 51-76.
[16] Marklund, M., & Brodin, G. (2007). Dynamics of quantum plasmas. Physical Review Letters, 98(2), 025001.
[17] Ichimaru, S. (1992). Statistical plasma physics: Volume I: Basic principles. Addison-Wesley.
[18] Giuliani, G. F., & Vignale, G. (2005). Quantum theory of the electron liquid. Cambridge University Press.
[19] Pines, D., & Nozières, P. (1966). The theory of quantum liquids (Vol. 1: Normal Fermi liquids). W. A. Benjamin, Inc.
[20] Kruer, W. L. (2003). The physics of laser plasma interactions. Westview Press.
[21] Bonitz, M. (2016). Quantum kinetic theory (2nd ed.). Springer.
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  • APA Style

    Kumar, P. (2026). Quantum Kinetic Study of Energy Transport During Ultrashort Laser Interaction with Dense Plasmas. American Journal of Optics and Photonics, 14(1), 9-20. https://doi.org/10.11648/j.ajop.20261401.12

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    ACS Style

    Kumar, P. Quantum Kinetic Study of Energy Transport During Ultrashort Laser Interaction with Dense Plasmas. Am. J. Opt. Photonics 2026, 14(1), 9-20. doi: 10.11648/j.ajop.20261401.12

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    AMA Style

    Kumar P. Quantum Kinetic Study of Energy Transport During Ultrashort Laser Interaction with Dense Plasmas. Am J Opt Photonics. 2026;14(1):9-20. doi: 10.11648/j.ajop.20261401.12

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  • @article{10.11648/j.ajop.20261401.12,
      author = {Punit Kumar},
      title = {Quantum Kinetic Study of Energy Transport During Ultrashort Laser Interaction with Dense Plasmas},
      journal = {American Journal of Optics and Photonics},
      volume = {14},
      number = {1},
      pages = {9-20},
      doi = {10.11648/j.ajop.20261401.12},
      url = {https://doi.org/10.11648/j.ajop.20261401.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajop.20261401.12},
      abstract = {The interaction of ultrashort femtosecond laser pulses with dense plasma is a fundamental problem in high-energy-density physics, inertial confinement fusion, advanced particle acceleration, and ultrafast photonics. Under conditions of high electron density and ultrashort time scales, classical kinetic models become inadequate because they neglect quantum phenomena such as wave-particle coherence, quantum diffraction, tunnelling, and nonlocal transport. To address these limitations, this study develops a self-consistent quantum kinetic model based on the coupled Wigner-Maxwell framework. Electron dynamics are described using the Wigner distribution function, while the electromagnetic fields are governed by Maxwell’s equations, enabling simultaneous treatment of quantum transport and wave propagation. Analytical formulations are employed to derive the dispersion relation, damping characteristics, and nonlinear evolution equations governing femtosecond laser pulse propagation in dense plasma. The theoretical predictions are validated through numerical simulations performed with realistic plasma and laser parameters representative of contemporary high-intensity laser experiments. The simulations demonstrate significant quantum modifications to wave dispersion, the emergence of multiple resonance branches, and coherence-driven modulation instabilities that are absent in classical descriptions. These quantum effects substantially influence pulse propagation, energy deposition, and plasma stability, leading to altered laser-plasma interaction dynamics. The results establish that quantum kinetic effects play a decisive role in determining the behaviour of ultrashort laser pulses in dense plasma and therefore must be incorporated into predictive models for high-density plasma systems. The proposed Wigner-Maxwell framework provides a rigorous theoretical foundation for investigating quantum laser-plasma interactions and offers valuable guidance for the interpretation and design of experiments at next-generation high-intensity laser facilities.},
     year = {2026}
    }
    

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  • TY  - JOUR
    T1  - Quantum Kinetic Study of Energy Transport During Ultrashort Laser Interaction with Dense Plasmas
    AU  - Punit Kumar
    Y1  - 2026/10/23
    PY  - 2026
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    DO  - 10.11648/j.ajop.20261401.12
    T2  - American Journal of Optics and Photonics
    JF  - American Journal of Optics and Photonics
    JO  - American Journal of Optics and Photonics
    SP  - 9
    EP  - 20
    PB  - Science Publishing Group
    SN  - 2330-8494
    UR  - https://doi.org/10.11648/j.ajop.20261401.12
    AB  - The interaction of ultrashort femtosecond laser pulses with dense plasma is a fundamental problem in high-energy-density physics, inertial confinement fusion, advanced particle acceleration, and ultrafast photonics. Under conditions of high electron density and ultrashort time scales, classical kinetic models become inadequate because they neglect quantum phenomena such as wave-particle coherence, quantum diffraction, tunnelling, and nonlocal transport. To address these limitations, this study develops a self-consistent quantum kinetic model based on the coupled Wigner-Maxwell framework. Electron dynamics are described using the Wigner distribution function, while the electromagnetic fields are governed by Maxwell’s equations, enabling simultaneous treatment of quantum transport and wave propagation. Analytical formulations are employed to derive the dispersion relation, damping characteristics, and nonlinear evolution equations governing femtosecond laser pulse propagation in dense plasma. The theoretical predictions are validated through numerical simulations performed with realistic plasma and laser parameters representative of contemporary high-intensity laser experiments. The simulations demonstrate significant quantum modifications to wave dispersion, the emergence of multiple resonance branches, and coherence-driven modulation instabilities that are absent in classical descriptions. These quantum effects substantially influence pulse propagation, energy deposition, and plasma stability, leading to altered laser-plasma interaction dynamics. The results establish that quantum kinetic effects play a decisive role in determining the behaviour of ultrashort laser pulses in dense plasma and therefore must be incorporated into predictive models for high-density plasma systems. The proposed Wigner-Maxwell framework provides a rigorous theoretical foundation for investigating quantum laser-plasma interactions and offers valuable guidance for the interpretation and design of experiments at next-generation high-intensity laser facilities.
    VL  - 14
    IS  - 1
    ER  - 

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