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Quantum information-theoretical analysis on the two-photon transitions in hydrogen isoelectronic ions under plasma confinement

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Abstract

Quantum information-theoretical measure in terms of Shannon and Fisher entropy in conjugate position and momentum spaces provides important information about the localization/delocalization patterns of the inter-atomic charge density under arbitrary confining environments. In this article, we have attempted to employ such measures to the ground, excited, and the virtual states arising out of two-photon transitions (\(1s\rightarrow nl\); \(n=2-4\), \(l=0,2\)) of weakly coupled classical plasma embedded H iso-electronic ions (nuclear charge, \(Z = 2 - 5\)). The wavefunction for the said states is essentially a linear combination of the Slater-type orbitals, the coefficients of which are generated from a fourth-order time-dependent perturbation theory within the variational framework. A complementary nature has been noted in the Shannon and Fisher measures versus the plasma screening parameter plot in the conjugate spaces. A novel scaling law has been proposed to replicate the variation of the Shannon and Fisher entropy w.r.t. Z for the virtual as well as real 2p states of free and plasma confined ions.

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“This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All the data generated for this work is displayed in the article.]

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Acknowledgements

SM is grateful for the financial help from IISER Kolkata. PKM thanks the Alexander von Humboldt foundation for a fellowship to stay at the University of Kassel and the research group there for their kind hospitality. JKS acknowledges partial financial support from the Science and Engineering Research Board (SERB), Govt. of India under file number CRG/2022/003547.

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Authors and Affiliations

  1. Department of Chemical Sciences, IISER Kolkata, Mohanpur, Nadia, 741246, India

    S. Mondal

  2. Ramakrishna Mission Vivekananda Centenary College, Rahara, Kolkata, West Bengal, 700118, India

    S. K. Chaudhuri

  3. Department of Physics, Aliah University, IIA/27, Newtown, Kolkata, 700160, India

    J. K. Saha

  4. Department of Physics, School of Mathematical Sciences, Ramakrishna Mission Vivekananda Educational and Research Institute, Belur Math, Howrah, 711202, India

    P. K. Mukherjee

  5. Department of Physics, Acharya Prafulla Chandra College, New Barrackpore, Kolkata, 700131, India

    P. K. Mukherjee

  6. Institut für Physik, Universität Kassel, 34109, Kassel, Germany

    B. Fricke

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Mondal, S., Chaudhuri, S.K., Saha, J.K. et al. Quantum information-theoretical analysis on the two-photon transitions in hydrogen isoelectronic ions under plasma confinement. Eur. Phys. J. D 78, 61 (2024). https://doi.org/10.1140/epjd/s10053-024-00840-8

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