Hydrogen Atoms

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R Passante - One of the best experts on this subject based on the ideXlab platform.

  • dispersion interaction between two Hydrogen Atoms in a static electric field
    Physical Review Letters, 2020
    Co-Authors: Giuseppe Fiscelli, Lucia Rizzuto, R Passante
    Abstract:

    : We consider the dispersion interaction between two ground-state Hydrogen Atoms, interacting with the quantum electromagnetic field in the vacuum state, in the presence of an external static electric field, both in the nonretarded and in the retarded Casimir-Polder regime. We show that the presence of the external field strongly modifies the dispersion interaction between the Atoms, changing its space dependence. Moreover, we find that, for specific geometrical configurations of the two Atoms with respect to the external field and/or the relative orientation of the fields acting on the two Atoms, it is possible to change the character of the dispersion force, turning it from attractive to repulsive, or even make it vanishing. This new finding clearly shows the possibility to control and tailor interatomic dispersion interactions through external actions. By a numerical estimate of the field-modified interaction, we show that at typical interatomic distances the change of the interaction's strength can match or even outmatch the unperturbed interaction; this can be obtained for values of the external field that can be currently achieved in the laboratory, and sufficiently weak to be taken into account perturbatively.

  • dispersion interaction between two Hydrogen Atoms in a static electric field
    arXiv: Quantum Physics, 2019
    Co-Authors: Giuseppe Fiscelli, Lucia Rizzuto, R Passante
    Abstract:

    We consider the dispersion interaction between two ground-state Hydrogen Atoms, interacting with the quantum electromagnetic field in the vacuum state, in the presence of an external static electric field, both in the nonretarded and in the retarded Casimir-Polder regime. We show that the presence of the external field strongly modifies the dispersion interaction between the Atoms, changing its space dependence. Moreover, we find that, for specific geometrical configurations of the two Atoms with respect to the external field and/or the relative orientation of the fields acting on the two Atoms, it is possible to change the character of the dispersion force, turning it from attractive to repulsive, and even make it vanishing. This new findings clearly show the possibility to control and tailor interatomic dispersion interactions through external actions. By a numerical estimate of the field-modified interaction, we show that at typical interatomic distances this can be obtained for reasonable values of the external fields, currently achieved in the laboratory.

Giuseppe Fiscelli - One of the best experts on this subject based on the ideXlab platform.

  • dispersion interaction between two Hydrogen Atoms in a static electric field
    Physical Review Letters, 2020
    Co-Authors: Giuseppe Fiscelli, Lucia Rizzuto, R Passante
    Abstract:

    : We consider the dispersion interaction between two ground-state Hydrogen Atoms, interacting with the quantum electromagnetic field in the vacuum state, in the presence of an external static electric field, both in the nonretarded and in the retarded Casimir-Polder regime. We show that the presence of the external field strongly modifies the dispersion interaction between the Atoms, changing its space dependence. Moreover, we find that, for specific geometrical configurations of the two Atoms with respect to the external field and/or the relative orientation of the fields acting on the two Atoms, it is possible to change the character of the dispersion force, turning it from attractive to repulsive, or even make it vanishing. This new finding clearly shows the possibility to control and tailor interatomic dispersion interactions through external actions. By a numerical estimate of the field-modified interaction, we show that at typical interatomic distances the change of the interaction's strength can match or even outmatch the unperturbed interaction; this can be obtained for values of the external field that can be currently achieved in the laboratory, and sufficiently weak to be taken into account perturbatively.

  • dispersion interaction between two Hydrogen Atoms in a static electric field
    arXiv: Quantum Physics, 2019
    Co-Authors: Giuseppe Fiscelli, Lucia Rizzuto, R Passante
    Abstract:

    We consider the dispersion interaction between two ground-state Hydrogen Atoms, interacting with the quantum electromagnetic field in the vacuum state, in the presence of an external static electric field, both in the nonretarded and in the retarded Casimir-Polder regime. We show that the presence of the external field strongly modifies the dispersion interaction between the Atoms, changing its space dependence. Moreover, we find that, for specific geometrical configurations of the two Atoms with respect to the external field and/or the relative orientation of the fields acting on the two Atoms, it is possible to change the character of the dispersion force, turning it from attractive to repulsive, and even make it vanishing. This new findings clearly show the possibility to control and tailor interatomic dispersion interactions through external actions. By a numerical estimate of the field-modified interaction, we show that at typical interatomic distances this can be obtained for reasonable values of the external fields, currently achieved in the laboratory.

L. Ridgway Scott - One of the best experts on this subject based on the ideXlab platform.

  • Van der Waals interactions between two Hydrogen Atoms: The next orders
    2020
    Co-Authors: Eric Cancès, Rafaël Coyaud, L. Ridgway Scott
    Abstract:

    We extend a method (E. Canc\`es and L.R. Scott, SIAM J. Math. Anal., 50, 2018, 381--410) to compute more terms in the asymptotic expansion of the van der Waals attraction between two Hydrogen Atoms. These terms are obtained by solving a set of modified Slater-Kirkwood partial differential equations. The accuracy of the method is demonstrated by numerical simulations and comparison with other methods from the literature. It is also shown that the scattering states of the Hydrogen atom, that are the states associated with the continuous spectrum of the Hamiltonian, have a major contribution to the C$_6$ coefficient of the van der Waals expansion.

  • Van der Waals interactions between two-Hydrogen Atoms : the Slater-Kirkwood method revisited
    2015
    Co-Authors: Eric Cancès, L. Ridgway Scott
    Abstract:

    We examine a technique of Slater and Kirkwood [22] which provides an exact resolution of the asymptotic behavior of the van der Waals attraction between two Hydrogen Atoms. We modify their technique to make the problem more tractable analytically and more easily solvable by numerical methods. Moreover, we prove rigorously that this approach provides an exact solution for the asymptotic electron correlation. The proof makes use of recent results [1] that utilize the Feshbach-Schur perturbation technique. We provide visual representations of the asymptotic electron correlation (entanglement) based on the use of Laguerre approximations.

Lucia Rizzuto - One of the best experts on this subject based on the ideXlab platform.

  • dispersion interaction between two Hydrogen Atoms in a static electric field
    Physical Review Letters, 2020
    Co-Authors: Giuseppe Fiscelli, Lucia Rizzuto, R Passante
    Abstract:

    : We consider the dispersion interaction between two ground-state Hydrogen Atoms, interacting with the quantum electromagnetic field in the vacuum state, in the presence of an external static electric field, both in the nonretarded and in the retarded Casimir-Polder regime. We show that the presence of the external field strongly modifies the dispersion interaction between the Atoms, changing its space dependence. Moreover, we find that, for specific geometrical configurations of the two Atoms with respect to the external field and/or the relative orientation of the fields acting on the two Atoms, it is possible to change the character of the dispersion force, turning it from attractive to repulsive, or even make it vanishing. This new finding clearly shows the possibility to control and tailor interatomic dispersion interactions through external actions. By a numerical estimate of the field-modified interaction, we show that at typical interatomic distances the change of the interaction's strength can match or even outmatch the unperturbed interaction; this can be obtained for values of the external field that can be currently achieved in the laboratory, and sufficiently weak to be taken into account perturbatively.

  • dispersion interaction between two Hydrogen Atoms in a static electric field
    arXiv: Quantum Physics, 2019
    Co-Authors: Giuseppe Fiscelli, Lucia Rizzuto, R Passante
    Abstract:

    We consider the dispersion interaction between two ground-state Hydrogen Atoms, interacting with the quantum electromagnetic field in the vacuum state, in the presence of an external static electric field, both in the nonretarded and in the retarded Casimir-Polder regime. We show that the presence of the external field strongly modifies the dispersion interaction between the Atoms, changing its space dependence. Moreover, we find that, for specific geometrical configurations of the two Atoms with respect to the external field and/or the relative orientation of the fields acting on the two Atoms, it is possible to change the character of the dispersion force, turning it from attractive to repulsive, and even make it vanishing. This new findings clearly show the possibility to control and tailor interatomic dispersion interactions through external actions. By a numerical estimate of the field-modified interaction, we show that at typical interatomic distances this can be obtained for reasonable values of the external fields, currently achieved in the laboratory.

A Asano - One of the best experts on this subject based on the ideXlab platform.