Long‐Range Interparticle Interactions

Salam, A.

doi:10.1002/9781119148739.ch2

Cited by 2 publications

(2 citation statements)

References 145 publications

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“…are the distances between the atoms [22]. Equation (36) coincides with the known expression of the three-body component of the dispersion interaction as obtained by a standard sixth-order perturbative approach [11,[44][45][46], or also by field energy density considerations [47,48] or using effective Hamiltonians [12,49]. Our approach, however, gives a clear physical insight on the origin of the nonadditive nature of such interactions, stressing the fundamental role played by dressed spatial correlations of vacuum fluctuations.…”

Section: Three-body Dispersion Interactionssupporting

confidence: 67%

“…Secondly, although (46) vanishes if each atom is outside the causality sphere of the other two, i.e., α, β, γ > ct, it nevertheless shows relevant nonlocal aspects: for example, for times such that one atom (A, for example) is not causally connected with the other two atoms (B and C), while B and C are causally connected to each other, situation represented by the conditions β > ct, γ > ct, α < ct, the dynamical three-body interaction (45) is not vanishing. In other word, this observable interaction energy manifests a nonlocal behavior, ultimately related to the nonlocal features of the dynamical spatial correlations of the electric field, since it is not vanishing even if one atom is outside the causality sphere of the other two [13,51].…”

Section: Dynamical Three-body Casimir-polder Interactionsmentioning

confidence: 99%

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Nonlocal Static and Dynamical Vacuum Field Correlations and Casimir–Polder Interactions

Passante,

Rizzuto

2023

Entropy

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In this review, we investigate several aspects and features of spatial field correlations for the massless scalar field and the electromagnetic field, both in stationary and nonstationary conditions, and show how they manifest in two- and many-body static and dynamic dispersion interactions (van der Waals and Casimir–Polder). We initially analyze the spatial field correlations for noninteracting fields, stressing their nonlocal behavior, and their relation to two-body dispersion interactions. We then consider how field correlations are modified by the presence of a field source, such as an atom or in general a polarizable body, firstly in a stationary condition and then in a dynamical condition, starting from a nonstationary state. We first evaluate the spatial field correlation for the electric field in the stationary case, in the presence of a ground-state or excited-state atom, and then we consider its time evolution in the case of an initially nonstationary state. We discuss in detail their nonlocal features, in both stationary and nonstationary conditions. We then explicitly show how the nonlocality of field correlations can manifest itself in van der Waals and Casimir–Polder interactions between atoms, both in static and dynamic situations. We discuss how this can allow us to indirectly probe the existence and the properties of nonlocal vacuum field correlations of the electromagnetic field, a research subject of strong actual interest, also in consequence of recent measurements of spatial field correlations exploiting electro-optical sampling techniques. The subtle and intriguing relation between nonlocality and causality is also discussed.

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Section: Three-body Dispersion Interactionssupporting

confidence: 67%

Section: Dynamical Three-body Casimir-polder Interactionsmentioning

confidence: 99%

Nonlocal Static and Dynamical Vacuum Field Correlations and Casimir–Polder Interactions

Passante,

Rizzuto

2023

Entropy

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The Unified Theory of Resonance Energy Transfer According to Molecular Quantum Electrodynamics

Salam

2018

Atoms

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An overview is given of the molecular quantum electrodynamical (QED) theory of resonance energy transfer (RET). In this quantized radiation field description, RET arises from the exchange of a single virtual photon between excited donor and unexcited acceptor species. Diagrammatic time-dependent perturbation theory is employed to calculate the transfer matrix element, from which the migration rate is obtained via the Fermi golden rule. Rate formulae for oriented and isotropic systems hold for all pair separation distances, R, beyond wave function overlap. The two well-known mechanisms associated with migration of energy, namely the R−6 radiationless transfer rate due to Förster and the R−2 radiative exchange, correspond to near- and far-zone asymptotes of the general result. Discriminatory pair transfer rates are also presented. The influence of an environment is accounted for by invoking the polariton, which mediates exchange and by introducing a complex refractive index to describe local field and screening effects. This macroscopic treatment is compared and contrasted with a microscopic analysis in which the role of a neutral, polarizable and passive third-particle in mediating transfer of energy is considered. Three possible coupling mechanisms arise, each requiring summation over 24 time-ordered diagrams at fourth-order of perturbation theory with the total rate being a sum of two- and various three-body terms.

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Long‐Range Interparticle Interactions

Cited by 2 publications

References 145 publications

Nonlocal Static and Dynamical Vacuum Field Correlations and Casimir–Polder Interactions

Nonlocal Static and Dynamical Vacuum Field Correlations and Casimir–Polder Interactions

The Unified Theory of Resonance Energy Transfer According to Molecular Quantum Electrodynamics

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