Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2024

Nonlocality of the energy density of a spontaneously emitted single-photon from a Hydrogen atom

Résumé

Abstract We analyze through the expectation value of the energy density the spatial nonlocality of single photons emitted by the spontaneous decay of a Hydrogen atom. By using a minimal coupling between the quantized electromagnetic field and the atom, we compute the state of the photon under the assumption that only a single-photon is produced. The calculations are thus performed in the subspace of single-photon states which is essentially equivalent to the rotating wave approximation. We obtain a characterization of the spatial decay of the energy density. We compute the asymptotic limit of large distances from the atom at each given time, and find an algebraic behavior of 1 / r 6 . This result confirms that the energy density of single-photon states is nonlocal and the algebraic decay is far from the maximal quasiexponential localization predicted by the theory.
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hal-04906021 , version 1 (22-01-2025)

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M Federico, H R Jauslin. Nonlocality of the energy density of a spontaneously emitted single-photon from a Hydrogen atom. Journal of Physics A: Mathematical and Theoretical, 2024, 58 (1), pp.015304. ⟨10.1088/1751-8121/ad97fa⟩. ⟨hal-04906021⟩
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