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

• URL: http://arxiv.org/abs/2403.13622v1
• Date: Wed, 20 Mar 2024 14:15:18 GMT
• Title: Nonlocality of the energy density of a spontaneously emitted single-photon from a Hydrogen atom
• Authors: Maxime Federico, Hans-Rudolf Jauslin,
• Abstract summary: We analyze 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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