Nonlocality of the energy density of a spontaneously emitted single-photon from a Hydrogen atom
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917887218810880 |
|---|---|
| author | Federico, Maxime Jauslin, Hans-Rudolf |
| author_facet | Federico, Maxime Jauslin, Hans-Rudolf |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_13622 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonlocality of the energy density of a spontaneously emitted single-photon from a Hydrogen atom Federico, Maxime Jauslin, Hans-Rudolf Quantum Physics 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. |
| title | Nonlocality of the energy density of a spontaneously emitted single-photon from a Hydrogen atom |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2403.13622 |