Quantum two-photon emission in a photonic cavity
Abstract
In this paper, we derive an expression for the two-photon spontaneous emission (TPSE) rate of an excited quantum emitter in the presence of arbitrary bodies in its vicinities. After investigating the influence of a perfectly conducting plate on the TPSE spectral distribution (Purcell effect), we demonstrate the equivalence of our expression with the more usual formula written in terms of the corresponding dyadic Green's function. We establish a convenient relation between the TPSE spectral distribution and the corresponding Purcell factors of the system. Next, we consider an emitter close to a dielectric medium and show that, in the near-field regime, the TPSE spectral distribution is substantially enhanced and changes abruptly at the resonance frequencies. Finally, motivated by the suppression that may occur in the one-photon spontaneous emission of an excited atom between two parallel conducting plates, we discuss the TPSE for this same situation and show that complete suppression can never occur for s → s transitions.
- Authors:
-
[1];
[3]
- Universidade Federal do Rio de Janeiro (Brazil)
- Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro (Brazil)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Laboratory Directed Research and Development (LDRD) Program
- OSTI Identifier:
- 1570641
- Alternate Identifier(s):
- OSTI ID: 1556828
- Report Number(s):
- LA-UR-19-21860
Journal ID: ISSN 2469-9926; PLRAAN; TRN: US2100022
- Grant/Contract Number:
- 89233218CNA000001
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A
- Additional Journal Information:
- Journal Volume: 100; Journal Issue: 2; Journal ID: ISSN 2469-9926
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS
Citation Formats
Muniz de Souza, Yuri, Rosa, Felipe, Farina, Carlos, Szilard, Daniela, and de Melo Kort-Kamp, Wilton Junior. Quantum two-photon emission in a photonic cavity. United States: N. p., 2019.
Web. doi:10.1103/PhysRevA.100.023818.
Muniz de Souza, Yuri, Rosa, Felipe, Farina, Carlos, Szilard, Daniela, & de Melo Kort-Kamp, Wilton Junior. Quantum two-photon emission in a photonic cavity. United States. https://doi.org/10.1103/PhysRevA.100.023818
Muniz de Souza, Yuri, Rosa, Felipe, Farina, Carlos, Szilard, Daniela, and de Melo Kort-Kamp, Wilton Junior. Mon .
"Quantum two-photon emission in a photonic cavity". United States. https://doi.org/10.1103/PhysRevA.100.023818. https://www.osti.gov/servlets/purl/1570641.
@article{osti_1570641,
title = {Quantum two-photon emission in a photonic cavity},
author = {Muniz de Souza, Yuri and Rosa, Felipe and Farina, Carlos and Szilard, Daniela and de Melo Kort-Kamp, Wilton Junior},
abstractNote = {In this paper, we derive an expression for the two-photon spontaneous emission (TPSE) rate of an excited quantum emitter in the presence of arbitrary bodies in its vicinities. After investigating the influence of a perfectly conducting plate on the TPSE spectral distribution (Purcell effect), we demonstrate the equivalence of our expression with the more usual formula written in terms of the corresponding dyadic Green's function. We establish a convenient relation between the TPSE spectral distribution and the corresponding Purcell factors of the system. Next, we consider an emitter close to a dielectric medium and show that, in the near-field regime, the TPSE spectral distribution is substantially enhanced and changes abruptly at the resonance frequencies. Finally, motivated by the suppression that may occur in the one-photon spontaneous emission of an excited atom between two parallel conducting plates, we discuss the TPSE for this same situation and show that complete suppression can never occur for s → s transitions.},
doi = {10.1103/PhysRevA.100.023818},
journal = {Physical Review A},
number = 2,
volume = 100,
place = {United States},
year = {2019},
month = {8}
}
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Figures / Tables:
FIG. 1: Spectral density function γ(ω; z) of an emitter near a perfect mirror in terms of the dimensionless variable ω/ωeg for three different values of z. We also plot the spectral density function in free space (solid line).
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