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Title: 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:
ORCiD logo [1];  [1];  [1];  [2]; ORCiD logo [3]
  1. Universidade Federal do Rio de Janeiro (Brazil)
  2. Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro (Brazil)
  3. 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
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. doi: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. doi:10.1103/PhysRevA.100.023818.
@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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Works referenced in this record:

The Quantum Theory of the Emission and Absorption of Radiation
journal, March 1927

  • Dirac, P. A. M.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 114, Issue 767
  • DOI: 10.1098/rspa.1927.0039

Über Elementarakte mit zwei Quantensprüngen
journal, January 1931


Improved Measurement of the Hydrogen 1 S 2 S Transition Frequency
journal, November 2011


New Limits on the Drift of Fundamental Constants from Laboratory Measurements
journal, June 2004


Testing electron boost invariance with 2 S 1 S hydrogen spectroscopy
journal, February 2010


Characterization of the 1S–2S transition in antihydrogen
journal, April 2018


Metastability of Hydrogen and Helium Levels.
journal, January 1940

  • Breit, G.; Teller, E.
  • The Astrophysical Journal, Vol. 91
  • DOI: 10.1086/144158

Continuous Emission from Planetary Nebulae
journal, July 1951

  • Spitzer, Lyman, Jr.; Greenstein, Jesse L.
  • The Astrophysical Journal, Vol. 114
  • DOI: 10.1086/145480

Metastability of 2 s States of Hydrogenic Atoms
journal, January 1959


Direct Detection of Two-Photon Emission from the Metastable State of Singly Ionized Helium
journal, October 1965


Measurement of the decay-probability of metastable hydrogen by two-photon emission
journal, September 1975


Two-Photon X-Ray Emission from Inner-Shell Transitions
journal, August 1982


High-rate entanglement source via two-photon emission from semiconductor quantum wells
journal, July 2007


Observation of two-photon emission from semiconductors
journal, March 2008


On the path to entanglement
journal, April 2008


Spontaneous Two-Photon Emission from a Single Quantum Dot
journal, November 2011


Plasmonic Nanoantennas for Broad-Band Enhancement of Two-Photon Emission from Semiconductors
journal, May 2010

  • Nevet, Amir; Berkovitch, Nikolai; Hayat, Alex
  • Nano Letters, Vol. 10, Issue 5
  • DOI: 10.1021/nl1005806

Tailoring and enhancing spontaneous two-photon emission using resonant plasmonic nanostructures
journal, September 2012


Proceedings of the American Physical Society
journal, June 1946


Shrinking light to allow forbidden transitions on the atomic scale
journal, July 2016


Making two-photon processes dominate one-photon processes using mid-IR phonon polaritons
journal, December 2017

  • Rivera, Nicholas; Rosolen, Gilles; Joannopoulos, John D.
  • Proceedings of the National Academy of Sciences, Vol. 114, Issue 52
  • DOI: 10.1073/pnas.1713538114

Spontaneous emission in the presence of a dielectric slab
journal, August 1995


Completeness of evanescent modes in layered dielectrics
journal, April 2009


Casimir-Polder interaction between an atom and a dielectric slab
journal, September 2009


Interaction of an atom with layered dielectrics
journal, December 2010


Spontaneous Emission from Photonic Crystals: Full Vectorial Calculations
journal, May 2000


Guided modes in photonic crystal slabs
journal, August 1999

  • Johnson, Steven G.; Fan, Shanhui; Villeneuve, Pierre R.
  • Physical Review B, Vol. 60, Issue 8
  • DOI: 10.1103/PhysRevB.60.5751

Quantum electrodynamics of an atom in front of a non–dispersive dielectric half–space
journal, July 1999

  • Wu, Shin-Tza; Eberlein, Claudia
  • Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 455, Issue 1987
  • DOI: 10.1098/rspa.1999.0413

Spontaneous emission rate of an excited atom placed near a nanofiber
journal, January 2004


Retarded Casimir-Polder force on an atom near reflecting microstructures
journal, July 2009


Spontaneous emission in the presence of a spherical plasmonic metamaterial
journal, February 2013


Spontaneous emission between mirrors
journal, October 1973


The calculation of hamaker constants from liftshitz theory with applications to wetting phenomena
journal, December 1980


Quantum Electrodynamics of Spinless Particles between Conducting Plates
journal, December 1970

  • Barton, G.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 320, Issue 1541
  • DOI: 10.1098/rspa.1970.0208

Inhibited Spontaneous Emission by a Rydberg Atom
journal, November 1985


Systematic study of 1s - ns and 1s - nd two-photon transitions of hydrogenlike atoms
journal, September 1987