Cavity quantum electrodynamics for a cylinder

Inside a hollow dielectric and near a solid dielectric cylinder

Hyunchul Nha, W. Jhe

Research output: Contribution to journalArticle

71 Citations (Scopus)

Abstract

We calculate the atomic energy-level shift and the modified dipolar radiation rate inside a hollow dielectric cylinder and outside a solid cylinder using a quantum-mechanical linear-response formalism in the dipole approximation. We first derive the electromagnetic fields scattered by the cylindrical surface for an oscillating dipole inside and outside the cylinder. When an atom is located on the axis of the cylindrical hollow, we obtain analytic expressions of the atomic level shifts in two limiting cases: when b (radius of hollow) is very small, the level shift is proportional to b-2 which is associated with the kinetic-energy change of the atomic electron, whereas when b is very large, the shift is proportional to b-4 which is identified as the retarded (Casimir-Polder) interaction energy. Moreover, we calculate the atomic potentials as a function of the position of atoms in the hollow region, which is important for the atom-guiding experiment. We also calculate the decay rates and find enhanced rates inside and outside the cylinder. In particular, we compare the radiative properties of an atom inside the hollow cylinder with those between two plates, and those near a cylinder with near a single surface.

Original languageEnglish
Pages (from-to)2213-2220
Number of pages8
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume56
Issue number3
Publication statusPublished - 1997
Externally publishedYes

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quantum electrodynamics
hollow
cavities
shift
atoms
dipoles
atomic energy levels
decay rates
electromagnetic fields
kinetic energy
formalism
radii
radiation
approximation
electrons
interactions

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

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abstract = "We calculate the atomic energy-level shift and the modified dipolar radiation rate inside a hollow dielectric cylinder and outside a solid cylinder using a quantum-mechanical linear-response formalism in the dipole approximation. We first derive the electromagnetic fields scattered by the cylindrical surface for an oscillating dipole inside and outside the cylinder. When an atom is located on the axis of the cylindrical hollow, we obtain analytic expressions of the atomic level shifts in two limiting cases: when b (radius of hollow) is very small, the level shift is proportional to b-2 which is associated with the kinetic-energy change of the atomic electron, whereas when b is very large, the shift is proportional to b-4 which is identified as the retarded (Casimir-Polder) interaction energy. Moreover, we calculate the atomic potentials as a function of the position of atoms in the hollow region, which is important for the atom-guiding experiment. We also calculate the decay rates and find enhanced rates inside and outside the cylinder. In particular, we compare the radiative properties of an atom inside the hollow cylinder with those between two plates, and those near a cylinder with near a single surface.",
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T1 - Cavity quantum electrodynamics for a cylinder

T2 - Inside a hollow dielectric and near a solid dielectric cylinder

AU - Nha, Hyunchul

AU - Jhe, W.

PY - 1997

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N2 - We calculate the atomic energy-level shift and the modified dipolar radiation rate inside a hollow dielectric cylinder and outside a solid cylinder using a quantum-mechanical linear-response formalism in the dipole approximation. We first derive the electromagnetic fields scattered by the cylindrical surface for an oscillating dipole inside and outside the cylinder. When an atom is located on the axis of the cylindrical hollow, we obtain analytic expressions of the atomic level shifts in two limiting cases: when b (radius of hollow) is very small, the level shift is proportional to b-2 which is associated with the kinetic-energy change of the atomic electron, whereas when b is very large, the shift is proportional to b-4 which is identified as the retarded (Casimir-Polder) interaction energy. Moreover, we calculate the atomic potentials as a function of the position of atoms in the hollow region, which is important for the atom-guiding experiment. We also calculate the decay rates and find enhanced rates inside and outside the cylinder. In particular, we compare the radiative properties of an atom inside the hollow cylinder with those between two plates, and those near a cylinder with near a single surface.

AB - We calculate the atomic energy-level shift and the modified dipolar radiation rate inside a hollow dielectric cylinder and outside a solid cylinder using a quantum-mechanical linear-response formalism in the dipole approximation. We first derive the electromagnetic fields scattered by the cylindrical surface for an oscillating dipole inside and outside the cylinder. When an atom is located on the axis of the cylindrical hollow, we obtain analytic expressions of the atomic level shifts in two limiting cases: when b (radius of hollow) is very small, the level shift is proportional to b-2 which is associated with the kinetic-energy change of the atomic electron, whereas when b is very large, the shift is proportional to b-4 which is identified as the retarded (Casimir-Polder) interaction energy. Moreover, we calculate the atomic potentials as a function of the position of atoms in the hollow region, which is important for the atom-guiding experiment. We also calculate the decay rates and find enhanced rates inside and outside the cylinder. In particular, we compare the radiative properties of an atom inside the hollow cylinder with those between two plates, and those near a cylinder with near a single surface.

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