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Beyond single-photon localization at the edge of a photonic band gap

2000/02/18 by Georgios M. Nikolopoulos, P. Lambropoulos · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Atom (system on chip) #Atomic physics #Band gap #Bound state #Excited state #Limit (mathematics) #Mathematics #Photon #Photonic Crystals and Applications #Photonic and Optical Devices #Photonic crystal #Photonics #Physics #Quantum mechanics #Quantum optics and atomic interactions #Spontaneous emission #Superposition principle #Trapping #quant-ph

paper · pdf · doi:10.1103/physreva.61.053812

published as Phys. Rev. A 61, 053812 (2000) · to appear in Physical Review A

arxiv created 2000/02/18 · openalex publication_date 2000/04/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study spontaneous emission in an atomic ladder system, with both transitions coupled near resonantly to the edge of a photonic band gap continuum. The problem is solved through a recently developed technique and leads to the formation of a two-photon + atom bound state with fractional population trapping in both upper states. In the long-time limit, the atom can be found excited in a superposition of the upper states and a direct two-photon process coexists with the stepwise one. The sensitivity of the effect to the particular form of the density of states is also explored.

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