Collective effects of multi-scatterer on coherent propagation of photon in a two dimensional network

Abstract

We study the collective phenomenon in the scattering of a single-photon by one or two layers of two-level atoms. By modeling the photon dispersion with a two-dimensional (2D) coupled cavity array, we analytically derive the scattering probability of a single-photon. It is discovered that in the case with one layer of atoms, the atomic collective excitation leads to a shift for the single-photon scattering spectrum. Such a shift is related to the density of the atomic ensemble. For the case with two layers of atoms, an inter-layer effective coupling appears and induces an electromagnetic-induced-transparency-like phenomenon for the single-photon scattering. Our result provides a new scheme of analyzing photon coherent transport in 2D and may help to understand the current experiments about the high energy photon scattering by the layer nuclei material.

9 pages, 6 figures

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Cited by in corpus (10)

• Controllable single-photon frequency converter via a one-dimensional waveguide
• Recoil effects of a motional scatterer on single-photon scattering in one dimension
• Collective effects between multiple nuclear ensembles in an x-ray cavity-QED setup
• Multi-mode effects in cavity QED based on a one-dimensional cavity array
• Electromagnetically Induced Transparency with Superradiant and Subradiant states
• Multidimensional super- and subradiance in waveguide quantum electrodynamics
• Nonequilibrium steady state transport of collective-qubit system in strong coupling regime
• Universal trapping law induced by atomic cloud in single-photon cooperative dynamics
• Exact dynamics and bound states of a cavity coupled to a two-dimensional reservoir
• Configuration dependent reflection induced by dissipated localized modes