Collective effect of single-photon scattering on the three-level atomic array

¹ School of Science, Changchun University - Changchun 130022, China
² Institute for Interdisciplinary Quantum Information Technology, Jilin Engineering Normal University Changchun 130052, China
³ Jilin Engineering Laboratory for Quantum Information Technology - Changchun 130052, China
⁴ Key Laboratory of Materials Design and Quantum Simulation, Changchun University - Changchun 130022, China

^(a) ccdxslj@126.com

Received: 6 August 2018
Accepted: 19 October 2018

Abstract

From the viewpoint of single-photon scattering, we investigate the collective effect of an alignment of periodically distributed V-type three-level atoms. The electromagnetic field in the free space induces the transitions between the ground state and both of the excited states, and the single-photon scattering process is formulated by the Lippmann-Schwinger equation approach. We study the reflection spectrum and find that the Lamb shift, which is induced by the collective effect of the periodically aligned atoms, is sensitive to the atomic density. Moreover, the interference between two transition channels leads to an asymmetry double-peak reflection spectrum. All of our results can be explained from the singular points of the amplitudes of the atomic excitations. Our work may be helpful to understand the recent experimental results in high-energy-photon scattering on layered nuclei materials.