Single-Photon Behavior in Atomic Lattices

This paper investigates the behavior of single photons within atomic lattices, focusing on how the dimensionality of the lattice (1D, 2D, or 3D) affects the photon's band structure, decay rates, and overall dynamics. The research is significant because it provides insights into cooperative effects in atomic arrays at the single-photon level, potentially impacting quantum information processing and other related fields. The paper highlights the crucial role of dimensionality in determining whether the system is radiative or non-radiative, and how this impacts the system's dynamics, transitioning from dissipative decay to coherent transport.