Band Structure and Dynamics of Single Photons in Atomic Lattices

Fuente: arXiv
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Autores principales: Xie, Wenxuan, Schotland, John C.
Formato: Preprint
Publicado: 2025
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author Xie, Wenxuan
Schotland, John C.
author_facet Xie, Wenxuan
Schotland, John C.
contents We present a framework to investigate the collective properties of atomic lattices in one, two, and three dimensions. We analyze the single-photon band structure and associated atomic decay rates, revealing a fundamental dependence on dimensionality. One- and two-dimensional arrays are shown to be inherently radiative, exhibiting band gaps and decay rates that oscillate between superradiant and subradiant regimes, as a function of lattice spacing. In contrast, three-dimensional lattices are found to be fundamentally non-radiative due to the inhibition of spontaneous emission, with decay only at discrete Bragg resonances. Furthermore, we demonstrate that this structural difference dictates the system dynamics, which crosses over from dissipative decay in lower dimensions to coherent transport in three dimensions. Our results provide insight into cooperative effects in atomic arrays at the single-photon level.
format Preprint
id arxiv_https___arxiv_org_abs_2512_24596
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Band Structure and Dynamics of Single Photons in Atomic Lattices
Xie, Wenxuan
Schotland, John C.
Quantum Physics
Optics
We present a framework to investigate the collective properties of atomic lattices in one, two, and three dimensions. We analyze the single-photon band structure and associated atomic decay rates, revealing a fundamental dependence on dimensionality. One- and two-dimensional arrays are shown to be inherently radiative, exhibiting band gaps and decay rates that oscillate between superradiant and subradiant regimes, as a function of lattice spacing. In contrast, three-dimensional lattices are found to be fundamentally non-radiative due to the inhibition of spontaneous emission, with decay only at discrete Bragg resonances. Furthermore, we demonstrate that this structural difference dictates the system dynamics, which crosses over from dissipative decay in lower dimensions to coherent transport in three dimensions. Our results provide insight into cooperative effects in atomic arrays at the single-photon level.
title Band Structure and Dynamics of Single Photons in Atomic Lattices
topic Quantum Physics
Optics
url https://arxiv.org/abs/2512.24596