Topological quantum electrodynamics in synthetic non-Abelian gauge fields

Fuente: arXiv
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Main Authors: Huang, Qinan, Wong, Bengy T. T., Pang, Zehai, Zhang, Xudong, Chen, Zeling, Yang, Yi
Format: Preprint
Published: 2025
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author Huang, Qinan
Wong, Bengy T. T.
Pang, Zehai
Zhang, Xudong
Chen, Zeling
Yang, Yi
author_facet Huang, Qinan
Wong, Bengy T. T.
Pang, Zehai
Zhang, Xudong
Chen, Zeling
Yang, Yi
contents Quantum electrodynamics (QED), a cornerstone framework that describes light-matter interactions rooted in Abelian symmetries, renders the harnessing of synthetic non-Abelian gauge fields as a fundamental yet uncharted frontier. Here, we develop a general theory of light-matter interaction of quantum emitters embedded in non-Abelian photonic lattices. Based on analytical solutions to the non-Abelian Landau dressed states beyond the continuum limit, we reveal chiral photon emission and vortices with emergent nonreciprocity enabled by selective coupling between emitters and spin-momentum-locked bands. When coexisting with Abelian and non-Abelian magnetic fields, emitters hybridize with Landau dressed orbits to form spin-polarized, squeezed Landau polaritons that carry quantized angular momenta, with Rabi frequencies tunable via Landau levels and pseudospin interactions. Multi-emitter dynamics further exhibit collective phenomena governed by real-space staggered phases induced by nonsymmorphic crystalline symmetry. These results bridge non-Abelian physics with quantum optics, and establish non-Abelian gauge fields as a versatile tool for synthesizing topological quantum optical states, angular momentum transfer, and controlling photon-mediated correlations in QED systems, relevant for applications in quantum simulations and chiral quantum optical networks.
format Preprint
id arxiv_https___arxiv_org_abs_2508_07669
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Topological quantum electrodynamics in synthetic non-Abelian gauge fields
Huang, Qinan
Wong, Bengy T. T.
Pang, Zehai
Zhang, Xudong
Chen, Zeling
Yang, Yi
Optics
Mesoscale and Nanoscale Physics
Quantum Physics
Quantum electrodynamics (QED), a cornerstone framework that describes light-matter interactions rooted in Abelian symmetries, renders the harnessing of synthetic non-Abelian gauge fields as a fundamental yet uncharted frontier. Here, we develop a general theory of light-matter interaction of quantum emitters embedded in non-Abelian photonic lattices. Based on analytical solutions to the non-Abelian Landau dressed states beyond the continuum limit, we reveal chiral photon emission and vortices with emergent nonreciprocity enabled by selective coupling between emitters and spin-momentum-locked bands. When coexisting with Abelian and non-Abelian magnetic fields, emitters hybridize with Landau dressed orbits to form spin-polarized, squeezed Landau polaritons that carry quantized angular momenta, with Rabi frequencies tunable via Landau levels and pseudospin interactions. Multi-emitter dynamics further exhibit collective phenomena governed by real-space staggered phases induced by nonsymmorphic crystalline symmetry. These results bridge non-Abelian physics with quantum optics, and establish non-Abelian gauge fields as a versatile tool for synthesizing topological quantum optical states, angular momentum transfer, and controlling photon-mediated correlations in QED systems, relevant for applications in quantum simulations and chiral quantum optical networks.
title Topological quantum electrodynamics in synthetic non-Abelian gauge fields
topic Optics
Mesoscale and Nanoscale Physics
Quantum Physics
url https://arxiv.org/abs/2508.07669