Quantum Hall phases emerging from atom–photon interactions

Abstract We reveal the emergence of quantum Hall phases, topological edge states, spectral Landau levels, and Hofstadter butterfly spectra in the two-particle Hilbert space of an array of periodically spaced two-level atoms coupled to a waveguide (waveguide quantum electrodynamics). While the topolo...

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Autores principales:	Alexander V. Poshakinskiy, Janet Zhong, Yongguan Ke, Nikita A. Olekhno, Chaohong Lee, Yuri S. Kivshar, Alexander N. Poddubny
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95
Acceso en línea:	https://doaj.org/article/a778e3e464024577b6cea6be6bbe772d
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id	oai:doaj.org-article:a778e3e464024577b6cea6be6bbe772d
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spelling	oai:doaj.org-article:a778e3e464024577b6cea6be6bbe772d2021-12-02T12:11:35ZQuantum Hall phases emerging from atom–photon interactions10.1038/s41534-021-00372-82056-6387https://doaj.org/article/a778e3e464024577b6cea6be6bbe772d2021-02-01T00:00:00Zhttps://doi.org/10.1038/s41534-021-00372-8https://doaj.org/toc/2056-6387Abstract We reveal the emergence of quantum Hall phases, topological edge states, spectral Landau levels, and Hofstadter butterfly spectra in the two-particle Hilbert space of an array of periodically spaced two-level atoms coupled to a waveguide (waveguide quantum electrodynamics). While the topological edge states of photons require fine-tuned spatial or temporal modulations of the parameters to generate synthetic magnetic fields and the quantum Hall effect, here we demonstrate that a synthetic magnetic field can be self-induced solely by atom–photon interactions. The fact that topological order can be self-induced in what is arguably the simplest possible quantum structure shows the richness of these waveguide quantum electrodynamics systems. We believe that our findings will advance several research disciplines including quantum optics, many-body physics, and nonlinear topological photonics, and that it will set an important reference point for the future experiments on qubit arrays and quantum simulators.Alexander V. PoshakinskiyJanet ZhongYongguan KeNikita A. OlekhnoChaohong LeeYuri S. KivsharAlexander N. PoddubnyNature PortfolioarticlePhysicsQC1-999Electronic computers. Computer scienceQA75.5-76.95ENnpj Quantum Information, Vol 7, Iss 1, Pp 1-8 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95
spellingShingle	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95 Alexander V. Poshakinskiy Janet Zhong Yongguan Ke Nikita A. Olekhno Chaohong Lee Yuri S. Kivshar Alexander N. Poddubny Quantum Hall phases emerging from atom–photon interactions
description	Abstract We reveal the emergence of quantum Hall phases, topological edge states, spectral Landau levels, and Hofstadter butterfly spectra in the two-particle Hilbert space of an array of periodically spaced two-level atoms coupled to a waveguide (waveguide quantum electrodynamics). While the topological edge states of photons require fine-tuned spatial or temporal modulations of the parameters to generate synthetic magnetic fields and the quantum Hall effect, here we demonstrate that a synthetic magnetic field can be self-induced solely by atom–photon interactions. The fact that topological order can be self-induced in what is arguably the simplest possible quantum structure shows the richness of these waveguide quantum electrodynamics systems. We believe that our findings will advance several research disciplines including quantum optics, many-body physics, and nonlinear topological photonics, and that it will set an important reference point for the future experiments on qubit arrays and quantum simulators.
format	article
author	Alexander V. Poshakinskiy Janet Zhong Yongguan Ke Nikita A. Olekhno Chaohong Lee Yuri S. Kivshar Alexander N. Poddubny
author_facet	Alexander V. Poshakinskiy Janet Zhong Yongguan Ke Nikita A. Olekhno Chaohong Lee Yuri S. Kivshar Alexander N. Poddubny
author_sort	Alexander V. Poshakinskiy
title	Quantum Hall phases emerging from atom–photon interactions
title_short	Quantum Hall phases emerging from atom–photon interactions
title_full	Quantum Hall phases emerging from atom–photon interactions
title_fullStr	Quantum Hall phases emerging from atom–photon interactions
title_full_unstemmed	Quantum Hall phases emerging from atom–photon interactions
title_sort	quantum hall phases emerging from atom–photon interactions
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/a778e3e464024577b6cea6be6bbe772d
work_keys_str_mv	AT alexandervposhakinskiy quantumhallphasesemergingfromatomphotoninteractions AT janetzhong quantumhallphasesemergingfromatomphotoninteractions AT yongguanke quantumhallphasesemergingfromatomphotoninteractions AT nikitaaolekhno quantumhallphasesemergingfromatomphotoninteractions AT chaohonglee quantumhallphasesemergingfromatomphotoninteractions AT yuriskivshar quantumhallphasesemergingfromatomphotoninteractions AT alexandernpoddubny quantumhallphasesemergingfromatomphotoninteractions
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Quantum Hall phases emerging from atom–photon interactions

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