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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2021-02-01
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Online Access: | https://doi.org/10.1038/s41534-021-00372-8 |
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doaj-a778e3e464024577b6cea6be6bbe772d2021-02-21T12:47:15ZengNature Publishing Groupnpj Quantum Information2056-63872021-02-01711810.1038/s41534-021-00372-8Quantum Hall phases emerging from atom–photon interactionsAlexander V. Poshakinskiy0Janet Zhong1Yongguan Ke2Nikita A. Olekhno3Chaohong Lee4Yuri S. Kivshar5Alexander N. Poddubny6Ioffe InstituteNonlinear Physics Centre, Research School of Physics, Australian National UniversityNonlinear Physics Centre, Research School of Physics, Australian National UniversityITMO UniversityGuangdong Provincial Key Laboratory of Quantum Metrology and Sensing & School of Physics and Astronomy, Sun Yat-Sen University (Zhuhai Campus)Nonlinear Physics Centre, Research School of Physics, Australian National UniversityIoffe InstituteAbstract 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.https://doi.org/10.1038/s41534-021-00372-8 |
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DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Alexander V. Poshakinskiy Janet Zhong Yongguan Ke Nikita A. Olekhno Chaohong Lee Yuri S. Kivshar Alexander N. Poddubny |
spellingShingle |
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 npj Quantum Information |
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 Publishing Group |
series |
npj Quantum Information |
issn |
2056-6387 |
publishDate |
2021-02-01 |
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. |
url |
https://doi.org/10.1038/s41534-021-00372-8 |
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