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Quantum Hall phases emerging from atom–photon interactions
npj Quantum Information ( IF 7.6 ) Pub Date : 2021-02-16 , DOI: 10.1038/s41534-021-00372-8
Alexander V. Poshakinskiy , Janet Zhong , Yongguan Ke , Nikita A. Olekhno , Chaohong Lee , Yuri S. Kivshar , Alexander N. Poddubny

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.



中文翻译:

原子-光子相互作用产生的量子霍尔相

我们揭示了耦合到波导的周期性间隔的两能级原子的阵列的两粒子希尔伯特空间中出现的量子霍尔相,拓扑边缘态,能兰道能级和霍夫施塔特蝴蝶光谱的出现(波导量子电动力学)。尽管光子的拓扑边缘状态需要对参数进行微调的空间或时间调制以生成合成磁场和量子霍尔效应,但在这里我们证明了合成磁场只能由原子-光子相互作用自感应。在可以说是最简单的量子结构中,拓扑顺序可以自感应的事实表明了这些波导量子电动力学系统的丰富性。我们相信,我们的发现将推动包括量子光学,

更新日期:2021-02-16
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