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arXiv 2001.08551quant-phcond-mat.mes-hall
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光子晶格中的非阿贝尔Aharonov-Bohm囚禁

Non-Abelian Aharonov-Bohm Caging in Photonic Lattices

Sheng Li, Zheng-Yuan Xue, Ming Gong, Yong Hu

备注：
10 pages, 4 figures, revised with discussion added
发表信息：
Phys. Rev. A 102, 023524 (2020)
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摘要：

Aharonov-Bohm（AB）囚禁是指由于穿透磁场引起的相消干涉而导致的定域化效应。目前的研究主要集中在阿贝尔AB笼的情况下，在这里，我们超越和发展的非阿贝尔AB笼的概念，考虑粒子在一个一维的多分量菱形晶格与非阿贝尔背景规范场的本地化。与阿贝尔笼相反，非阿贝尔AB笼依赖于幂零干涉矩阵的形式和格的初始状态。这种现象是规范势的非阿贝尔性质的结果，因此没有阿贝尔类似物。我们进一步提出了一个电路量子电动力学实现所提出的物理，其中所需的非阿贝尔规范场可以合成的参数转换方法，和非阿贝尔AB笼可以明确地证明，通过泵浦和稳态测量的晶格上只有少数网站。由于只需要现有的技术，我们的建议可以很容易地在实验中进行测试，并可能铺平了一条新的路线，对奇异的光子量子流体的调查。

英文摘要：

Aharonov-Bohm (AB) caging is the localization effect in translational-invariant lattices due to destructive interference induced by penetrated magnetic fields. While current research focuses mainly on the case of Abelian AB caging, here we go beyond and develop the non-Abelian AB caging concept by considering the particle localization in a 1D multi-component rhombic lattice with non-Abelian background gauge field. In contrast to its Abelian counterpart, the non-Abelian AB cage depends on both the form of the nilpotent interference matrix and the initial state of the lattice. This phenomena is the consequence of the non-Abelian nature of the gauge potential and thus has no Abelian analog. We further propose a circuit quantum electrodynamics realization of the proposed physics, in which the required non-Abelian gauge field can be synthesized by the parametric conversion method, and the non-Abelian AB caging can be unambiguously demonstrated through the pumping and the steady-state measurements of only a few sites on the lattice. Requiring only currently available technique, our proposal can be readily tested in experiment and may pave a new route towards the investigation of exotic photonic quantum fluids.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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