Measurement of non-Abelian gauge fields using multi-loop amplification

Non-Abelian gauge field (NAGF) plays a central role in understanding the geometrical and topological phenomena in physics. Here we experimentally induce a NAGF in the degenerate eigen subspace of a double-\(\Lambda\) four-level atomic system. The non-Abelian nature of the gauge field is detected thr...

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Bibliographic Details
Published in:arXiv.org 2023-05
Main Authors: Qing-Xian Lv, Hong-Zhi, Liu, Yan-Xiong, Du, Lin-Qing, Chen, Wang, Meng, Jia-Hao, Liang, Zhao-Xin, Fu, Zi-Yuan, Chen, Yan, Hui, Shi-Liang, Zhu
Format: Article
Language:English
Subjects:
Amplification
Commutativity
Evolution
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Summary:Non-Abelian gauge field (NAGF) plays a central role in understanding the geometrical and topological phenomena in physics. Here we experimentally induce a NAGF in the degenerate eigen subspace of a double-\(\Lambda\) four-level atomic system. The non-Abelian nature of the gauge field is detected through the measurement of the non-commutativity of two successive evolution loops. Then we theoretically propose and experimentally demonstrate a novel scheme to measure the NAGF through multi-loop evolution and robust holonomic quantum gates. The demonstrated scheme offers the advantage of detecting the NAGF with amplification through multi-loop evolution. Our results pave the way for an experimentally-feasible approach to achieving high-resolution and high-precision measurements of the gauge fields.
ISSN:2331-8422