Measurement of non-Abelian gauge fields using multi-loop amplification
- Resource Type
- Working Paper
- Authors
- Lv, Qing-Xian; Liu, Hong-Zhi; Du, Yan-Xiong; Chen, Lin-Qing; Wang, Meng; Liang, Jia-Hao; Fu, Zhao-Xin; Chen, Zi-Yuan; Yan, Hui; Zhu, Shi-Liang
- Source
- Subject
- Quantum Physics
- Language
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.
Comment: 11 pages, 8 figures