Physics – Quantum Physics
Scientific paper
2007-09-27
New J. Phys. 10 (2008) 043031.
Physics
Quantum Physics
6 pages
Scientific paper
10.1088/1367-2630/10/4/043031
We propose for the first time an experimentally feasible scheme to disclose the noncommutative effects induced by a light-induced non-Abelian gauge structure with trapped ions. Under an appropriate configuration, a true non-Abelian gauge potential naturally arises in connection with the geometric phase associated with two degenerated dark states in a four-state atomic system interacting with three pulsed laser fields. We show that the population in atomic state at the end of a composed path formed by two closed loops $C_1$ and $C_2$ in the parameter space can be significantly different from the composed counter-ordered path. This population difference is directly induced by the noncommutative feature of non-Abelian geometric phases and can be detected unambiguously with current technology.
Hu Liang-Bin
Wang Zheng-Dong
Zhang Xin-Ding
Zhang Zhi-Ming
Zhu Shi-Liang
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