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arXiv 0709.4329quant-ph
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用俘获离子检测非阿贝尔几何相位

Detecting unambiguously non-Abelian geometric phases with trapped ions

Xin-Ding Zhang, Z. D. Wang, Liang-Bin Hu, Zhi-Ming Zhang, Shi-Liang Zhu

摘要:

我们首次提出了一个实验上可行的方案来揭示光致非阿贝尔规范结构与囚禁离子引起的非对易效应。在适当的组态下,在与三个脉冲激光场相互作用的四态原子系统中,与两个简并暗态相关的几何相位会自然产生真正的非阿贝尔规范势.研究表明,参数空间中两个闭环$C_1$和$C_2$组成的合成路径末端原子态布居数与合成逆序路径末端原子态布居数的差异是由非阿贝尔几何相位的非对易性直接引起的,并且可以用现有技术明确地检测到.

英文摘要:

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.

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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