Detecting unambiguously non-Abelian geometric phases with trapped ions

Details Detecting unambiguously non-Abelian geometric phases with trapped ions Detecting unambiguously non-Abelian geometric phases with trapped ions

2007-09-27

arxiv.org/abs/0709.4329v1

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.

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