2007/09/27 by Xin-Ding Zhang, Z. D. Wang, Z D Wang +3 · 1 citation
Computer Science · Physics and Astronomy · #Connection (principal bundle) #Gauge (firearms) #Geometric phase #Ion #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Path (computing) #Phase (matter) #Population #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph
paper · pdf · doi:10.1088/1367-2630/10/4/043031
published as New J. Phys. 10 (2008) 043031. · 6 pages
arxiv created 2007/09/27 · openalex publication_date 2008/04/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We propose 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 the 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.