Xin-Ding Zhang et al 2008 New J. Phys. 10 043031 doi:10.1088/1367-2630/10/4/043031
Xin-Ding Zhang1, Z D Wang2, Liang-Bin Hu1, Zhi-Ming Zhang3 and Shi-Liang Zhu1,2,4
Show affiliationsWe 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 C1 and C2 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.
Issue 4 (April 2008)
Received 5 October 2007
Published 15 April 2008
Xin-Ding Zhang et al 2008 New J. Phys. 10 043031
A Gentle and G B Smith 2008 J. Phys. D: Appl. Phys. 41 015402
Roger A Pielke Jr 2009 Environ. Res. Lett. 4 024010
Ann E. Nelson et al JHEP08(2002)039
Hiromichi Nishimura and Michael Ogilvie 2009 J. Phys. A: Math. Theor. 42 022002
G Ratel et al 2005 Metrologia 42 06011
N Liu et al 2008 J. Micromech. Microeng. 18 027001
Seiji Samukawa et al 2008 J. Phys. D: Appl. Phys. 41 024006
T Nandi 2009 J. Phys. B: At. Mol. Opt. Phys. 42 061002
Jin-Won Song et al 2008 Nanotechnology 19 015201