Coherent Control of Quantum Localization

Abstract

Twenty eight years ago, Haroche et al. [1] published measurements of Zee-man hyperfine spectra of Hydrogen and Rubidium atoms that were subjected to not only a static magnetic field B, but also to an additional oscillating magnetic field B1cos(ωt). The latter was applied perpendicular to the static field; the oscillation frequency ω was small compared to the hyperfine separations, but large compared to the Lamor precession frequencies. These experiments demonstrated that the Landé factors gF of the bare hyperfine levels F are drastically modified by the high-frequency magnetic field; they become

$$ {\bar g_F} = {g_F}{J_0}\left( {\frac{{{g_F}{\mu _B}{B_1}}}{{\hbar \omega }}} \right), $$

(1)

where μB is the Bohr magneton, and J ₀ denotes the ordinary Bessel function of order zero.