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Journal of the Korean Physical Society

Resonance Frequency Shift of a Two-Level Atom in a Pulsed Optical Trap

Jai Min Choi, Gee-Na Kim, D. Cho, Charles I. Sukenik

Published Jul 14, 2007• 4 citations
Publisher
DOI
10.3938/jkps.51.294

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We study how a Rabi oscillation is affected by a periodic pulsed perturbation. Unlike a continuous perturbation, which simply shifts the resonance frequency, a pulsed perturbation splits the Rabi resonance into two lines separated by the pulse repetition rate. When the perturbation integrated over one pulse is equal to $\ensuremath{\pi}$, the resonance splits into two symmetrically placed lines at \ifmmode\pm\else\textpm\fi{} half the pulse repetition rate. When it is $2\ensuremath{\pi}$, the Rabi oscillation is unaffected by the perturbation. We demonstrate these behaviors using the ground hyperfine transition of cesium atoms in a magneto-optical trap. The pulsed perturbation is introduced by a periodic magnetic field pulse. The $2\ensuremath{\pi}$ case is compared with the self-induced transparency, and its implications for optical frequency metrology using a pulsed optical trap is discussed.
We investigate the problem of resonant re flection and transmission of an ultrashort light pulse passing through a medium consisting of two-level atoms. We show that for a thin layer it is important to take into account the difference between the external macroscopic field and the field acting on the individual atoms within the medium. The local field correction leads to an inversion dependent resonant frequency. In thin layers this generates a new mechanism of nonlinear transparency induced by the dynamical frequency shift. When the excitation frequency is larger than the original resonant frequency, then the transmission of the layer exhibits bistable behavior.