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Zeitschrift für Physik A Hadrons and Nuclei

Interaction of laser light waves by dynamic stark splitting

Theodor W. Hänsch, R. Keil, Alfred Schabert, Ch. Schmelzer, P. E. Toschek

Published Jun 1, 1969• 84 citations
Publisher
DOI
10.1007/bf01392091

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We calculate a probe response of a homogeneously broadened two-level transition in the presence of a strong pump. The derivation is carried out for a generalized interaction Hamiltonian, which gives a uniform account of both the Bloch - Siegert shift and dynamic Stark splitting. It is shown that the Bloch - Siegert shift can be viewed as an extreme situation of the dynamic Stark splitting, commonly known as light shift in the literature. Finally using a perturbative approach an analytical expression for the Bloch - Siegert shift is obtained, which is compared with the previous results.

Journal of Physics B Atomic Molecular and Optical Physics•Nov 14, 1997•29 citations
Abstract We produce Rydberg Ps by a two-step laser excitation from and from to states of principal quantum level that are Stark split by a motionally induced electric field. Our measurements are largely free of first-order Doppler shifts such that we are able to investigate the impact of laser polarization on the population of the closely spaced Stark levels. We find a variation in the distribution that is primarily dependent on the IR laser polarization with respect to the direction of the motionally induced electric field. With the IR light polarized parallel to the electric field F , the ratio of excitation probability to the levels of maximal Stark splitting compared to that of excitation to the states of minimal Stark splitting is found to be 3.37 ± 0.51, whereas with the IR light polarized perpendicular to F , the excitation ratio is 0.87 ± 0.64. Our results agree with those of Wall et al (2015 Phys. Rev. Lett. 114 173001 ) obtained with n = 11 and will be useful in the preparation of high- n states of Ps for a variety of experiments, including measuring the interaction of Ps with gravity, in precision time-of-flight (TOF) energy spectroscopy, and precision optical spectroscopy of Ps.
A simple and straightforward method is presented for determining the electric-dipole moments of phototransitions between degenerate levels in atoms. In the present method, the dynamic Stark effect (DSE) is induced by a high-fluence laser light in the presence of a strong external magnetic field. The energy splitting caused by the DSE is measured by sweeping the frequency of the probe laser. As the separation width of the DSE peak is essentially given by a product of the dipole moment , the relevant Wigner 3- j symbol and the square root of the laser intensity, we are able to determine the value of in a direct way. As the DSE is induced between a pair of non-degenerate Zeeman sublevels, which is singled out by the external magnetic field, the result is free from any ambiguities brought about by the degeneracy such as the smoothing out of DSE peaks caused by the overlapping of the sublevel contributions. The method was tested against the transition between the 17 362 and levels in atomic uranium, giving the electric dipole moment .
We calculate a probe response of a homogeneously broadened two-level transition in the presence of a strong pump. The derivation is carried out for a generalized interaction Hamiltonian, which gives a uniform account of both the Bloch - Siegert shift and dynamic Stark splitting. It is shown that the Bloch - Siegert shift can be viewed as an extreme situation of the dynamic Stark splitting, commonly known as light shift in the literature. Finally using a perturbative approach an analytical expression for the Bloch - Siegert shift is obtained, which is compared with the previous results.