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Interaction between atom and radiation with sinusoidally shaped amplitude: Applications to frequency standards

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Abstract

The study of the evolution of a two-level atom crossing an electromagnetic field with a sinusoidally shaped amplitude is of interest in frequency metrology because a few Cs beam standards share this type of realization. The Magnus expansion method helps to find a solution to this problem giving approximate analytical results, which are made easy to handle by a series expansion in the detuning between atom resonance and radiation frequency. Numerical checks show that rather simple expressions provide an accuracy better than 10−3 in the matrix elements of the evolution operator for useful ranges of power levels and frequency differences. Two examples concerned with Cs beam standards are discussed.

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Authors and Affiliations

  1. Dipartimento di Elettronica, Politecnico di Milano, Piazza Leonardo da Vinci 32, I-20133, Milano, Italy

    E. Bava

  2. Yerevan Polytechnical Institute, Terian st. 105, 375009, Yerevan, Armenia

    A. G. Shahian (The Chair of Theoretical Electrical Engineering)

Authors
  1. E. Bava
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  2. A. G. Shahian
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At the time of this work A.G. Shahian was a guest at Politecnico di Milano, with a grant of the Ministry for Foreign Affairs of Italy

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Bava, E., Shahian, A.G. Interaction between atom and radiation with sinusoidally shaped amplitude: Applications to frequency standards. Appl. Phys. B 54, 500–505 (1992). https://doi.org/10.1007/BF00325516

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  • DOI: https://doi.org/10.1007/BF00325516

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