Landau-Zener extension of the Tavis-Cummings model: Structure of the solution

@article{Sun2016LandauZenerEO,
  title={Landau-Zener extension of the Tavis-Cummings model: Structure of the solution},
  author={Chen Sun and Nikolai A. Sinitsyn},
  journal={Physical Review A},
  year={2016},
  volume={94},
  pages={033808}
}
We explore the recently discovered solution of the driven Tavis-Cummings model (DTCM). It describes interaction of an arbitrary number of two-level systems with a bosonic mode that has linearly time-dependent frequency. We derive compact and tractable expressions for transition probabilities in terms of the well-known special functions. In this form, our formulas are suitable for fast numerical calculations and analytical approximations. As an application, we obtain the semiclassical limit of… 
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