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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References

SHOWING 1-7 OF 7 REFERENCES

and P

    The reason for this difference is that, in our case, bosons can occupy only a fixed number n of energy levels of the single particle spectrum instead of the unbound spectrum in Ref

      There is a difference of the partition function in Eq. (21) from the partition function of free bosons in Eq. (23) of Ref

        A: Math

        • Gen. 27, 493
        • 1994

        Plann

        • Inference 140, 2184
        • 2010

        Ki Soo H

        • J. Kang, and N. Y. Choi, Internat. J. Theoret. Phys., 34, 2165
        • 1995

        Nuovo Cimento 9 (2)

        • 43
        • 1932