# 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…

## 20 Citations

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Abstract
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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