# 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…

## 19 Citations

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Abstract
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The concept of quantum integrability has been introduced recently for quantum systems with explicitly time-dependent Hamiltonians (Sinitsyn et al 2018 Phys. Rev. Lett. 120 190402). Within the…

## References

SHOWING 1-10 OF 22 REFERENCES

"J."

- PhilosophyThe New Yale Book of Quotations
- 2021

however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)…

APPL

- Computer Science
- 2001

A prototype probability package named APPL (A Probability Programming Language) is presented that can be used to manipulate random variables and examples illustrate its use.

Ann

- Psychology
- 2005

Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixed…

Phys

- Rev. A 79, 042703
- 2009

Phys

- Rev. A 93, 063859
- 2016

Phys

- Rev. A 79, 055602
- 2009

and P

A: Math

- Gen. 27, 493
- 1994

Phys

- Letters A 350, 154
- 2006

Phys

- Rev. A 65, 043607
- 2002