Solvable multistate model of Landau-Zener transitions in cavity QED

@article{Sinitsyn2016SolvableMM,
  title={Solvable multistate model of Landau-Zener transitions in cavity QED},
  author={Nikolai A. Sinitsyn and Fuxiang Li},
  journal={Physical Review A},
  year={2016},
  volume={93},
  pages={063859}
}
We consider the model of a single optical cavity mode interacting with two-level systems (spins) driven by a linearly time-dependent field. When this field passes through values at which spin energy level splittings become comparable to spin coupling to the optical mode, a cascade of Landau-Zener (LZ) transitions leads to co-flips of spins in exchange for photons of the cavity. We derive exact transition probabilities between different diabatic states induced by such a sweep of the field. 

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References

SHOWING 1-10 OF 31 REFERENCES
Theory of Slow Atomic Collisions
New updated! The latest book from a very famous author finally comes out. Book of theory of slow atomic collisions, as an amazing reference becomes what you need to get. What's for is this book? Are
A: Math
  • Theor. 48 195305
  • 2015
Phys
  • Rev. B 92, 205431
  • 2015
Phys
  • Rev. A 61, 032705
  • 2000
Phys
  • Rev., 170, 379
  • 1968
A: Math
  • Theor. 48, 505202
  • 2015
A: Math
  • Theor. 48, 245303
  • 2015
Phys
  • Rev. Lett. 114, 080501
  • 2015
Phys
  • Rev. Lett. 114, 233602
  • 2015
Phys
  • Rev. A 90, 062509
  • 2014
...
1
2
3
4
...