No-go theorem for bands of potential curves in multistate Landau–Zener model

@article{Volkov2005NogoTF,
  title={No-go theorem for bands of potential curves in multistate Landau–Zener model},
  author={Michail V. Volkov and Valentin N. Ostrovsky},
  journal={Journal of Physics B: Atomic, Molecular and Optical Physics},
  year={2005},
  volume={38},
  pages={907 - 915},
  url={https://api.semanticscholar.org/CorpusID:122560197}
}
  • M. VolkovV. Ostrovsky
  • Published 15 March 2005
  • Physics
  • Journal of Physics B: Atomic, Molecular and Optical Physics
In the multistate Landau–Zener model all diabatic potential curves are linear functions of time. We consider the case where there is a band of parallel potential curves with slope larger (smaller) than any of the other slopes in the system. In such a situation transitions from a lower (higher) lying state within the band to any upper (lower) state are counterintuitive, since in the simple semiclassical picture they are possible only via propagation backwards in time. We rigorously prove that… 
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19 Citations

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Comment on ‘Exact results for survival probability in the multistate Landau–Zener model’

We correct the proof of the Brundobler–Elser formula (BEF) provided in Volkov and Ostrovsky (2004 J. Phys. B: At. Mol. Opt. Phys. 37 4069) and continued in the appendix of Volkov and Ostrovsky (2005…

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16 References

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Reply to comment on ‘Exact results for survival probability in the multistate Landau–Zener model’

After using a corrected change of variables, Dobrescu and Sinitsyn (2006 J. Phys. B: At. Mol. Opt. Phys. 39 1253) subsequently circumvent the direct calculation of the perturbation theory expansion…