Comment on "Exact results for survival probability in the multistate Landau-Zener model"

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2005-05-23

arxiv.org/abs/cond-mat/0505571v3

J. Phys. B 39, 1253 (2006)

Physics

Condensed Matter

Other Condensed Matter

10 pages

Scientific paper

10.1088/0953-4075/39/5/N01

We correct the proof of Brundobler-Elser formula (BEF) provided in [2004 \textit{J. Phys. B: At. Mol. Opt. Phys.} \textbf{37} 4069] and continued in Appendix of [2005 \textit{J. Phys. B: At. Mol. Opt. Phys.} \textbf{38} 907]. After showing that some changes of variables employed in these articles are used erroneously, we propose an alternative change of variables which solves the problem. In our proof, we reveal the connection between the BEF for a general $N$-level Landau-Zener system and the exactly solvable bow-tie model. The special importance of the diabatic levels with maximum/minimum slope is emphasized throughout.

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