Xiaolong Zhang, Jiahao Huang, Yuexia Zhang, Kelin Gao, Chaohong Lee
We investigate the Landau-Zener process of a harmonically trapped spin-1/2 particle with spin-phonon coupling. Because of the spin-phonon coupling, the energy level structures are modified by the Franck-Condon effects, in which some avoided energy-level-crossings are almost closed and some energy-level-crossings are opened. The close of avoided energy-level-crossings and the open of energy-level-crossings result in the Franck-Condon blockade and the vibrational transitions, respectively. If the spin-phonon coupling is sufficiently strong, the sequential Landau-Zener transitions of ladder-like population transition appear in the Landau-Zener process, in which an initially ground-state system is driven from one far-off-resonance limit to the other far-off-resonance limit. We derive a generalized Landau-Zener formula which is well consistent with our numerical results.
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http://arxiv.org/abs/1207.5585
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