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arxiv: cond-mat/0112419 · v1 · submitted 2001-12-21 · ❄️ cond-mat.mes-hall

Landau-Zener transitions in a linear chain

classification ❄️ cond-mat.mes-hall
keywords amplitudeschaininfinitelandau-zenerlinearsolutiontransitionaddition
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We present an exact asymptotic solution for electron transition amplitudes in an infinite linear chain driven by an external homogeneous time-dependent electric field. This solution extends the Landau-Zener theory for the case of infinite number of states in discrete spectrum. In addition to transition amplitudes we calculate an effective diffusion constant.

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