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arXiv · 2407.06832

Perturbative approach to time-dependent quantum systems and applications to one-crossing multistate Landau-Zener models

Rongyu Hu·Chen Sun
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Abstract

We formulate a perturbative approach for studying a class of multi-level time-dependent quantum systems with constant off-diagonal couplings and diabatic energies being odd functions of time. Applying this approach to a general multistate Landau-Zener (MLZ) model with all diabatic levels crossing at one point (named the one-crossing MLZ model), we derive analytical formulas of all its transition probabilities up to $4$th order in the couplings. For one-crossing MLZ models it is difficult to obtain such analytical results by other kinds of approximation methods; thus, these perturbative results can serve as reliable benchmarks for future studies of any one-crossing MLZ models that have not been exactly solved.

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Rongyu Hu, Chen Sun. 2024-07-09. Perturbative approach to time-dependent quantum systems and applications to one-crossing multistate Landau-Zener models. https://arxiv.org/abs/2407.06832

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