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

• URL: http://arxiv.org/abs/2407.06832v1
• Date: Tue, 9 Jul 2024 13:05:35 GMT
• Title: Perturbative approach to time-dependent quantum systems and applications to one-crossing multistate Landau-Zener models
• Authors: Rongyu Hu, Chen Sun,
• Abstract summary: We study a class of 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, we derive analytical formulas of all its transition up to $4$th order in the couplings.
• Score: 6.058734838997002
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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. These analytical asymptotic solutions at the diabatic limit can serve as reliable benchmarks for future studies of any unsolved one-crossing MLZ models.

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