Perturbative approach to time-dependent quantum systems and applications to one-crossing multistate Landau-Zener models
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866915458334064640 |
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| author | Hu, Rongyu Sun, Chen |
| author_facet | Hu, Rongyu Sun, Chen |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_06832 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Perturbative approach to time-dependent quantum systems and applications to one-crossing multistate Landau-Zener models Hu, Rongyu Sun, Chen Quantum Physics Mesoscale and Nanoscale Physics Mathematical Physics 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. |
| title | Perturbative approach to time-dependent quantum systems and applications to one-crossing multistate Landau-Zener models |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Mathematical Physics |
| url | https://arxiv.org/abs/2407.06832 |