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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.05871 |
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| _version_ | 1866929337895223296 |
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| author | Suzuki, Takayuki Taniguchi, Eiki Iwamura, Kaito |
| author_facet | Suzuki, Takayuki Taniguchi, Eiki Iwamura, Kaito |
| contents | The dynamics of quantum systems under the adiabatic Hamiltonian has attracted attention not only in quantum control but also in a wide range of fields from condensed matter physics to high-energy physics because of its non-perturbative behavior. Here we analyze the adiabatic dynamics in the two-level systems and the multilevel systems using the exact WKB analysis, which is one of the non-perturbative analysis methods. As a result, we obtain a formula for the transition probability, which is similar to the known formula in the two-level system. Although non-perturbative analysis in the adiabatic limit has rarely been studied for multilevel systems, we show that the same analysis can be applied and also provide a concrete example. The results will serve as a basis for the application of the exact WKB analysis in various fields of physics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_05871 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Exact WKB analysis for adiabatic discrete-level Hamiltonians Suzuki, Takayuki Taniguchi, Eiki Iwamura, Kaito Quantum Physics The dynamics of quantum systems under the adiabatic Hamiltonian has attracted attention not only in quantum control but also in a wide range of fields from condensed matter physics to high-energy physics because of its non-perturbative behavior. Here we analyze the adiabatic dynamics in the two-level systems and the multilevel systems using the exact WKB analysis, which is one of the non-perturbative analysis methods. As a result, we obtain a formula for the transition probability, which is similar to the known formula in the two-level system. Although non-perturbative analysis in the adiabatic limit has rarely been studied for multilevel systems, we show that the same analysis can be applied and also provide a concrete example. The results will serve as a basis for the application of the exact WKB analysis in various fields of physics. |
| title | Exact WKB analysis for adiabatic discrete-level Hamiltonians |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2311.05871 |