dorsal/arxiv
View SchemaAnalytic calculation of nonadiabatic transition probabilities from monodromy of differential equations
| Authors | T. Kato, K. Nakamura, M. Lakshmanan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0309075 |
| URL | https://arxiv.org/abs/quant-ph/0309075 |
| DOI | 10.1088/0305-4470/36/21/309 |
| Journal | J. Phys. A: Math. Gen. 36 (2003) 5803-5815 |
Abstract
The nonadiabatic transition probabilities in the two-level systems are calculated analytically by using the monodromy matrix determining the global feature of the underlying differential equation. We study the time-dependent 2x2 Hamiltonian with the tanh-type plus sech-type energy difference and with constant off-diagonal elements as an example to show the efficiency of the monodromy approach. The application of this method to multi-level systems is also discussed.
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"abstract": "The nonadiabatic transition probabilities in the two-level systems are\ncalculated analytically by using the monodromy matrix determining the global\nfeature of the underlying differential equation. We study the time-dependent\n2x2 Hamiltonian with the tanh-type plus sech-type energy difference and with\nconstant off-diagonal elements as an example to show the efficiency of the\nmonodromy approach. The application of this method to multi-level systems is\nalso discussed.",
"arxiv_id": "quant-ph/0309075",
"authors": [
"T. Kato",
"K. Nakamura",
"M. Lakshmanan"
],
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"quant-ph"
],
"doi": "10.1088/0305-4470/36/21/309",
"journal_ref": "J. Phys. A: Math. Gen. 36 (2003) 5803-5815",
"title": "Analytic calculation of nonadiabatic transition probabilities from monodromy of differential equations",
"url": "https://arxiv.org/abs/quant-ph/0309075"
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