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Analytic calculation of nonadiabatic transition probabilities from monodromy of differential equations

T. Kato·K. Nakamura·M. Lakshmanan
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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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T. Kato, K. Nakamura, M. Lakshmanan. 2003-09-09. Analytic calculation of nonadiabatic transition probabilities from monodromy of differential equations. https://doi.org/10.1088/0305-4470%2F36%2F21%2F309

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