Analytic calculation of nonadiabatic transition probabilities from monodromy of differential equations

Details Analytic calculation of nonadiabatic transition probabilities from monodromy of differential equations Analytic calculation of nonadiabatic transition probabilities from monodromy of differential equations

2003-09-09

arxiv.org/abs/quant-ph/0309075v1

J. Phys. A: Math. Gen. 36 (2003) 5803-5815

Physics

Quantum Physics

13 pages, 2 figures

Scientific paper

10.1088/0305-4470/36/21/309

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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