Analytic calculation of nonadiabatic transition probabilities from monodromy of differential equations
Quantum Physics
2009-11-10 v1
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.
Cite
@article{arxiv.quant-ph/0309075,
title = {Analytic calculation of nonadiabatic transition probabilities from monodromy of differential equations},
author = {T. Kato and K. Nakamura and M. Lakshmanan},
journal= {arXiv preprint arXiv:quant-ph/0309075},
year = {2009}
}
Comments
13 pages, 2 figures