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Optics Communications

The adiabatic limit of level crossing models

Kalle‐Antti Suominen, B. M. Garraway, Stig Stenholm

Published Apr 1, 1991• 41 citations
Publisher
DOI
10.1016/0030-4018(91)90456-n

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A method of fundamental solutions has been used to investigate transitions in two-energy-level-systems with no level crossing in a real time. Compact formulas for transition probabilities have been found in their exact form as well as in their adiabatic limit. No interference effects resulting from many-level complex crossings as announced by Joye, Mileti, and Pfister [Phys. Rev. A 44, 4280 (1991)] have been detected in either case. It is argued that these results of this work are incorrect. However, some effects of Berry's phases are confirmed.