Fundamental solution method applied to time evolution of two energy level systems: exact and adiabatic limit results

Details Fundamental solution method applied to time evolution of two energy level systems: exact and adiabatic limit results Fundamental solution method applied to time evolution of two energy level systems: exact and adiabatic limit results

2000-09-26

arxiv.org/abs/quant-ph/0009108v5

Physics

Quantum Physics

LaTeX2e, 23 pages, 8 EPS figures. Style corrected

Scientific paper

10.1103/PhysRevA.63.052101

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. {\bf A44} 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.

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