Physics – Quantum Physics
Scientific paper
2000-08-21
Phys. Rev. A 63 2001 043404
Physics
Quantum Physics
LaTeX, 8 pages, 8 PostScript figures, uses REVTeX and psfig, submitted to Physical Review A
Scientific paper
10.1103/PhysRevA.63.043404
The quasidegeneracy approximation [V. A. Yurovsky, A. Ben-Reuven, P. S. Julienne, and Y. B. Band, J. Phys. B {\bf 32}, 1845 (1999)] is used here to evaluate transition amplitudes for the problem of curve crossing in linear potential grids involving two sets of parallel potentials. The approximation describes phenomena, such as counterintuitive transitions and saturation (incomplete population transfer), not predictable by the assumption of independent crossings. Also, a new kind of oscillations due to quantum interference (different from the well-known St\"uckelberg oscillations) is disclosed, and its nature discussed. The approximation can find applications in many fields of physics, where multistate curve crossing problems occur.
Ben-Reuven Abraham
Yurovsky Vladimir A.
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