Curve crossing in linear potential grids: the quasidegeneracy approximation
Abstract
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.
Cite
@article{arxiv.quant-ph/0008087,
title = {Curve crossing in linear potential grids: the quasidegeneracy approximation},
author = {V. A. Yurovsky and A. Ben-Reuven},
journal= {arXiv preprint arXiv:quant-ph/0008087},
year = {2009}
}
Comments
LaTeX, 8 pages, 8 PostScript figures, uses REVTeX and psfig, submitted to Physical Review A