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 Stückelberg oscillations) is disclosed, and its nature discussed. The approximation can find applications in many fields of physics, where multistate curve crossing problems occur.

LaTeX, 8 pages, 8 PostScript figures, uses REVTeX and psfig, submitted to Physical Review A

References in corpus (2)

• Atom loss from Bose-Einstein condensates due to Feshbach resonance
• Atom loss and the formation of a molecular Bose-Einstein condensate by Feshbach resonance

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• Quantum effects on curve crossing in a Bose-Einstein condensate
• Counterintuitive transitions between crossing energy levels
• Nonadiabatic transitions in Landau-Zener grids: integrability and semiclassical theory
• Generalized Adiabatic Impulse Approximation
• Formation of Two Component Bose Condensate During the Chemical Potential Curve Crossing
• Integrable multistate Landau-Zener models with parallel energy levels
• Formation of molecules in an expanding Bose-Einstein condensate
• Landau-Zener problem in a three-level neutrino system with non-linear time dependence