9 research outputs found
Landau-Zener transitions in a semiconductor quantum dot
We study the transitions between neighboring energy levels in a
quasi-one-dimensional semiconductor quantum dot with two interacting electrons
in it, when it is subject to a linearly time-dependent electric field. We
analyze the applicability of simple two-level Landau-Zener model to describe
the evolution of the probability amplitudes in this realistic system. We show
that the Landau-Zener model works very well when it is viewed in the adibatic
basis, but it is not as robust in the diabatic basis.Comment: 7 pages, 7 figures. Submitted to Special Issue "Quantum Control of
Matter and Light" of Journal of Modern Physic
Exactly solvable Wadati potentials in the PT-symmetric Gross-Pitaevskii equation
This note examines Gross-Pitaevskii equations with PT-symmetric potentials of
the Wadati type: . We formulate a recipe for the construction of
Wadati potentials supporting exact localised solutions. The general procedure
is exemplified by equations with attractive and repulsive cubic nonlinearity
bearing a variety of bright and dark solitons.Comment: To appear in Proceedings of the 15 Conference on Pseudo-Hermitian
Hamiltonians in Quantum Physics, May 18-23 2015, Palermo, Italy (Springer
Proceedings in Physics, 2016