Rosen-Zener Transition in a Nonlinear Two-Level System
Abstract
We study Rosen-Zener transition (RZT) in a nonlinear two-level system in which the level energies depend on the occupation of the levels, representing a mean-field type of interaction between the particles. We find that the nonlinearity could affect the quantum transition dramatically. At certain nonlinearity the 100% population transfer between two levels is observed and found to be robust over a very wide range of external parameters. On the other hand, the quantum transition could be completely blocked by a strong nonlinearity. In the sudden and adiabatic limits we have derived analytical expressions for the transition probability. Numerical explorations are made for a wide range of parameters of the general case. Possible applications of our theory to Bose-Einstern Condensates (BECs) are discussed.
Cite
@article{arxiv.0709.3161,
title = {Rosen-Zener Transition in a Nonlinear Two-Level System},
author = {Di-Fa Ye and Li-Bin Fu and Jie Liu},
journal= {arXiv preprint arXiv:0709.3161},
year = {2009}
}
Comments
8 pages, 8 figures