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arXiv · 0709.3161

Rosen-Zener Transition in a Nonlinear Two-Level System

Di-Fa Ye·Li-Bin Fu·Jie Liu
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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.

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Di-Fa Ye, Li-Bin Fu, Jie Liu. 2007-10-22. Rosen-Zener Transition in a Nonlinear Two-Level System. https://doi.org/10.1103/physreva.77.013402

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