Rosen-Zener Transition in a Nonlinear Two-Level System

Details Rosen-Zener Transition in a Nonlinear Two-Level System Rosen-Zener Transition in a Nonlinear Two-Level System

2007-09-20

arxiv.org/abs/0709.3161v2

Phys. Rev. A 77, 013402 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 8 figures

Scientific paper

10.1103/PhysRevA.77.013402

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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