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.

8 pages, 8 figures

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• Nonlinear Non-Hermitian Landau-Zener-Stückelberg-Majorana interferometry
• Adiabatic transport of Bose-Einstein condensate in double-well trap
• Tunneling Time in the Landau-Zener Model
• The Adiabatic Transport of Bose-Einstein Condensates in a Double-Well Trap: Case a Small Nonlinearity
• Cyclotron dynamics of a Bose-Einstein condensate in a quadruple-well potential with synthetic gauge fields
• Intrinsic Dynamical Fluctuation Assisted Symmetry Breaking in Adiabatic Following
• Localization and self-trapping in driven-dissipative polariton condensates
• The role of inter-well tunneling strength on coherence dynamics of two-species Bose-Einstein condensates
• Engineering Ponderomotive Potential for Realizing $\pi$ and $\pi /2$ Bosonic Josephson Junctions