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Demkov–Kunike transition dynamics in a nonlinear two-level system

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Abstract

We investigate the Demkov–Kunike transition in a nonlinear two-level system. We find that nonlinearity can dramatically affect the transition dynamics. We show the asymmetry of transition probability in different initial modes. For the weak interaction, the transition probability could be quickly stabilized at 100% in the initial state \(\psi _{1}\) and could be optionally obtained from zero to 100% over a very wide range of external parameters in the initial state \(\psi _{2}\). For the strong interaction, the quantum transition of the two states could be completely blocked. In the adiabatic case, for different initial modes we analyze the asymmetry of transition probability by the eigenenergy level structure of the system. We also show the influence of static detuning on transition probability. Possible applications of our theory to actual physical systems are discussed.

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Acknowledgements

The work is supported by the National Natural Science Foundation of China (Grants Nos. 11547046, 11665020 and 11747018), the Natural Science Foundation of Gansu Province, China (Grants Nos. 1606RJZA081 and 17JR5RA070), and the Scientific Research Foundation of NWNU (Grant No. NWNU-LKQN-16-3).

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  1. Key Laboratory of Atomic and Molecular Physics and Functional Materials of Gansu Province, College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou, 730070, China

    Ping Feng, Wen-Yuan Wang, Jian-An Sun & Fu-Quan Dou

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  1. Ping Feng
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Correspondence to Fu-Quan Dou.

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Feng, P., Wang, WY., Sun, JA. et al. Demkov–Kunike transition dynamics in a nonlinear two-level system. Nonlinear Dyn 91, 2477–2484 (2018). https://doi.org/10.1007/s11071-017-4026-8

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