Effects of periodic modulation on the nonlinear Landau--Zener tunneling |
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| Authors: | Wu Li-Hua and Duan Wen-Shan |
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| Affiliation: | College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | We study the Landau-Zener tunneling of a nonlinear two-level system
by applying a periodic modulation on its energy bias. We find that
the two levels are splitting at the zero points of the zero order
Bessel function for high-frequency modulation. Moreover, we obtain
the effective coupling constant between two levels at the zero
points of the zero order Bessel function by calculating the final
tunneling probability at these points. It seems that the effective
coupling constant can be regarded as the approximation of the higher
order Bessel function at these points. For the low-frequency
modulation, we find that the final tunneling probability is a
function of the interaction strength. For the weak inter-level
coupling case, we find that the final tunneling probability is more
disordered as the interaction strength becomes larger. |
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| Keywords: | nonlinear two-level system Landau--Zener tunneling tunneling probability periodic modulation |
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