SIGNATURE WORK
CONFERENCE & EXHIBITION 2023

This study proposed a potential way and discussed the feasibility to apply the Kibble-Zurek mechanism to a nonlinear Landau-Zener model, so that the possibility of tunneling driven by dynamic at different sweeping rates could be predicted. In other words, instead of treating the nonlinear Landau-Zener model as a complex system and discussing the dynamics separately in terms of interaction strength, this study presents a more general approach that can estimate roughly the same dynamics. The agreements between the theoretical solution and the Kibble-Zurek approach to nonlinear Landau-Zener model given in this study show that it can not only be applied in linear models but is also a feasible method to predict the dynamics of nonlinear quantum systems. Namely, this study indicates that as long as the model generally meets the postulates of Kibble-Zurek mechanism, nonlinearity to a certain degree can be allowed in this method, and still, acceptable results are within the expectation. Due to the simplicity and universality of the Kibble-Zurek mechanism, we have reason to believe that it is a promising method for the intuitive rough analysis of complex nonlinear systems. But the further research about how to apply it to another nonlinear model is still important and necessary.