费米超流气体的非线性Landau．Zener隧穿

Nonlinear Landau-Zener transition of Fermi superfluid gases

在平均场近似下，通过对相平面和不动点的分析，研究了非线性两能级系统中费米超流气体的Landau-Zener隧穿现象．研究发现，费米子间的相互作用能够显著地影响量子隧穿．当相互作用参数c小于临界值C时，在绝热极限下隧穿仍然满足量子绝热定理，而大于这一临界值时，量子绝热定理不再满足．最后通过和线性情况比较，得到了C〈c‘时隧穿率与扫描速率间满足的指数关系．

By using the analysis of phase, fixed point and tunneling rate between two wells, we study the nonlinear Landau-Zener transition of Fermi superfluid gases in a two-mode system. We find that the interaction between fermi pairs can affect the quantum transition. We also find that when the interaction parameter c is less than the critical value c＊, in the adiabatic limit, the quantum adiabatic transition theorem is still satisfied, but when the interaction parameter c is greater than this critical value, the quantum adiabatic transition theorem will not be satisfied. Finally, we obtain the relationship between the tunneling rate and the scan rate by comparing with the linear case.