论文标题
与时间季节通勤操作员的多态Landau-Zener模型中的集成性
Integrability in the multistate Landau-Zener model with time-quadratic commuting operators
论文作者
论文摘要
确切可解决的多态多态Landau-Zener（MLZ）模型与与MLZ Hamiltonians上下班并线性依赖的运营商家族有关。也可以有运营商满足与MLZ Hamiltonians的整合性条件的满足，但依靠时间四。我们表明，在MLZ系统中，此类季度运营商更为普遍。然后，我们证明此类操作员通常会对参数化散射矩阵的自变量产生约束。我们展示了这种约束如何在三级MLZ模型的绝热极限下导致过渡概率的渐近表达式。还发现了新的完全可解决的MLZ系统。
Exactly solvable multistate Landau-Zener (MLZ) models are associated with families of operators that commute with the MLZ Hamiltonians and depend on time linearly. There can also be operators that satisfy the integrability conditions with the MLZ Hamiltonians but depend on time quadratically. We show that, among the MLZ systems, such time-quadratic operators are much more common. We demonstrate then that such operators generally lead to constraints on the independent variables that parametrize the scattering matrix. We show how such constraints lead to asymptotically exact expressions for the transition probabilities in the adiabatic limit of a three-level MLZ model. New fully solvable MLZ systems are also found.
