论文标题
具有平行能级的可集成的多态陆豪 - 陆军套索模型
Integrable multistate Landau-Zener models with parallel energy levels
论文作者
论文摘要
我们讨论可解决的多态多态Landau-Zener(MLZ)模型,其Hamiltonians的通勤合作伙伴运营商使用$ \ sim 1/τ$ - 与时间有关的参数。许多已知的可解决的MLZ模型恰好属于此类。我们在此类通勤运算符的参数上得出了可集成性条件,并演示了如何使用此类条件以获取新的可溶可解决情况。我们表明,该类别的MLZ模型必须包含平行生物能量水平的带。发现散射矩阵和其他特性的结构与先前讨论的完全解决的MLZ Hamiltonians相同。
We discuss solvable multistate Landau-Zener (MLZ) models whose Hamiltonians have commuting partner operators with $\sim 1/τ$-time-dependent parameters. Many already known solvable MLZ models belong precisely to this class. We derive the integrability conditions on the parameters of such commuting operators, and demonstrate how to use such conditions in order to derive new solvable cases. We show that MLZ models from this class must contain bands of parallel diabatic energy levels. The structure of the scattering matrix and other properties are found to be the same as in the previously discussed completely solvable MLZ Hamiltonians.