半锥eigenvalue相交与量子系统的系综能控性问题
Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems
摘要：
我们研究了有限维实Hamilton算子依赖于两个控制的单参数扰动，并证明了在Hamilton算子空间中，特征值的圆锥相交可以退化为特征值的半圆锥相交.然后，通过使用正规形，我们研究了一般哈密顿量的本征态之间的系综能控性问题。
英文摘要：
We study one-parametric perturbations of finite dimensional real Hamiltonians depending on two controls, and we show that generically in the space of Hamiltonians, conical intersections of eigenvalues can degenerate into semi-conical intersections of eigenvalues. Then, through the use of normal forms, we study the problem of ensemble controllability between the eigenstates of a generic Hamiltonian.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
