当前位置: X-MOL 学术Math. Control Relat. Fields › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems
Mathematical Control and Related Fields ( IF 1.0 ) Pub Date : 2020-03-22 , DOI: 10.3934/mcrf.2020023
Nicolas Augier , , Ugo Boscain , Mario Sigalotti , ,

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.

中文翻译:

半圆锥特征值交点与量子系统的整体可控性问题

我们研究了依赖于两个控制的有限维实哈密顿量的一参数摄动,并且我们证明,通常在哈密顿量的空间中,特征值的圆锥形交点可以退化为特征值的半圆锥形交点。然后,通过使用范式,我们研究了一般哈密顿量本征态之间的整体可控性问题。
更新日期:2020-03-22
down
wechat
bug