论文标题
通过旋转波近似获得的脱钩的哈密顿量的有效绝热控制
Effective adiabatic control of a decoupled Hamiltonian obtained by rotating wave approximation
论文作者
论文摘要
在本文中,我们研究了在多大程度上可以将绝热控制策略应用于通过旋转波近似获得的量子控制模型。特别是,我们表明,在表征旋转波和绝热近似的参数之间的适当假设下,诱导的流通过分别考虑两个近似值并在级联中正式组合来获得的诱导流量。结果,我们提出了明确的控制定律,可用于诱导所需的种群转移,相对于受控的哈密顿量的参数分散稳定。
In this paper we study up to which extent we can apply adiabatic control strategies to a quantum control model obtained by rotating wave approximation. In particular, we show that, under suitable assumptions on the asymptotic regime between the parameters characterizing the rotating wave and the adiabatic approximations, the induced flow converges to the one obtained by considering the two approximations separately and by combining them formally in cascade. As a consequence, we propose explicit control laws which can be used to induce desired populations transfers, robustly with respect to parameter dispersions in the controlled Hamiltonian.